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Cabello, J.C. and Cabrera, M.
Structure theory for multiplicatively semiprime algebras
DOI: 10.1016/j.jalgebra.2004.07.035
J. Algebra 282 (2004), N1, 386-421
Description: An (nonassociative) algebra is called multiplicatively semiprime, if it is semiprime and its multiplcation algebra is semiprime. A sort of structure theory for them is developed. Particularly, a finite-dimensional algebra is multiplicatively semiprime iff it is a direct sum of simple algebras.
Availability: science.pdf
Algebras whose multiplication algebra is semiprime. A decomposition theorem
DOI: 10.1016/j.jalgebra.2007.11.014
J. Algebra 319 (2008), N3, 911-937
Cabezas, J.M. and Camacho, L.M. and Gomez, J.R. and Jimenez-Merchan, A. and Pastor, E. and Reyes, J. and Rodriguez, I.
Some problems about nilpotent Lie algebras
Ring Theory and Algebraic Geometry (ed. A.Granja and J.A.Hermida), Marcel Dekker, 2001, 59-
Description: A survey on filiform Lie algebras and such.
Availability: google print; filiform.tar (pp. 59-70 only); ring-theory-and-algebraic-geometry.pdf (whole book)
Cabrera, M. and Mohammed, Amir A.
Extended centroid and central closure of multiplicatively semiprime algebras
Comm. Alg. 29 (2001), N3, 1215-1233
Availability: 100001678.pdf
Cagliero, L. and Rojas, N.
Faithful representations of minimal dimension of current Heisenberg Lie algebras
arXiv:0803.1076
Description: Lie algebras of type (Heisenberg) \otimes K[t]/(t^n).
Cagliero, Leandro and Tirao, Paulo
The adjoint homology of the free 2-step nilpotent Lie algebra
Quarterly J. Math. 53 (2002), No. 2, 125-145
MR 2003e:17030
Availability: 530125.pdf
The cohomology of the cotangent bundle of Heisenberg groups
DOI: 10.1016/S0001-8708(03)00051-3
Adv. Math. 181 (2004), N2, 276-307
Zentralblatt: 1037.17020
Description: Cohomology of Heisenberg Lie algebra with exterior power adjoint coefficients. The case of trivial coefficients is also treated in passing (p.296).
Availability: 2004-advmath.pdf
On the adjoint homology of 2-step nilpotent Lie algebras
Bull. Austral. Math. Soc. 71 (2005), no. 2, 177--182
Cahen, Michel and Gutt, Simone and Rawnsley, John
Quantization of Kahler manifolds. II
Availability: kaehler-II.pdf
Cairns, Grant
The approximative centre of a Lie algebra
J. Lie Theory 12 (2002), 205-216
Description: May be related to considering relationship between Lie algebras and groups in the deformation-theoretic framework.
Cairns, Grant and Jambor, Sebastian
The cohomology of the Heisenberg Lie algebras over fields of finite characteristic
DOI: 10.1090/S0002-9939-08-09422-7
Proc. Amer. Math. Soc. 136 (2008), 3803-3807
Cairns, Grant and Jessup, Barry
New bounds on the Betti numbers of nilpotent Lie algebras
Comm. Algebra 25 (1997), No.2, 415-430
MR 98a:17032
Zentralblatt: 0873.17019
Cohomology operations for Lie algebras
URL: http://www.latrobe.edu.au/mathstats/staff/cairns/publications_preprints.html http://www.ams.org/tran/2004-356-04/S0002-9947-03-03392-0/home.html
Trans. Amer. Math. Soc. 356 (2004), 1569-1583
Description: Cohomology operations associated with action of Z(L) on End H*(L,R).
Availability: longops.pdf
Free submodules for the central representation in the cohomology of Lie algebras
DOI: 10.1090/S0002-9939-08-09250-2
Proc. Amer. Math. Soc. 136 (2008), 1919-1923
Description: Structure of H^*(L) as \wedge Z(L)-module.
Availability: S0002-9939-08-09250-2.pdf
Cairns, Grant and Jessup, Barry and Pitkethly, Jane
On the Betti numbers of nilpotent Lie algebras of small dimension
Albert, Claude (ed.) et al., Integrable systems and foliations. Feuilletages et syst?mes int?grables. Papers from a colloquium, Montpellier, France, May 22--26, 1995. In honor of Pierre Molino's 60th birthday. Boston, MA: Birkh?user. Prog. Math. 145, 19-31 (1997).
Zentralblatt: 0866.17016
Cairns, Grant and Kim, Gunky
Lie Algebras of Least Cohomology
URL: http://www.latrobe.edu.au/mathstats/staff/cairns/publications_preprints.html http://www.emis.de/journals/JLT/vol.10_no.2/cairnspl.ps.gz
J. Lie Theory 10 (2000), N2, 435-441
Zentralblatt: 0978.17013
Abstract: We classify those finite dimensional Lie algebras, over a field $\k$ of characteristic zero, whose cohomology with trivial coefficients has dimension 2. We show that the only such algebras are the 3-dimensional simple algebras and the semi-direct products $\n\rtimes_\phi \k$, where $\n$ is a nilpotent Lie algebra and $\phi\colon\n\to \n$ is a derivation which induces a non-singular map in each cohomology space $H^i(\n)$, for $i>0$.
The mod 4 behaviour of total Lie algebra cohomology
Arch. Math. 77 (2001), 177-180
Description: Of nilpotent Lie algebras over Q.
Caldararu, Andrei and Giaquinto, Anthony and Witherspoon, Sarah
Algebraic deformations arising from orbifolds with discrete torsion
math.KT/0210027
JPAA 187 (2004), no. 1-3, 51--70
Abstract: We develop methods for computing Hochschild cohomology groups and deformations of crossed product rings. We use these methods to find deformations of a ring associated to a particular orbifold with discrete torsion, and give a presentation of the center of the resulting deformed ring. This connects with earlier calculations by Vafa and Witten of chiral numbers and deformations of a similar orbifold.
Calderbank, A.R. and Hanlon, P. and Sundaram, S.
Representations of the symmetric group in deformations of the free Lie algebra.
Trans. Amer. Math. Soc. 341(1994), no. 1, 315-333
MR 94c:20026
Calude, Cristian S. and Calude, Elena and Marcus, Solomon
Passages of Proof
math.HO/0305213
Abstract: In this paper we propose a new perspective on the evolution and history of the idea of mathematical proof. Proofs will be studied at three levels: syntactical, semantical and pragmatical. Computer-assisted proofs will be give a special attention. Finally, in a highly speculative part, we will anticipate the evolution of proofs under the assumption that the quantum computer will materialize. We will argue that there is little `intrinsic' difference between traditional and `unconventional' types of proofs.
Calvanese, Diego and Dragone, Luigi and Nardi, Daniele and Rosati, Riccardo and Trisolini, Stefano M.
Enterprise modeling and Data Warehousing in Telecom Italia
Information Systems Volume 31, Issue 1 , March 2006, Pages 1-32
Description: Lot of mumbo-jumbo with extended ER-model, but implementational part partially resembles (weakened) snark (storing schema data in database aside and using it to construct queries) (section 6.3). Focus on data integration.
Availability: science-1.pdf
Calvin, James A. and Dykstra, Richard L.
REML estimation of covariance matrices with restricted parameter spaces
DOI: 10.2307/2291157
J. Amer. Stat. Assoc. 90 (1995), No. 429, 321-329
Availability: 1995-reml.pdf
Calvo, Miquel and Oller, Josep M.
A distance between multivariate normal distributions based in an embedding into the Siegel group
DOI: 10.1016/0047-259X(90)90026-E
J. Multivariate Anal. 35 (1990), N2, 223-242
Availability: 1990-distance.pdf; hardcopy
Camacho, L. M. and Gómez, J. R. and Navarro, R. M. and Rodríguez, I.
Mathematica and Heisenberg Type Superalgebras
Journal of Lie Theory 16 (2006), No. 1, 115--130
Camara, Antonio
A generalization of the Brennan-Rubinestein approach for the pricing of derivatives
J. of Finance LVIII(2003), N2, 805-
Description: Black-Scholes and such
Availability: hardcopy
Camillo, Victor and Simón, Juan Jacobo
The Nicholson-Varadarajan Theorem on Clean Linear Transformations
Glasgow Mathematical Journal (2002), 44:365-369
Description: ref. to the fact that in a ring of linear transfromations on a countable dim. vector space, each element may be represented as a sum of a unit and idempotent.
Campana, F. and Peternell, Th.
Cycle spaces
Grauert, H. (ed.) et al., Several complex variables VII. Sheaf- theoretical methods in complex analysis. Berlin: Springer-Verlag. Encycl. Math. Sci. 74, 319-349 (1994)
Zentralblatt: 0811.32020
Availability: hardcopy
Campbell, H.E.
Concerning Cartan's criterion
Proc. AMS 4(1953), No.4, 515-518
Description: Musing on the Levi-Malcev decomoposition theme.
Availability: 1953-cartan.pdf
Campoamor-Stursberg, Rutwig
Generalized Casimir invariants of six dimensional solvable real Lie algebras with five dimensional nilradical
arXiv:math.RA/0206210
2-step solvable Lie algebras associated to nonsplit 7-dimensional fundamental algebras.
Algebras Groups Geom. 19 (2002), N2, 147-161.
Invariants of solvable rigid Lie algebras up to dimension 8
J. Phys. A 35 (2002), 6293-6306
arXiv:math.RA/0202006
Availability: hardcopy
Generalization of the embedding problem of dynamical systems into Lie algebras
Hadronic J. 25 (2002), N3
Contractions of Lie algebras and generalized Casimir invariants
Acta Phys. Polonica B 34 (2003), N8, 3901-3920
arXiv:math.RA/0111185
Non-semisimple Lie algebras with Levi factor so(3), sl(2,R) and their invariants
arXiv:math.RA/0208195
J. Phys. A: Math. Gen. 36 (2003), 1357-1369
A graph theoretical determination of solvable complete rigid Lie algebras
DOI: 10.1016/S0024-3795(03)00494-4
Lin. Alg. Appl. 372(2003), 53-66
Availability: science.pdf
The structure of the invariants of perfect Lie algebras. II
URL: http://stacks.iop.org/0305-4470/37/3627 http://stacks.iop.org/0305-4470/37/7977
J. Phys. A 37 (2004), no.11, 3627-3643; Corrigendum: 37(2004), 7977
Description: Structure of Lie algebras whose radical is a (nilpotent) Heisenberg algebra.
Availability: PerfektII.pdf, a4_32_c01.pdf (corrigendum)
An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms
Phys. Lett. A 327 (2004), 138-145
Availability: PLA04.pdf
On the preservation of the quantity N(g) for discrete Z_n-graded contractions of Lie algebras
Hadronic J. 27 (2004), no. 2, 193-227
Solvable Lie algebras defined by the product of generators, and some of their applications (in Russian)
arXiv:math.RT/0505340
Fund. Prikl. Mat. 11 (2005), n4, 85--94
Simple completable contractions of nilpotent Lie algebras
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=1072-3374&volume=128&issue=4&spage=3114 http://www.ingentaconnect.com/content/klu/joth/2005/00000128/00000004/00000258
J. Math. Sci. 128 (2005), 3114-3120
arXiv:math/0108151
Availability: JMS_128_3114.pdf
A new matrix method for the Casimir operators of the Lie algebras ws(N,R) and Isp(2N,R)
J. Phys. A: Math. Gen. 38 4187-4208
Availability: a5_19_009.pdf
Invariants of the coadjoint representation of Lie algebras in dimension n\leq 8 (in Russian)
arXiv:math.RT/0508584
Determinantal formulae for the Casimir operators of inhomogeneous Lie algebras
DOI: 10.1088/0305-4470/39/44/C01
J. Phys. A: Math. Gen. 39 (2006), 2325-2337; Corrigendum: 39 (2006), 13841
Description: Contractions.
Invariants of nine dimensional real Lie algebras with nontrivial Levi decomposition
arXiv:math-ph/0605045
Number of missing label operators and upper bounds for dimensions of maximal Lie subalgebras
Acta Phys. Polon. B 37 (2006), no. 10, 2745--2760
Affine Lie algebras with non-compact rank one Levi subalgebra and their invariants
Acta Phys. Polon. B 38 (2007), no. 1, 3--20
Description: Contractions.
Non-solvable contractions of semisimple Lie algebras in low dimension
DOI: 10.1088/1751-8113/40/20/008
J. Phys. A: Math. Theor. 40 (2007), 5355-5372
Description: Deformations of low-dimensional Lie algebras from their Levi-Malcev decomposition.
A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations
DOI: 10.1016/j.physleta.2006.10.050
Phys. Lett. A 362 (2007), N5-6, 360-367
Description: Unexpected behaviour of cohomology and central extensions under contractions and deformations.
A note on the classification of nine dimensional Lie algebras with nontrivial Levi decomposition
Int. Math. Forum 2 (2007), no. 25-28, 1341--1344
Internal labelling operators and contractions of Lie algebras
DOI: 10.1088/1751-8113/40/49/011
J. Phys. A: Math. Theor. 40 (2007), 14773-14790
Quasi-classical Lie algebras and their contractions
DOI: 10.1007/s10773-007-9482-3
Int. J. Theor. Phys. 47 (2008), N2, 583-598
Description: Quasi-classical = with nondegenerate symmetric invariant form. When such a Lie algebra is a contraction of a reductive one?
Contractions and deformations of quasiclassical Lie algebras preserving a nondegenerate quadratic Casimir operator
DOI: 10.1134/S1063778808050104
Phys. Atomic Nuclei 71 (2008), N5, 830-835
Availability: 2008-contractions.pdf; DESCR(HIDDEN): Nothing substantial.
Campoamor-Stursberg, Rutwig and Gascon, F.G. and Peralta-Salas, D.
Dynamical systems embedded into Lie algebras
J. Math. Phys. 42(2001), N12, 5741-5752
Availability: hardcopy
Campoamor-Stursberg, R. and Manturov, V.O.
V. V. Trofimov's legacy in Lie theory
DOI: 10.1007/s10958-005-0248-2
J. Math. Sci. 128 (2005), 3007-3009
Availability: JMS_128_3007.pdf
Invariant tensor formulas via chord diagrams
J. Math. Sci. 128 (2005), 3018-3029
Availability: JMS_128_3018.pdf
Campoamor-Stursberg, R. and Rausch de Traubenberg, M.
Kinematical superalgebras and Lie algebras of order 3
DOI: 10.1063/1.2942414
J. Math. Phys. 49, 063506 (2008)
arXiv:0801.2630
Description: Inonu-Wigner contractions.
Campos, T.M.M. and Holgate, P.
Algebraic isotopy in genetics
DOI: 10.1093/imammb/4.3.215
Mathematical Medicine and Biology 4 (1987), N3, 215-222
MR 88k:17026
Zentralblatt: 0628.92018
Description: Many algebras occuring in genetics are isotopic.
Availability: 215.pdf
Camps, Thorsten and Rebel, Volkmar große and Rosenberger, Gerhard
Einführung in die kombinatorische und die geometrische Gruppentheorie
Heldermann Verlag, 2008, 298 Seiten
Description: Including hyperbolic groups.
Cancelliere, Francesco and Johnson, Vicki and Aarseth, Sverre
Educational N - Body Websites
DOI: 10.1007/978-1-4020-8431-7_16
Lecture Notes in Physics Volume 760/2008, The Cambridge N-Body Lectures Pages 391-397
Candielli, A.
Reply on the comment on "Wbase: A C package to reduce tensor products of Lie algebra representations".
Comput. Phys. Commun. - 1994. - 83, N 2-3. - p. 334
Cannas da Silva, Ana
Lectures on Symplectic Geometry
DOI: 10.1007/b80865
LNM 1764 (2001)
Availability: Kolkhoz
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Cannas da Silva, Ana and Weinstein, A.
Geometric Models for Noncommutative Algebras
URL: http://math.berkeley.edu/~alanw/ http://www.math.ist.utl.pt/~acannas/Books/models_final.pdf http://ef12517-2.tu-sofia.bg/Desislav Todorov/Frames/Books/Mathematics/Geometry/
AMS, 1999
Description: Deformations, Lie algebroids, etc.
Availability: Kolkhoz
Cantarini, Nicoletta
Z-graded Lie superalgebras of infinite depth and finite growth
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 1 (2002), no. 3, 545--568
Cantarini, Nicoletta and Kac, Victor
Infinite dimensional primitive linearly compact Lie superalgebras
DOI: 10.1016/j.aim.2006.02.013
Adv. Math. 207 (2006), N1, 328-419
arXiv:math.QA/0511424
Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras
DOI: 10.1142/S0219887806001624
Int. J. Geom. Meth. Modern Phys. 3 (2006), No.5-6, 845-867
arXiv:math.QA/0601292
Zentralblatt: (me)
Availability: hardcopy
Classification of linearly compact simple Jordan and generalized Poisson superalgebras
DOI: 10.1016/j.jalgebra.2006.10.040
J. Algebra 313 (2007), N1, 100-124 (Special Issue in Honor of Ernest Vingerg)
arXiv:math.QA/0608390
Cantwell, Brian J.
Introduction to Symmetry Analysis
Cambridge Univ. Press, 2002, with CDROM
Description: Lie's symmetry analysis of differential equations. A very pedestrian and pedagogical approach.
Availability: 2002-introduction.djvu
Cao, You An (=Cao, Youan)
Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
DOI: 10.1006/jabr.1996.6866
J. Algebra 189 (1997), No.2, 506-513
Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings
Linear Algebra Appl. 329 (2001), no.1-3, 175-187
Cao, You An and Tan, Zuowen
Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring
Linear Algebra Appl. 360 (2003), 105--122
Cao, Huai-Dong and Zhou, Jian
On quantum de Rham cohomology theory
Electron. Res. Announc. Amer. Math. Soc. 5 (1999), 24-34
Description: Quantum exterior algebra, quantum de Rham complex.
Caprace, Pierre-Emmanuel
On 2-spherical Kac-Moody groups and their central extensions
Forum Math. 19 (2007), no. 5, 763--781
Caranti, A.
Presenting the graded Lie algebra associated to the Nottingham group
J. Algebra 198 (1997), No.1, 266-289
Loop algebras of Zassenhaus algebras in characteristic three
Israel J. Math. 110 (1999), 61-73
Description: Central extensions of current Lie algebra over Zassenhaus algebra in p=3.
Caranti, A. and Mattarei, S.
Some thin Lie algebras related to Albert-Frank algebras and algebras of maximal class
J. Austral. Math. Soc. Ser. A 67 (1999), no.2, 157-184
Description: Description of some infinite-dimensional graded modular Lie algebras and their relationship with current Lie alebras over Albert-Frank algebras; central extension of Albert-Frank algebras; Lucas-theorem-related identities and calculations.
Notthingham Lie algebras with diamonds of finite type.
Internat. J. Algebra Comput. 14 (2004), no. 1, 35-67
Description: Structure, presentations and central extensions of some modular graded Lie algberas, related combinatorial identites
Gradings of non-graded Hamiltonian Lie algebras
URL: http://www-math.science.unitn.it/~mattarei/Ricerca/Preprints/Hamiltonian.pdf http://www.austms.org.au/Publ/Jamsa/V79P3/r74.html
J. Austral. Math. Soc. Ser. A 79 (2005), no. 3, 399--440
arXiv:math.RA/0510431
Caranti, A. and Mattarei, S. and Newman, M.F.
Graded Lie algebras of maximal class
URL: http://www-math.science.unitn.it/~caranti/subindex.html http://links.jstor.org/sici?sici=0002-9947(199710)349%3A10%3C4021%3AGLAOMC%3E2.0.CO%3B2-O https://www.ams.org/tran/1997-349-10/S0002-9947-97-02005-9/S0002-9947-97-02005-9.pdf
Trans. Amer. Math. Soc. 349 (1997), no.10, 4021-4051
Description: Description of some infinite-dimensional graded modular Lie algebras and their relationship with some current Lie alebras and Albert-Frank algebras; Lucas-theorem-related identities and calculations.
Caranti, A. and Newman, M. F.
Graded Lie Algebras of Maximal Class, II
Journal of Algebra Volume 229, Issue 2 , 15 July 2000, Pages 750-784
MR 2001g:17041
Availability: science-2.pdf
Carbone, A. and Gromov, M.
Mathematical slices of molecular biology
Gazette des Mathematiciens 88 (2001), 11-80
Availability: hardcopy
Functional labels and syntactic entropy on DNA strings and proteins
DOI: 10.1016/S0304-3975(02)00443-7
Theor. Comp. Sci. 303 (2003), N1, 35-51
Carinena, Jose F. and Grabowski, Janusz and Marmo, Giuseppe
Contractions: Nijenhuis and Saletan tensors for general algebraic structures
arXiv:math.DG/0103103
J. Phys. A: Math. Gen. 34 (2001), 3769-3789
Description: A contraction theory of algebras is developed, when a transformation family is linear (Saletan contractions), mainly in analytic setting.
Availability: hardcopy
Carini, L. and Regev, A.
Young derivatives and the trace cocharacters of the 2x2 matrices
Methods in Ring Theory (ed. V.Drensky, S.K.Sehgal, A.Giambruno), M.Dekker, 1998, 63-
Availability: 1.tar (first 3 pages only)
google books
Carles, Roger
Sur la structure des algebres de Lie rigides
Ann. Inst. Fourier 34 (1984), No.3, 65-82
Zentralblatt: 0519.17004
Description: Relationship and combinations of different conditions (fin.-dim. alg.cl., p=0): perfectness, absence of non-inner derivation, zero center, local rigidity, etc. References to examples of perfect algebras with non-zero center.
Availability: ann-inst-fourier.djvu
Sur certaines classes d'algèbres de Lie rigides
DOI: 10.1007/BF01455861
Math. Ann. 272 (1985), 477-488
Zentralblatt: 0559.17010
Un example d'algebre de Lie resolubles rigides, au deuxieme groupe de cohomologie non nul et pour lesquelles l'application quadratique de D.S.Rim est injective
CRAS 300(1985), N14, 467-469
Zentralblatt: 0576.17009
Sur la cohomologie d'une nouvelle classe d'algèbres de Lie qui généralisent les sous-algèbres de Borel
J. Algebra 154 (1993), no.2, 310-334
MR 94h:17009
Zentralblatt: 0796.17019
Description: Some (not very deep) results about cohomology of a Lie algebra given as quitient L/I of a free algebra L, achieved by applying Hochschild-Serre spectral sequence to L with respect to I.
Availability: hardcopy
Construction des alge`bres de Lie comple`tes
C. R. Acad. Sci. Paris 318 (1994), No.8, 711-714
Zentralblatt: 0826.17023
De'formations dans les sche'mas de'finis par les identite's de Jacobi
Ann. Math. Blaise Pascal 3 (1996), No.2, 33-62
MR 1435315
Zentralblatt: 0919.17015 0919.17015
Sur les suites d'algebres de Lie de derivations
DOI: 10.1007/s000130050194
Arch. Math. 70 (1998), No.4, 262-269
Zentralblatt: 0909.17005
Description: Iterative derivation algebras.
Carles, R. and Diakite, Y.
Sur les varietes d'algebres de Lie de dimension <=7
DOI: 10.1016/0021-8693(84)90125-X
J. Algebra 91 (1984), N1, 53-63
Zentralblatt: 0546.17006
Availability: 1984-varietes.pdf
Carles, Roger and Petit, Toukaiddine
Deformations of Lie algebras and induction of schemes
math.AG/0703277
Carlson, Jon F.
Calculating group cohomology: tests for completion
DOI: 10.1006/jsco.1999.1003
J. Symb. Comp. 31 (2001), N1-2, 229-242
Description: "Completion" means to test whether the computations are complete.
Carlson, Jon F. and Matthews, Graham
Generators and relations for matrix algebras
DOI: 10.1016/j.jalgebra.2006.01.043
J. Algebra 300 (2006), N1, 134-159
Description: Algorithms to produce generators and relations of an associative algebra generated by a finite set of matrices.
Carlson, J. and Nakano, D. and Peters, K.
On the vanishing of extensions of modules over reduced enveloping algebras
DOI: 10.1007/BF01444507
Math. Ann. 302 (1995), 541--560
Availability: cnp.pdf; hardcopy
Carlson, Jon F. and Townsley, Lisa and Valero-Elizondo, Luís and Zhang, Mucheng
Cohomology Rings of Finite Groups
Kluwer, 2003, 790 pp.
Abstract: This text offers comprehensive coverage of group cohomology, from introductory material through the most recent developments in the field. The primary motivation for this book is the interaction of group cohomology with representation theory, especially the geometry of support varieties over cohomology rings. The appendices, comprising computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64, provide information useful for further developments in the field. A unique feature of this text is that it includes the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the computations. The programs for computing the cohomology rings were executed in the MAGMA computer algebra language.
Carlsson, R.
The first Whitehead lemma for Malcev algebras
DOI: 10.2307/2041363
PAMS 58 (1976), 79-84
Cohomology of associative triple system
DOI: 10.2307/2041098
Proc. AMS 60 (1976), 1-7. Erratum and Supplement: 67 (1977), 361
Carlsson, G. and Memoli, F.
Persistent clustering and a theorem of J. Kleinberg
arXiv:0808.2241
Description: Various existing clustring algorithms analyzed from the point of view of persistent homology. Language is very theoretical, with functors and such.
Carlsson, Gunnar and Silva, Vin de
A geometric framework for sparse matrix problems
DOI: 10.1016/j.aam.2003.08.002
Adv. Appl. Math. 33 (2004), N1, 1-25
Abstract: In this paper, we set up a geometric framework for solving sparse matrix problems. We introduce geometric sparseness, a notion which applies to several well-known families of sparse matrix. Two algorithms are presented for solving geometrically-sparse matrix problems. These algorithms are inspired by techniques in classical algebraic topology, and involve the construction of a simplicial complex from certain data on the matrix. In both cases, large parts of the computation can be parallelised.
Carlström, Jesper
A constructive version of Birkhoff's theorem
DOI: 10.1002/malq.200710023
MLQ Volume 54, Issue 1 , Pages 27 - 34 30 Jan 2008
Availability: 2008-constructive.pdf
Carmichael, Robert D.
Introduction To The Theory Of Groups of Finite Order
Ginn, 1937
Jahrbuch: 63.0860.01
Availability: Kolkhoz's obmennik; hardcopy
Carminati, John and Vu, Khai
Symbolic computation and differential equations: Lie symmetries
J. Symb. Comp. 29 (2000), 95-116
Availability: lie-symm-cv.djvu
Carr, Peter and Wu, Liuren
The finite moment log stable process and option pricing
The Journal of Finance LVIII(2003), N2, 753-
Availability: hardcopy
Carrara, Claretta
(Finite) presentations of the Albert-Frank-Shalev Lie algebras
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. 4 (2001), no. 2, 391--427
MR 2003d:17020
Carrasco, P. and Garzon, A.R.
Obstruction theory for extensions of categorical groups
Description: some general categorical settings for extensions and related homological constructions; see also refs. therein
Carrasco, Pilar and Marti'nez Moreno, J.
Categorical G-crossed modules and 2-fold extensions
Journal of Pure and Applied Algebra Volume 163, Issue 3 , 8 October 2001, Pages 235-257
Description: Some (categorical group) 2- and 3-extensions described by H^{3,4}.
Carrega, Jean-Claude
Exclusion d'algebres
CRAS 295 (1982), 43-
Description: Universal algebras, not containing subalgebras from the given class. Examples of lattices.
Availability: hardcopy (first page only); Central Icelandic library, 3rd floor
Cartan, H. and Eilenberg, S.
Homological Algebra
7th printing, Princeton Uinv. Press, 1973 (originally published in 1956); paperback, 390 pp.
Description: Homology of semigroup and its group if fractions coincide.
Availability: hardcopy; cartan-eilenberg.djvu (Russian edition); Kolkhoz (Russian edition)
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Cartan, Elie
Structure des groupes des transformations finis et continus
URL: cartan/cartan.djvu
These, 1894
Jahrbuch: 25.0638.02
Description: A famous Cartan's thesis about classification of simple Lie algebras.
Les groupes de transformations continus, infinis, simples
Ann. Sci. ENS 26 (1909), 93-161
Jahrbuch: 40.0193.02
Description: Infinite-dimensional Lie algebras of vector fields.
Les representations lineaires des groupes de Lie
J. M. Pures Appl. 9 (1937), N17, 1-12
Description: Another Lie-group proof of Ado's theorem.
The Theory of Spinors
Dover, 1981 (English translation from Leçons sur la théorie des spineurs, Hermann, Paris, 1938); paperback, 157 pp.
Availability: hardcopy (book); Kolkhoz (Russian translation)
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Geometriya grupp Lie i simmetricheskie prostranstva
Izdat. Inostr. Lit., 1949 (Russian translation of collection of articles)
Availability: Kolkhoz; absent on amazon
Izbrannye trudy
MCCME, 1998 (in Russian)
Description: Interesting.
Availability: Kolkhoz; absent on amazon
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Cartan, Henri
André Weil: Memories of a Long Friendship
Notices AMS, June/July 1999
Carter, J. Scott and Crans, Alissa S. and Elhamdadi, Mohamed and Karadayi, Enver and Saito, Masahico
Cohomology of Frobenius algebras and the Yang-Baxter equation
arXiv:0801.2567
Description: Cohomological theory similar to cohomology of bialgebras with double complex
Carter, J. Scott
Set theoretic Yang-Baxter solutions via Fox calculus
arXiv:math.GT/0503166
Carter, R.W.
On the representation theory of the finite groups of Lie type over an algebraically closed field of charactersistic 0
Algebra IX, Encyclopaedia of Mathematical Sciences, Springer, Vol. 77, 1996, 3-120
Availability: algebra-9.djvu (whole book); Kolkhoz (Russian edition, VINITI); VRII 510.3 Enc
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Cartier, P.
Effacement dans la cohomologie des alge`bres de Lie
Se'minaire Bourbaki, 1954/1955, Exp. 116
Description: Lie superalgebras apparently appear for first time (in cohomological context). Including the proof of Ado's theorem; this is essentially identical to treatment given in the seminar "Sophus Lie". Cases p=0 and p>0 treated differently.
Availability: hardcopy
Remarks on "Lie algebra cohomology and the generalized Borel-Weil theorem", by B. Kostant
Ann. Math. 74 (1961), No. 2, 388-390
Availability: 1.pdf
Jean Dieudonn´e (1906-1992) mathematician
Preprint IHES IHES/M/05/28, 2005
Chto takoe operada?
Description: Some collection of papers (translations?), pp. 86-94
Availability: cartier3.ps; hardcopy
Casas, Jos Manuel (=Casas-Miras)
Central extensions of Leibniz algebras
Extracta Mathematicae 1998, 13 (3): 393-397
Homology with trivial coefficients of Leibniz n-algebras
Comm. Algebra 31 (2003), no.3, 1377--1386
Abstract: We introduce homology K-vector spaces with trivial coefficients for Leibniz n-algebras and we obtain exact sequences relating them. As a consequence we get a Hopf formula and several results on central extensions of Leibniz n-algebras.
On Cohomology of Lie-Rinehart Algebras
Proceedings of the XV International Workshop on Geometry and Physics Puerto de la Cruz, Tenerife, Canary Islands, Spain September 11-16, 2006 Publ. de la RSME, Vol. 11 (2007), 264-269
Casas, J. M. and Datuashvili, T.
Noncommutative Leibniz-Poisson algebras
DOI: 10.1080/00927870600651091
Comm. Algebra 34 (2006), N7, 2507-2530
Description: Including cohomology.
Casas, J.M. and Faro, E. and Vieites, A.M.
Abelian extensions of Leibniz algebras
DOI: 10.1080/00927879908826595
Comm. Algebra 27 (1999), N6, 2833-2846
Casas, J.M. and Inassaridze, N. and Khmaladze, E. and Ladra, M.
Homology of (n+1)-types and Hopf type formulas
DOI: 10.1016/j.jpaa.2005.01.008
J. Pure Appl. Algebra 200 (2005), N3, 267-280
Zentralblatt: 1075.18009
Casas, Jose Manuel (=Casas Miras) and Ladra, Manuel (=Ladra Gonzalez)
Stem extensions and stem covers of Leibniz algebras
Georgian M.J. 9 (2002), 659-669
Abstract: Some properties on stem extensions and stem covers of Leibniz algebras are studied by means of exact sequences associated to a central extension of Leibniz algebras. We obtain particular results in case of perfect Leibniz algebras.
Non-abelian tensor product of Leibniz algebras and an exact sequence in Leibniz homology
Comm. Algebra 31 (2003), no.9, 4639-4646
Description: Hopf-like formulae.
Availability: nonabelian.pdf
Computing Low Dimensional Leibniz Homology of Some Perfect Leibniz Algebras.
Southeast Asian Bulletin of Mathematics; 2007, Vol. 31 Issue 4, p683-690
Description: Of sl_n(A) and close to it, Kac-Moody, and Virasoro.
Casas, J.M. and Ladra, M. and Pirashvili, T.
Crossed modules for Lie-Rinehart algebras
DOI: 10.1016/j.jalgebra.2003.10.001
J. Algebra 274(2004), N1, 192-201
Zentralblatt: 1046.17006
Abstract: We introduce the notion of crossed module for Lie-Rinehart algebras and prove that they are classified by the third cohomology of Lie-Rinehart algebras developed in [J. Huebschmann, J. Reine Angew. Math. 408 (1990) 57-113; G.S. Rinehart, Trans. Amer. Math. Soc. 108 (1963) 195-222].
Availability: crossed.pdf
Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras
DOI: 10.1016/j.jalgebra.2005.05.018
math.KT/0307354
J. Algebra 291 (2005), no. 1, 144--163
Zentralblatt: pre02219012
Abstract: We introduce a bicomplex which computes the triple cohomology of Lie--Rinehart algebras. We prove that the triple cohomology is isomorphic to the Rinehart cohomology \cite{Ri} provided the Lie--Rinehart algebra is projective over the corresponding commutative algebra. As an application we construct a canonical class in the third dimensional cohomology corresponding to an associative algebra.
Casas, J. M. and Pirashvili, T.
Ten-term exact sequence of Leibniz homology
DOI: 10.1006/jabr.1999.8364
J. Algebra 231 (2000), N1, 258-264
Abstract: We construct a ten-term exact sequence of low dimensional Leibniz homology associated to a short exact sequence of Leibniz algebras. As a consequence we obtain an eight-term exact sequence associated to a central extension of Leibniz algebras.
Casas, Jose Manuel (=Casas Miras) and Vieites Rodriguez, A.M.
A five-term exact sequence for Opext of crossed modules in Lie algebras
DOI: 10.1007/s10011-000-0121-2
Algebra Colloq. 7 (2000), no. 2, 121--138
Availability: 00070121.pdf
Casselman, Bill
Mathematical Illustration. A Manual of Geometry and PostScript
URL: http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ http://www.edwardrhamilton.com/titles/7/1/3/7139942.html
Cambridge Univ. Press
Variations on graph minor
Notices AMS
Description: Features paper by Klaus Wagner in "Deutsche Mathematik".
Cassidy, Thomas and Shelton, Brad
PBW-deformation theory and regular central extensions
arXiv:math.RA/0603375
Abstract: A deformation $U$, of a graded $K$-algebra $A$ is said to be of PBW type if $grU$ is $A$. It has been shown for Koszul and $N$-Koszul algebras that the deformation is PBW if and only if the relations of $U$ satisfy a Jacobi type condition. In particular, for these algebras the determination of the PBW property is a {\it finite} and explicitly determined linear algebra problem. We extend these results to an arbitrary graded $K$-algebra, using the notion of central extensions of algebras and a homological constant attached to $A$ which we call the {\it complexity} of $A$.
Description: Of associative algebras.
Cathelineau, Jean-Louis
Homologie de degre trois d'algebres de Lie simple deployees etendues a une algebre commutative
Enseign. Math. 33(1987), 159-173
Availability: hardcopy
The Pfaffian and the Lie algebra homology of skew-symmetric matrices
Math. Res. Lett. 11 (2004), no. 2-3, 315--326
Catino, F. and Miccoli, M. M. and Nuccio, C.
A note on the tensor product of Lie soluble algebras
DOI: 10.1007/s00013-007-1969-x
Arch. Math. (Basel) 89 (2007), no. 1, 41--46
Cattaneo, U.
Irreducible Lie algebra extensions of the Poincaré algebra. II. Extensions with arbitrary kernels
Comm. Math. Phys. Volume 20, Number 3 (1971), 167-250
Cattaneo, Alberto S. and Indelicato, Davide
Formality and star products
math.QA/0403135, 48 pages
Description: A review of Kontsevich's formality theorem together with his formula for the star product on a given Poisson manifold.
Cattaneo, U. and Wreszinski, W.F.
On contraction of Lie algebra representations
Comm. Math. Phys. Volume 68, Number 1 (1979), 83-90
Cecchini, R. and Tarlini, M.
Symbolic superalgebra manipulation using COMMON LISP
Comput. Phys. Commun. 60 (1990), N2, 265-270.
Cederwall, M. and Ferretti, G. and Nilsson, B.E.W. and Westerberg, A.
Higher-dimensional loop algebras, non-abelian extensions and p-branes
hep-th/9401027
Nucl. Phys. B424 (1994) 97-123
Cejtin, Henry and Rivin, Igor
A property of alternating groups
math.GR/0303036
Abstract: We describe an efficient algorithm to write any element of the alternating group A_n as a product of two n-cycles (in particular, we show that any element of A_n can be so written). An easy corollary is that every element of A_n is a commutator in the symmetric group S_n.
Cellini, Paola and Moseneder Frajria, Pierluigi and Papi, Paolo
Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groups
math.RT/0311406
Int. Math. Res. Not. 2004, no. 43, 2281-2304
Abstract: Let g=g_0+ \g_1 be a simple Z_2-graded Lie algebra and let b_0 be a fixed Borel subalgebra of g_0. We describe and enumerate the abelian b_0-stable subalgebras of \g_1.
Celousov, M.Yu.
Derivations of the Lie algebras of Cartan type
Izv. VUZ 7(1970), N7, 126-134
Zentralblatt: 0243.17011
Description: Derivations of W_n(m).
Cerveau, D.
Dérivations surjectives de l'anneau F[x,y]
Journal of Algebra Vol. 195, No. 1, September 1, 1997 pp. 320-335
Description: derivations of polynomial ring?
Chafai, Djalil and Concordet, Didier
A new method for the estimation of variance matrix with prescribed zeros in nonlinear mixed effects models
arXiv:0709.0111
Description: Cumbersome.
Chaichian, M. and Leites, D. and Lukierski, J.
Spinor, Weyl and ghost representations of orthogonal, symplectic and periplectic Lie superalgebras
Preprint
Abstract: the language of odd parameters is used to describe deformations of Buttin (Schouten, anti-) bracket and Poisson bracket...
Description: seems to be very incomplete draft
Availability: ghost.{tex,dvi}
A NEW DOUBLY INFINITE DIMENSIONAL SUPERALGEBRA WITH CENTRAL EXTENSION
Florence 1989, Proceedings, Knots, topology and quantum field theories 645-652
N=6 FROM CENTRAL EXTENSION OF DOUBLY INFINITE SUPERALGEBRAS
Karpacz 1989, Proceedings, Functional integration, geometry and strings 421-432
NEW N=6 INFINITE DIMENSIONAL SUPERALGEBRA WITH CENTRAL EXTENSION
Preprint HU-TFT-89-16, Apr 1989. 8pp.
Phys.Lett.B225:347,1989
Chaitin, G.J.
Information, Randomness & Incompletness
World Scientific, 1987; paperback, 272 pp.
Description: Collection of papers
Availability: hardcopy (book)
Chalice, Donald R.
How to differentiate and integrate sequences
Amer. Math. Mon. 108(2001), N10, 911-
Description: A nice introduction to discrete differential calculus.
Availability: hardcopy (journal)
Chalupnik, Marcin
Schur-De-Rham complex and its cohomology
URL: http://hopf.math.purdue.edu/cgi-bin/generate?/Chalupnik/cohsdr http://dx.doi.org/10.1016/j.jalgebra.2004.08.029
Hopf preprints archive, 2003
Journal of Algebra Volume 282, Issue 2 , 15 December 2004, Pages 699-727
Abstract: We associate to a Young diagram a complex of strict polynomial functors which we call the Schur-De-Rham complex. Its cohomology turns out to reflect deep combinatorial properties of a diagram. We show that if a ground field is of characteristic p, the Schur-De-Rham complex is acyclic when the p-core of a diagram is nontrivial. We also compute its cohomology for a diagram with a trivial p-core and p-quotient consisting of a single diagram.
Extensions of strict polynomial functors
Hopf preprints archive, 2003
Abstract: We compute Ext-groups between various strict polynomial functors important in representation theory (eg. between twisted Weyl and Schur functors). Our method utilizes: computation of the Ext-groups between twisted divided and symmetric powers due to Franjou-Friedlander-Scorichenko-Suslin, resolutions of functors by divided and symmetric powers, interplay between functors and representations of the symmetric group.
Extensions of Weyl and Schur functors
Hopf preprints archive, 2003
Abstract: We use here the Schur-De-Rham complex to extend calculations of the Ext-groups between twisted Weyl and Schur functors initiated in the paper ``Extensions of strict polynomial functors''. The main result is a full calculation of those groups in the case of a pair of diagrams which can be obtained from diagrams of the same weights by the operation F described in ``Schur-De-Rham complex and its cohomology''.
Chamberland, Marc
A continuous extension of the 3x+1 problem to the real line
Dynamics of Continuous, Discrete and Impulsive Systems 2(1996), 495-509
Availability: 3x.pdf; hardcopy
Chan, Heng Huat and Krattenthaler, Christian
Recent progress in the study of representations of integers as sums of squares
Bull. Lond. Math. Soc. 37 (2005), No.6, 818-826
math.NT/0407061
Zentralblatt: pre05009918
Availability: hardcopy
Chance, D.M.
An Introduction to Derivatives
4th ed., The Dryden Press, 1998; hardcover, 785 pp.
Availability: hardcopy (book)
Chandler, Bruce and Magnus, Wilhelm
The History of Combinatorial Group Theory: A Case Study in the History of Ideas (in Russian)
Description: Interesting.
Availability: Kolkhoz
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Chang, Fay et al.
Bigtable: A Distributed Storage System for Structured Data
OSDI '06 Paper, pp. 205-218 of the Proceedings
Description: A Google database project, could be relevant to snark.
Chang, Weng-Long and Guo, Minyi and Ho, Michael Shan-Hui
Fast parallel molecular algorithms for DNA-based computation: factoring integers
IEEE Trans. Nanobiosci. 4(2005), N2, 149-
Availability: IEEE-NANOBIOSCIENSE-2005-6.pdf
Chang, C.C. and Keisler, H.J.
Continuous Model Theory, Mir, 1971 (Russian translation from Princeton Univ. Press, 1966); paperback, 184 pp.
Availability: hardcopy; absent on ozon; Kolkhoz (Russian edition)
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Model Theory
Mir, 1977 (Russian translation from North-Holland, 1973; there exists a later edition!)
Availability: hardcopy (printout); absent on ozon
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Chang, Feng Cheng
Inversion of a perturbed matrix
Appl. Math. Lett. 19 (2006), no. 2, 169--173
Availability: invers-perturb.pdf
Chang, Ho-Jui
Ueber Wittsche Lie-Ringe
Abh. Math. Sem. Hansischen Univ. 14(1941), 151-184
Availability: hardcopy
Chanyshev, A.D.
Sandwiches in Lie algebras
Vestnik MGU 44(1989), N2, 57-59
Chao, Chong-Yun
Uncountably many nonisomorphic nilpotent Lie algebras
Proc. AMS 13 (1962), No.6, 903-906
Some characterizations of nilpotent Lie algebras
DOI: 10.1007/BF01111285
Mathematische Zeitschrift Volume 103, Number 1 / February, 1968 Pages 40-42
Chao, Chong-Yun
On nilpotent Lie algebras
DOI: 10.1007/BF01224667
Archiv der Mathematik Volume 27, Number 1 / December, 1976 Pages 249-252
Availability: 1976-nilpotent.pdf
Chapoton, Fr\'ed\'eric
Free pre-Lie algebras are free as Lie algebras
arXiv:0704.2153
Chardin, Marc
Sur l'annulation de l'homologie du complexe de Koszul gradué
URL: http://smf.emath.fr/Publications/Bulletin/123/html/smf_bull_123_87-105.html (very extended abstract)
Bulletin de la Société mathématique de France 123 (1995), 87-105
Description: homology of some (generalized) Koszul complexes
Chari, Vyjayanthi and Greenstein, Jacob
An application of free Lie algebras to current algebras and their representation theory
Infinite-dimensional aspects of representation theory and applications, Contemp. Math. 392 (2005), 15-31
arXiv:math.RT/0502409
Abstract: We realize the current algebra of a Kac-Moody algebra as a quotient of a semi-direct product of the Kac-Moody Lie algebra and the free Lie algebra of the Kac-Moody algebra. Extensions of modules over current algebra.
Chari, Vyjayanthi and Moura, Adriano
Spectral characters of finite-dimensional representations of affine algebras
arXiv:math.RT/0312199
Abstract: We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters defined by Etingof and Moura for quantum affine algebras. We show that these characters determine blocks of the category of finite-dimensional modules for affine algebras. To do this we use the Weyl modules defined by Chari and Pressley and some indecomposable reducible quotient of the Weyl modules.
The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras
Comm. Math. Phys. 266 (2006), N2, 431 - 454
arXiv:math.RT/0507584
Description: Modules over classical Lie algebra \otimes polynomial algebra.
Chari, Vyjayanthi and Premet, Alexander
Indecomposable restricted representations of quantum sl_2
Publ. Res. Inst. Math. Sci. 30 (1994), No.2, 335-352
Zentralblatt: 0816.17007
Availability: hardcopy
Chari, Vyjayanthi and Pressley, Andrew
A Guide to Quantum Groups
Cambridge U. Press, 1994; paperback, 651 pp.
Description: Lie bialgebras, Manin triples, Drinfeld doubles, deformations of Poisson structures, quantization, CYBE, quantum de Rham complex, ... Frobenius algebras and CYBE (after Belan-Frinfeld and Stolin).
Availability: hardcopy (book)
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Charin, V. S. and Zaitsev, D. I.
Groups with finiteness conditions and other restrictions for subgroups
DOI: 10.1007/BF01061298
Ukrainian Mathematical Journal Volume 40, Number 3 / May, 1988 Pages 233-242
Description: A survey.
Availability: 1988-groups.pdf
Charlap, L. S. and Vasquez, A. T.
The Cohomology of Group Extensions
DOI: 10.2307/1994432
Transactions of the American Mathematical Society, Vol. 124, No. 1 (Jul., 1966), pp. 24-40
Description: Differentials in the Hochschild-Serre spectral sequence.
Chataur, David and Rodriguez, Jose Luis and Scherer, Jerome
Plus-construction of algebras over an operad, cyclic and Hochschild homologies up to homotopy
arXiv:math.AT/0301130
Abstract: The aim of this paper is to show how to apply the manichery of homotopical localization to the framework of differential graded algebras over an operad. By performing nullification with respect to an universal acyclic algebra one obtains plus construction. This plus construction applied to Lie and Leibniz algebras up to homotopy yields two new homology theories for associative algebras. They are closed to cyclic and Hochschild homologies. We also compute the first homology groups of these theories.
Description: Homology of gl(R) for Lie and Leibniz algebras up to homotopy.
Chaudhuri, Sanjay and Drton, Mathias and Richardson, Thomas S.
Estimation of a covariance matrix with zeros
DOI: 10.1093/biomet/asm007
arXiv:math.ST/0508268
Biometrika 2007 94(1):199-216
Availability: hardcopy
Chebochko, N G
Deformations of classical Lie algebras with homogeneous root system in characteristic two. I
DOI: 10.1070/SM2005v196n09ABEH003647
Mat. Sb. 196 (2005), no.9, 125--156
Sb. Math. 196 (2005), no.9-10, 1371-1402
MR 2195710
Zentralblatt: pre05268017 (me)
Availability: hardcopy (both English and Russian)
Deformacii algebry Lie tipa G_2 v characteristike 2
Manuscript
Availability: chebochko.pdf
Chebotar, M.A. and Fong, Yuen and Lee, Pjek-Hwee
On division rings with algebraic commutators of bounded degree
DOI: 10.1007/s00229-003-0430-0
Manuscr. Math. 113 (2004), 153-164
Availability: hardcopy
Chebotar', A.A.
Subgroups of groups with one defining relation that do not contain free subgroups of rank 2
DOI: 10.1007/BF02219843
Alg. and Logic 10 (1971), N5, 353-362
Availability: 1971-subgroups.pdf
Subgroups of groups with one defining relation having normal subgroups satisfying an identity
Alg. and Logic 15 (1976)
Chebotarev, N.G.
Vvedenie v teoriyu algebr
URSS, 2003 (in Russian); paperback, 88 pp.
Availability: hardcopy; Kolkhoz
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Teoriya grupp Lie
2nd printing, URSS, 2003
Description: "Gruppovoe yadro" is, essentially, a Lie algebra, so this is a book largely about Lie algebras. Sophus Lie's classification of finite-dimensional Lie algebras of vector fields. Of course, the langauge and approach are archaic.
Availability: hardcopy
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Chen, K.T. and Fox, R H. and Lyndon, R.C.
Free differential calculus. IV. The quotients groups of the lower cenral series
Ann. Math. 68(1958), N1, 81-95
Availability: fox4.pdf; hardcopy
Chen, Hongjia and Gao, Yun and Shang, Shikui
Universal coverings of Steinberg Lie superalgebras st(m,n,R) when m + n = 3, 4
arXiv:math.QA/0606119
Chen, Cui and Lian, Hai Feng
Universal central extension for a torus-type Lie algebra (Chinese. English summary)
Xiamen Daxue Xuebao Ziran Kexue Ban 45 (2006), no. 5, 610--613
Chen, Liang Yun (=Liangyun) and Meng, Dao-ji (=Daoji)
On restricted Lie superalgebras with semisimple elements
Northeast. Math. J. 21 (2005), no. 3, 283--293
On the primary decomposition theorem of modular Lie superalgebras
Chinese Annals of Mathematics 26(2005), No. 4, 523-536
Description: Something related to Fitting decomposition.
Chen, Liangyun and Meng, Daoji and Ren, Bin
On quasi-toral restricted Lie algebras
DOI: 10.1142/S0252959905000178
Chinese Ann. Math. 26(2005), No. 2, 207-218
MR 2006a:17017
Description: Anisotropic. Some reasonings on Jacobson's conjecture in the finite-dimensional case. Shallow and sloppy. They are unaware about Premet's result.
Availability: quasi-toral.pdf
Chena, J. and Nicholson, W.K. and Zhou, Y.
Group rings in which every element is uniquely the sum of a unit and an idempotent
DOI: 10.1016/j.jalgebra.2006.08.012
Journal of Algebra Volume 306, Issue 2 , 15 December 2006, Pages 453-460
Chen, Xiao-Wu and Petit, Toukaiddine and Van Oystaeyen, Freddy
Note on the cohomology of color Hopf and Lie algebras
J. Algebra 299 (2006), N1, 419-442
Description: Graded cohomology of color Lie algebra is isomorphic to the graded Hochschild cohomology of its universal enveloping algebra. DOI 10.1016/j.jalgebra.2005.11.026
Chen, Xiao-Wu and Silvestrov, Sergei and Van Oysteayen, Fred
Representations and cocycle twists of color Lie algebras
math.RT/0407165
Algebras and Representation Theory, Vol.9, No.6 (2006), 633-650
Description: Including representations of a (color) scheunertization of sl(2).
Chen, Jianlong and Yang, Xiande and Zhou, Yiqiang
When is the 2x2 matrix ring over a commutative local ring strongly clean?
J. Algebra 301 (2006), N1, 280-293
Description: A ring is strongly clean if every element is a sum of an idempotent and a unit which commute.
On Strongly Clean Matrix and Triangular Matrix Rings
DOI: 10.1080/00927870600860791
Communications in Algebra Volume 34, Number 10 / 2006 Pages: 3659 - 3674
Chen, Zhiqi and Zhu, Fuhai
On pseudo-Riemannian Lie algebras: a class of new Lie-admissible algebras
arXiv:0807.0936
Description: Lie algebras with symmetric invariant nondegenerate form with a Lie-admissible structure and other compatability conditions; all such finite-dimensional algebras are solvable.
Chen, Weixing
A question on strongly clean rings
DOI: 10.1080/00927870600550202
Comm. Algebra 34 (2006), N7, 2347-2350
Chen, Xinjia
A new generalization of Chebyshev inequality for random vectors
arXiv:0707.0805
Description: A generalization of Chebyshev inequality between the mean and variance for random vectors in terms of their covariance matrix.
Chen, Yuqun
Grobner-Shirshov Bases for Schreier Extensions of Groups
DOI: 10.1080/00927870701869899
Communications in Algebra, Volume 36, Issue 5 May 2008 , pages 1609 - 1625
Abstract: ... by using the Grobner-Shirshov bases, we give characterizations of the Schreier extensions of groups when the group is presented by generators and relations.
Cheng, Shun-Jen
Representations of central extensions of differentiably simple Lie superalgebras
Comm. Math. Phys. 154(1993), 555-568
Description: Classification of all finite-dimensional irreducible representations of all central extensions of S \tensor L(n), S - simple Lie algebra over p=0, L(n) - Grassman superalgebra in n indetreminates
Availability: hardcopy
Differentiable simple Lie superalgebras and representations of semisimple Lie superalgebras
J. Alg. 173(1995), N1, 1-43
Cheng, Shun-Jen and Kac, Victor G.
A new N=6 superconformal algebra
Comm. Math. Phys. 186 (1997), No.1, 219-231
Zentralblatt: 0906.17020
Availability: 71860219.ps
Generalized Spencer cohomology and filtered deformations of Z-graded Lie superalgebras
Adv. Theor. Math. Phys. 2 (1998), No.5, 1141-1182; Addendum: 8 (2004), N4, 697-709
arXiv:math.RT/9805039
MR 2000d:17025
Zentralblatt: 0988.17014
Availability: hardcopy
Structure of some Z-graded Lie superalgebras of vector fields
Transform. Groups 4 (1999), No.2-3, 219-272; Errata: 9 (2004), N4, 399-400
MR 2001b:17037
Zentralblatt: 0988.17023
Chang, Shun-Jen and Kac, Victor G. and Wakimoto, Minoru
Extensions of conformal modules
q-alg/9709019
Description: Extensions between modules over conformal Virasoro and conformal current.
Cheng, Shun-Jen and Kwon, Jae-Hoon
Howe duality and Kostant homology formula for infinite-dimensional Lie superalgebras
DOI: 10.1093/imrn/rnn085
arXiv:0806.2480
International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn085, 52 pages
Cheng, Shun-Jen and Lam, Ngau
Infinite-dimensional Lie superalgebras and hook Schur functions
Comm. Math. Phys. 238 (2003), no. 1-2, 95--118
Cheng, Shun-Jen and Zhang, R.B.
Analogue of Kostant's u-cohomology formula for the general linear superalgebra
IMRN 2004:1 (2004) 31-53
Abstract: We determine in an explicit form the Lie superalgebra cohomology groups of the upper triangular odd subalgebra ( 𝔤𝔩 𝔪|𝔫) +1 of the general linear superalgebra 𝔤𝔩 𝔪|𝔫 with coefficients in irreducible tensor modules over 𝔤𝔩 𝔪|𝔫. Using this, we develop a Weyl-type character formula for the irreducible tensor representations. Both in the computation of the cohomology groups and in the construction of the character formula, the Weyl group of the infinite-rank affine Kac-Moody algebra of A-type plays an essential role.
Cherkashin, V. P.
Tensor products of Poisson algebras
DOI: 10.1007/BF01209563
Math. Notes 54 (1993), N3, 968-974
Description: Cohomology and deformations in the category of Poisson algebras, double complex.
Availability: 1993-tensor.pdf
Cherlin, Greg
Model Theoretic Algebra. Selected Topics
LNM 521 (1976)
Description: Existentially complete groups and division rings.
Availability: lnm-521/
Cherlin, Gregory and Grundhöfer, Theo and Nesin, Ali and Völklein, Helmut
Sharply Transitive Linear Groups Over Algebraically Closed Fields
Proceedings of the American Mathematical Society, Vol. 111, No. 2. (Feb., 1991), pp. 541-550.
Availability: 1991-sharply.pdf
Cherlin, Gregory L. and Reineke, Joachim
Categoricity and stability of commutative rings
Ann. Math. Logic 9, 367-399 (1976)
Zentralblatt: 0326.02041
Availability: sdarticle.pdf
Cherlin, G. and Rosenstein, J.G.
On alpha_0-categorical abelian by finite groups
J. Alg. 53(1978), 188-226
Description: Section 5: reasonings about lattices of vector spaces and their "booleanization".
Chern, Shing-Shen
From triangles to manifolds
Amer. Math. Mon. 86 (1979), No.5, 339-349
Description: Euler characteristic.
Availability: 0-150.pdf
Chernikov, N.S.
Groups with condition of invariance for infinite, non-abelian subgroups (in Ukrainian)
Dopovidi Akad. Nauk Ukrain. RSR, Ser. A 1970, 512-513
Description: Infinite non-abelian groups all whose infinite non-abelian subgroups are normal.
Infinite groups that are products of nilpotent subgroups
Soviet Math. Dokl. 21 (1980), N3, 701-703
MR 83c:20053
Description: Groups are with minimal condition.
Availability: hardcopy
Some factorization theorems for infinite groups
Dokl. Akad. Nauk SSSR 255 (1980), no. 3, 537--539
Soviet Math. Dokl. 22 (1980), no. 3, 729--731
MR 82g:20056
Zentralblatt: 0471.20019
Groups that decompose into a product of permutable subgroups (in Russian)
Naukova Dumka, Kiev, 1987; 206 pp.
Zentralblatt: 0699.20025
Factorization of linear groups and groups which have a normal system with linear factors
DOI: 10.1007/BF01061311
Ukr. Math. J. 40 (1988), No.3, 311-317
Zentralblatt: 0676.20028
Description: A linear group is locally finite and almost solvable iff it is representedable as the product of two periodic almost locally nilpotent subgroups.
Availability: 1988-factorization.pdf
On groups factorized by two subgroups with Chernikov commutants
Ukr. Math. J. 52 (2000), No.3, 457-463
Ukr. Mat. Zh. 52 (2000), No.3, 396-402
Zentralblatt: 0956.20031
On finite solvable groups decomposable into the product of two nilpotent subgroups
Ukr. Math. J. 52 (2000), No.6, 926-939
Ukr. Mat. Zh. 52 (2000), No.6, 809-819
Zentralblatt: 0956.20012
On periodic locally solvable groups decomposable into the product of two locally nilpotent subgroups
Ukr. Math. J. 52 (2000), N7, 1107-1112
Properties of a finite group representable as the product of two nilpotent groups
Ukr. Math. J. 53 (2001), No.4, 606-619
Ukr. Mat. Zh. 53 (2001), No.4, 531-541
Zentralblatt: 0992.20016
Chernikov, S.N. (=Cernikov)
Groups with given properties for systems of infinite subgroups
Sov. Math. Dokl. 7 (1966), N6, 1565-1568
Description: Including Hamiltionian groups and related.
Availability: hardcopy
Investigation of groups with given properties of the subgroups
Ukr. Math. J. 21 (1969), 160-172
Ukr. Mat. Zh. 21 (1969), 193-209
Zentralblatt: 0217.07803
Description: A survey, starting from Hamiltonian groups.
Groups with condition of invariance for infinite, non-abelian subgroups (in Ukrainian)
Dopovidi Akad. Nauk Ukrain. RSR, Ser. A 1970, 512-513
Zentralblatt: 0205.03503
Description: Infinite non-abelian groups all whose infinite non-abelian subgroups are normal.
Infinite nonabelian groups with invariance condition for infinite nonabelian subgroups
Sov. Math. Dokl. 11 (1970), 1387-1390
Dokl. Akad. Nauk SSSR 194 (1970), 1280-1283
Zentralblatt: 0234.20014
On Shmidt's problem
Ukrain. Mat. Z. 23 (1971), 598-603
Ukr. Math. J. 23 (1972), 493-497
MR 45#5232
Zentralblatt: 0229.20028
Description: A historical survey on nonabelian, infinite groups whose subgroups are all finite.
Groups with restricted subgroups (in Russian)
Groups with Restricted Subgroups, 1971, 17-39
MR 43#4926
Zentralblatt: 0262.20039
Description: A survey, including groups whose infinite nonabelian subgroups are normal.
Infinite nonabelian groups in which all infinite nonabelian subgroups are invariant
Ukr. Math. J. 23 (1972), 498-517
Ukrain. Mat. Z. 23 (1971), 604-628
MR 45#6933
Zentralblatt: 0235.20030
Description: "Invariant" means "normal".
Infinite generalized Hamiltonian groups (in Russian)
Constructive description of groups with given properties of subgroups, Collect. sci. Works, Kiev, 1980, 3-15
Zentralblatt: 0463.20025
Groups with given properties of a system of subgroups
Nauka, 1980 (in Russian)
Zentralblatt: 0486.20020
Availability: photocopy; absent on ozon
Chernikova, N.V. (=Baeva)
Mat. Sb. 399 (1956), 273-
Description: Description of groups G such that for every subgroup A there is a subgroup B such that G = AB, A intersects with B trivially.
Chernoff, P.R. and Marsden, J.E.
Book review of "Lie Algebras and Quantum Mechanics" and "Vector Bundles in Mathematical Physics" by Robert Hermann
BAMS November 1973, 1150-1162
Availability: hardcopy
Chernousov, V.I.
The Hasse principle for groups of type E_8
Dokl. Akad. Nauk SSSR 306 (1989), no.5, 1059-1063
MR 90m:11055
Description: Full decsription of Lie algebras of type E_8 over number fields.
Chevalley, Claude
Algebraic Lie algebras
DOI: 10.2307/1969217
Ann. Math. 48 (1947), N1, 91-100
Description: A Lie algebra is an algebra of certain algebraic group iff its contains a semisimple and nilpotent part of each its element. The latter condition is studied. Refinement of Levi-Malcev decomposition (further decomposition of radical into sum of torus and nilpotent part) for such algebras.
Availability: chevalley.pdf
Théorie des Groupes de Lie, Vol. I-III,
Gos. Izdat. Inostr. Lit., Moscow, 1948, 1958 (Russian translation from Hermann, 1946, 1951, 1955)
Availability: lie-groups-[1-3].djvu; Kolkhoz;
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The Algebraic Theory of Spinors and Clifford Algebras
URL: http://www.justpasha.f2s.com/books/spinors.djvu http://ef12517-2.tu-sofia.bg/Desislav Todorov/Frames/Books/Mathematics/Algebra/
Collected Works, Vol. 2, Springer, 1997
Availability: Kolkhoz
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Classification des Groupes Algebriques Semi-simples
DOI: 10.1007/b137459
Collected Works of Claude Chevalley, Vol. 3, Springer, 2005
Description: Mainly notes from the "Séminaire Chevalley" 1956-1958 annotated by Cartier.
Chevalley, Claude and Eilenberg, Samuel
Cohomology theory of Lie groups and Lie algebras
TAMS 63 (1948), 85-124
Zentralblatt: 0031.24803
Description: - "a unitray trick" to transfer properties of compact semisimple Lie algs over R to semisimple Lie algs over any algebraically closed field - cohomology (with trivial coeffs) of semisimple Lie algebras are computed
Availability: chevalley-eilenberg.pdf; hardcopy
Chevalley, Claude and Schafer, R. D.
The exceptional simple Lie algebras F_4 and E_6
URL: http://links.jstor.org/sici?sici=0027-8424(19500215)36%3A2%3C137%3ATESLAF%3E2.0.CO%3B2-W http://www.pnas.org/cgi/reprint/36/2/137.pdf
Proc. Nat. Acad. Sci. USA 36 (1950), No. 2, 137-141
Chiang, A.C.
Fundamental Methods of Mathematical Economics
3rd ed., McGraw-Hill, 1984; paperback, 788 pp.
Availability: hardcopy (book)
Chibisov, D. M.
An Asymptotic Expansion for a Class of Estimators Containing Maximum Likelihood Estimators
DOI: 10.1137/1118031
Theory of Probability and its Applications Volume 18 Issue 2, Pages 295-303
Chibrikov, E.S.
A right normed basis for free Lie algebras
Doklady Mathematics 71 (2005), No. 1, 26-
Dokl. Akad. Nauk 400 (2005), no. 1, 32--34
A right normed basis for free Lie (super)algebras
Algebra and model theory 5, 28--38, 281, Novosibirsk State Tech. Univ., Novosibirsk, 2005
A right normed basis for free Lie algebras and Lyndon-Shirshov words
DOI: 10.1016/j.jalgebra.2006.03.036
J. Algebra 302 (2006), N2, 593-612
The right-normed basis for a free Lie superalgebra and Lyndon-Shirshov words
DOI: 10.1007/s10469-006-0024-5
Algebra and Logic 45 (2006), N4, 261-276
Childs, L. N.
Mayer-Vietoris sequences and Brauer groups of nonnormal domains
DOI: 10.2307/1997012
Trans. AMS 196 (1974), 51-67
Availability: 0-150.pdf
Chirkov, I.V.
The small index property for algebras
Siberian Math. J. 41 (2000), no. 4, 774--777
MR 2001h:17010
Description: about automorphism properties of free Lie algebras of infinite rank.
Chirkov, I.V. and Shevelin, M.A.
Algebraicheskie endomorphizmy svobodnykh kommutativnykh p-algebr Lie i svobodnykh metabelevykh algebr Lie
Vestnik Omsk. U. 1999, Vyp.2, 20-22
Availability: hardcopy
Determination of endomorphisms of free metabelian Lie algebras
Siberian Math. J. 41(2000), 1205-1207
Ideals of free metabelian Lie algebras, and primitive elements
Siberian Math. J. 42 (2001), no.3, 610-612
MR 2002d:17006
Zero divisors in amalgamated free products of Lie algebras
URL: http://www.kluweronline.com/article.asp?J=5167&I=20&A=17 http://www.emis.ams.org/journals/SMZ/2004/01/229.pdf
Sib. Math. J. 45 (2004), N1, 188-195
Sibirsk. Mat. Zh. 45 (2004), no.1, 229-238
Abstract: We introduce the notion of domain for Lie algebras, discuss when the free amalgamated Lie product of two domains is a domain again, classify commuting elements in the free amalgamated product of two Lie algebras and describe the center of this product.
Chiswell, Ian
Introduction to "An extension theorem for Euler characteristic of groups" by John R. Stallings
Geom. Dedicata 92 (2002), 1-2
Availability: fulltext.pdf; hardcopy
Chiu, Sen (=Sen, Chiu)
The homology of Kac-Moody Lie algebras with coefficients in a generalized Verma module
DOI: 10.1016/0021-8693(84)90194-7
Journal of Algebra Volume 90, Issue 1, September 1984, Pages 10-17
Central extensions and H^1(L,L^*) of the graded Lie algebras of Cartan type
DOI: 10.1016/0021-8693(92)90004-6
J. Alg. 149 (1992), 46-67
Availability: 1992-central.pdf
The cohomology of modular Lie algebras with coefficients in a restricted Verma module
Chin. Ann. Math. Ser. B 14 (1993), No.1, 77-84
Zentralblatt: 0776.17019
Chmutov, Sergei and Duzhin, Sergei
The Kontsevich integral
arXiv:math.GT/0501040
in: Encyclopedia of Mathematical Physics, Elsevier
Cho, Eun-Hee and Oh, Sei-Qwon
Gelfand-Kirillov Dimension of Algebras with a Locally Finite and Multiparameter Indexed Filtration
DOI: 10.1080/00927870802068367
Communications in Algebra, Volume 36, Issue 7 July 2008 , pages 2444 - 2455
Description: Graded algebras associated to algebars filtered by (multiparameter) semigroup. Poisson algebras.
Availability: a794312337.pdf
Choi, Seul Hee
Derivations of a restricted Weyl type algebra on a Laurent extension
Commun. Korean Math. Soc. 21 (2006), no. 2, 227--236
Choi, Seul Hee and Nam, Ki-Bong
Derivations of a restricted Weyl type algebra. I
Rocky Mountain J. Math. 37 (2007), no. 6, 1813--1830
Description: Some obscure generalization of the Witt algebra.
Chomsky, N. and Schutzenberger, M.P.
The algebraic theory of context-free languages
Computer programming and formal systems, Amsterdam, 118-
Kiberneticheskii Sbornik 3(1966), 195-242
Availability: context-free.djvu
Chong, C.T. and Leong, Y.K.
An interview with Jean-Pierre Serre
Mathematical Medley, June 1985
Choquet-Bruhat, Y. and DeWitt-Morette, C. and Dillard-Bleick, M.
Analysis, Manifolds and Physics, Vol. 1, Parts 1,2 and Vol.2
Leninogrosk Pedagogical Inst., 1997 (reprint of the 2-volumes 1987-1989 Elsevier (?) edition); paperback, small format, 628 + 448 pp.
Availability: hardcopy (books); Kolkhoz
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Chow, Timothy
You could have invented spectral sequences
URL: http://www.ams.org/notices/200601/ http://www-math.mit.edu/~tchow/math.html
Notices AMS 53 (2006), N1, 15-19
Description: A lucid 7-page explanation what spectrale sequences are.
Chowdhury, A. Roy
Lie algebraic methods in integrable systems
Chapman & Hill/CRC, 2000, 368 p.
Availability: 85$
Chriss, Neil and Ginzburg, Victor
Representation Theory and Complex Geometry
Birkhäuser, 1997
Availability: Kolkhoz
Christensen, J. Daniel and Hovey, Mark
Quillen model structures for relative homological algebra
math.KT/0011216
Description: Quillen's cohomology theor(ies), model category
Chryssomalakos, C. and Okon, E.
Generalized quantum relativistic kinematics: a stability point of view
hep-th/0410212
Description: Mathematica calculations of deformations of certain low-dimensional Lie algebras.
Chuang, C.L. and Lee, P.H. and Lee, T.C.
Derivations with central values on powers of symmetric elements
J. Alg. 161(1993), 237-244
Description: rings with involutions. commutativity theorem involving derivations and powers and elements.
Availability: cll.pdf
Chun, Jang-Ho and Kajiwara, Takeshi and Lee, Jong-Sook
Isomorphism theorem on low dimensional Lie algebras
Pacific J. Math. 214 (2004), no. 1, 17--21
Abstract: Let $\g$ (resp.\ $\g'$) be a Lie algebra of dimension $d\le 3$ (resp.\ of finite dimension) over a field $k$ of characteristic $\not= 2$. We prove that $\g$ is isomorphic to $\g'$ as Lie algebras over $k$ if and only if the enveloping algebra $U(\g)$ of $\g$ is isomorphic to $U(\g')$ as $k$-algebras.
Chun, Jang-Ho and Lee, Jong Sook
On complete Lie superalgebras
Comm. Korean Math. Soc. 11(1996), 323-334
Chung, K.L.
Green, Brown, and Probability
World Scientific, 1995; paperback, 106 pp.
Availability: hardcopy (book)
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Chung, L.O. and Luh, J.
Derivations of higher order and commutativity of rings
Pacific J.M. 99(1982), 317-326
Chunikhin, S. A. and Shemetkov, L. A.
Finite groups
DOI: 10.1007/BF01083668
J. Math. Sci. 1 (1973), N3, 291-332
Itogi Nauki, Seriya Matematika (Algebra, Topologiya, Geometriya), 1969, 7-70
Description: A VINITI survey. Including factorizable groups and groups with given properties of subbgroups.
Availability: 1973-finite.pdf
Chwe, Byoung-Song
Relative homological algebra and homological dimension of Lie algebras
DOI: 10.2307/1994220
TAMS 117 (1965), 477-493
Availability: 0-150.pdf
On the commutativity of restricted Lie algebras
PAMS 16 (1965), 547
Description: A finite-dimensional Lie p-algebra over algebraically closed field is abelian if p-map has no nontrivial zero.
Availability: comm.pdf
Chwolson, O.D.
Lehrbuch der Physik. Zweiter Band, zweite Abteiling. Die Lehre von der strahlenden Energie
2nd ed., Friedr. Vieweg & Sohn, Braunschweig, 1922; hardcover, 892 pp.
Availability: hardcopy (book)
Ciatti, Paolo
A Clifford algebra approach to simple Lie algebras of real rank two, I: the $A_2$ case
J. Lie Theory 10 (2000), No.1, 53-80
A Clifford algebra approach to real rank one simple Lie algebras.
Geometry and analysis on finite- and infinite-dimensional Lie groupsBanach Center
Publ. 55 (2002), 227--252
A Clifford algebra approach to simple Lie algebras of real rank two, II: The G2 case
Annali di Matematica Pura ed Applicata 181 (2002), N1, 1-23
A Clifford algebra approach to real simple Lie algebras with reduced root system
Math. Z. 242 (2002), N4, 781-797
A Clifford algebra approach to real simple Lie algebras, II: The algebras with root system BC_r
Math. Z. 244 (2003) 1, 35-46
Cibils, Claude
Rigid monomial algebras
DOI: 10.1007/BF01446561
Math. Ann. 289 (1991) 95-109
Hochschild cohomology algebra of radical square zero algebras
Algebras and Modules II (Edited by: Idun Reiten, Sverre O. Smalø, and Øyvind Solberg), CMS Conf. Proc. 24 (1998)
Tensor Hochschild homology and cohomology
URL: http://math.uga.edu/archive/cibils.html http://www.math.univ-montp2.fr/lsprepub/prepub.html
Interaction between ring theory and representations of algebras, LN Pure Appl. Math. (M.Dekker) 210 (2000), 35-51
Abstract: We consider the non commutative setting given by a ring A, an A-bimodule M and T the corresponding tensor algebra. We prove that the Hochschild cohomology of quotients T/I by positive ideals coincides with the homology of A whenever the quiver of M has no oriented cycles. If the quiver is an arrow (i.e. T is a triangular two by two matrix algebra) the Hochschild cohomology belongs to a long exact sequence. For other quivers, a spectral sequence converging to the Hochschild cohomology will be described in a forthcoming paper.
Cibils, Claude and Marcos, E. and Redondo, M.-J. and Solotar, A.
Cohomology of split algebras and of trivial extensions
URL: http://www.math.univ-montp2.fr/~cibils/cmrs.html http://math.uga.edu/archive/cibils-marcos-redondo-solotar.html
Glasgow Math. J. 45 (2003), 21-40
arXiv:math.KT/0102194
Description: Hochschild cohomology of semidirect sum of algebra and ideal in terms of summands.
Cibils, Claude and Solotar, Andrea
Hochschild cohomology algebra of abelian groups
URL: http://www.maths.abdn.ac.uk/~bensondj/html/archive/cibils-solotar.html http://www.math.univ-montp2.fr/lsprepub/prepub.html http://www.springerlink.com/openurl.asp?genre=article&eissn=1420-8938&volume=68&issue=1&spage=17
Arch. Math. 68 (1997), no. 1, 17-21
MR 97k:13018
MR Review: The authors show that for $G$ a finite abelian group, and $k$ any commutative ring, there is a an algebra isomorphism $HH^*(kG,kG)\cong kG\otimes H^*(G,k)$, where $HH^*(\Lambda,M)$ is the Hochschild cohomology algebra of $\Lambda$ with coefficients in the $\Lambda$-bimodule $M$, and $H^*(G,k)\cong HH^*(kG,k)$ is the group cohomology algebra. This result was suggested by the description of the Hochschild cohomology in the case in which $k$ is a field of positive characteristic in the work of T. Holm \ref[Comm. Algebra 24 (1996), no. 6, 1957--1969; MR 97c:13012]. For the case of a non-abelian group $G$, the authors offer a conjectural structure for $HH^*(kG,kG)$ and indicate some evidence for the conjecture that can be derived from the abelian case.
Availability: hardcopy
Cibils, C. and Solotar, A. and Wisbauer, Robert
N-complexes as functors, amplitude cohomology and fusion rules
Commun. Math. Phys.
Description: Complexes with d^N = 0.
Cicalo, Serena and Graaf, Willem de
Non-associative Grobner bases, finitely-presented Lie rings and the Engel condition
DOI: 10.1145/1277548.1277563
ISSAC 2007, 100--107, ACM, New York, 2007
Availability: p100-cicalo.pdf
Ciccoli, Nicola and Guerra, Lucio
The variety of Lie bialgebras
J. Lie Theory 13(2003), No.2, 579-590
Abstract: We define a Lie bialgebra cohomology as the total cohomology of a double complex constructed from a Lie algebra and its dual, we show that its 2-cocycles classify Lie bialgebra formal deformations and we prove the usual cohomological condition (i.\ e. $H^2=0$) for formal rigidity. Lastly we describe the results of explicit computations in low--dimensional cases.
Ciobanu, Camelia and Coltescu, Ion
Large construction for nonsolvable Lie algebras
An. Stiint. Univ. Ovidius Constanta Ser. Mat. 12 (2004), no. 2, 93--98
Clarke, Brian
Decompositions of the tensor products of irreducible sl(2)-modules in characteristic 3
arXiv:0809.3672
Clarke, S P and Cornwell, J F
The matrix theory of automorphisms for twisted affine Kac-Moody algebras A_l^2 (for l >= 2) and D_l^2 (for l>= 3)
DOI: 10.1088/0305-4470/31/48/007
J. Phys. A: Math. Gen. 31 (1998), 9703-9714
Real forms and conjugacy classes of involutive automorphisms of the D(1) affine Kac-Moody algebras
DOI: 10.1088/0305-4470/32/25/308
J. Phys. A: Math. Gen. 32 (1999), 4655-4670
Clavijo M. P. B.
The Lattice of Ideals of a Lie Algebra
DOI: 10.1006/jabr.1995.1015 How to Cite or Link Using DOI (Opens New Window)
Journal of Algebra Volume 171, Issue 2, 15 January 1995, Pages 347-369
Description: Conditions on the lattice of ideals (complemented, distributive, etc.).
Clerc, Jean-Louis
Special prehomogeneous vector spaces associated to F4, E6, E7, E8 and simple Jordan algebras of rank 3
Journal of Algebra Volume 264, Issue 1 , 1 June 2003, Pages 98-128
Description: related to grading in simple Lie algs and symmetric spaces
Clifford, A.H. and Preston, G.B.
The Algebraic Theory of Semigroups, Vol. 1,2
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/1/851.djvu http://orel721.rsl.ru/books_09.06/1/852.djvu
Mir, 1972 (Russian translation from AMS, 1964)
Availability: Kolkhoz; 1972-algebraic-[12].djvu
Cline, Ed and Parshall, Brian J. and Scott, Leonard L.
On the tensor product theorem for algebraic groups
J. Algebra 63 (1980), 264-267
Availability: hardcopy
Detecting rational cohomology of algebraic groups
DOI: 10.1112/jlms/s2-28.2.293
J. Lond. Math. Soc. 28 (1983), 293-300
Zentralblatt: 0521.20025
Description: Probably about relation of modular and rational cohomology.
Availability: 293.pdf
Finite dimensional algebras and highest weight categories
JRAM 391 (1988), 85-99
Description: Categorification of the notion of highest weight modules.
Modular representation of affine Lie algebras
in preparation
Cline, Ed and Parshall, Brian J. and Scott, Leonard L. and Kallen, Wilberd van der
Rational and generic cohomology
Invent. Math. 39 (1977), 143-163
Zentralblatt: 0336.20036
Description: Relations between modular and rational cohomology of algebraic groups.
Availability: pdfconvert.pdf
Clozel, Laurent
On the cohomology of Kottwiz's arithmetic varieties
Preprint
Availability: hardcopy
Cochran, Tim and Harvey, Shelly
Homology and derived series of groups
URL: http://www.maths.warwick.ac.uk/gt/GTVol9/paper49.abs.html http://www.emis.de/journals/GT/ftp/main/2005/2005-49.pdf
Geometry and Topology 9 (2005) Paper no. 49, 2159--2191
arXiv:math.GT/0407203
Description: The work on Stallings on relationship of 1st and 2nd homology and lower central series of group (having a Lie-algebaric counterpart by Knus and Stammbach) has an a analogue for derived series of group. In particular, if for two groups A and B, H^1 and H^2 are "close enough", then A isomorphic B. Some completion construction is involved, which preserves H_1 and injects H_2.
Coffee, Jane Purcell
Filtered and associated graded rings
Bull. Am. Math. Soc. 78, 584-587 (1972)
Zentralblatt: 0262.16028
On the rigidity of graded algebras
Proc. Am. Math. Soc. 76, 219-222 (1979)
Zentralblatt: 0389.16014
Coffi-Nketsia, Barben-Jean and Haddad, Labib
Produit d'entrelacement et action triangulaire d'algèbres de Lie
arXiv:0704.3840
Description: Wreath product of Lie algebras.
Entrelacement d'algèbres de Lie
arXiv:0706.1312
Description: Wreath product of Lie algebras.
Cohen, D.E.
Groups of cohomological dimension one
LNM 245 (1972)
MR 49#9098
Description: Exposition of Stallings-Swan result. more algebraic and streamlined proofs. (particularly, algebraic theory of ends).
Availability: VU; hardcopy (first 2 pages only)
Cohen, A.M. and Graaf, de W.A.
Lie algebraic computation
DOI: 10.1016/0010-4655(96)00021-5
Comput. Phys. Commun. 97 (1996), N1-2, 53-62
Description: Many computations in Lie algebras over p=0 reduced to solving linear equations. Algorithm for finding radical of a Lie algbera (in any characteristic) via nilradical of its associative envelope, which is implemented currently in GAP. The notes at the end about performig computations with Tr not to enlrage dimenion to associative anvelope are not implemented though (as of GAP 4.4.3).
Availability: science.pdf; hardcopy
Cohen, A.M. and de Graaf, W.A. and Ronyai, L.
Computations in finite-dimensional Lie algebras
Discrete Math. Theor. Comp. Sci. 1(1997), 129-138
Availability: dm010109.ps
Cohen, Arjeh M. and Ivanyos, Gabor and Roozemond, Dan A.
Simple Lie Algebras having Extremal Elements
arXiv:0711.4268
Description: p>0. Mainly known results. In p=5, W(1) is an exceptional case.
Cohen, Arjeh M. and Ivanyos, Ga'bor and Wales, David B.
Finding the radical of an algebra of linear transformations
Journal of Pure and Applied Algebra Volumes 117-118 , May 1997, Pages 177-193
Description: A method which implemented in GAP (radical for associative matrix algebras)
Availability: science.pdf
Cohen, Arjeh M. and Steinbach, Anja and Ushirobira, Rosane and Wales, David
Lie algebras generated by extremal elements.
DOI: 10.1006/jabr.2000.8508
arXiv:math.RA/9903077
J. Alg. 236 (2001), 122-154
Description: An extremal element x \in L is such that [[L,x],x] \in Kx.
Availability: hardcopy
Cohen, Arjeh M. and Taylor, D.E.
On a certain Lie algebra defined by a finite group
Amer. Math. Monthly 114 (2007), 633-639
Description: There are numerous constructions relating groups and Lie algebras, and here is another one. Let G be a group. One can easily see that the space spanned by elements of the form g - g^{-1} (g\in G) in the group algebra is closed under the (usual) commutator. The authors describe the structure of the so obtained Lie algebras in the case of finite group and the complex ground field. The answer is both fascinating and not. It is not, as the resulting list is somewhat boring: each such algebra is a direct sum of Lie algebras from the series gl, o, and sp. It is, since the direct sum is parametrized by characters (real, symplectic, and complex) of the group. But perhaps this is not so surprising after all, as the structure of the (usual associative) group algebra immediately suggests connection with matrix algebras and irreducible group representations. One may wonder what could happen for not necessarily finite groups and ground fields of positive characteric. Perhaps one can apply more pedestrian computational approach not utilizing the elegant connection with group characters (say, absence/presence of nilpotent elements of order 2). This construction (albeit in a somewhat different context) was already presented in A.E. Zalesskii & M.B. Smirnov, Lie algebra associated with linear group, Comm. Algebra 9 (1981), 2075-2100.
Availability: hardcopy (journal)
Cohn, Paul Moritz
Sur le critere de Friedrichs pour les commutateurs dans une algebre associative libre
CRAS 1954, 743-745
Availability: hardcopy
On the embeddings of rings in skew fields. III
DOI: 10.1112/plms/s3-11.1.511
PLMS 11 (1961), 511-530
Description: Associated graded rings; Lie algebras with given 2-cocycle and "twisted" analogue of universal enveloping algebra. Universal enveloping algebras possess field of quotients.
Availability: 511.pdf
On subsemigroups of free semigroups
DOI: 10.2307/2034935
PAMS 13 (1962), No.3, 347-351
Description: Criteria for a subsemigroup of a free semigroup to be free.
Subalgebras of free associative algebras
Proc. London Math. Soc. 14 (1964), 618-632
MR 29:4777
Universal Algebra
Mir, 1968 (Russian translation from Harper & Row, 1965); hardcover, 351 pp.
Availability: hardcopy (book); Kolkhoz
