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Haas, F.
Jacobi structures in R^3
J. Math. Phys. 46 (2005), N10, 102703
Description: Jacobi brackets are "almost" Poisson brackets with a difference that [fg,h] = f[g,h] + [f,h]g - fg[1,h]. Geometrical considerations.
Availability: JMathPhys_46_102703.ps
Haddi, Aziz
Determination des extensions centrales des algebres de Kac-Moody
CRAS 306 (1988), 691-694
Zentralblatt: 0683.17008
Homologie des algèbres de Lie étendues à une algèbre commutative
DOI: 10.1080/00927879208824396
Comm. Algebra 20 (1992), no.4, 1145-1166
MR 93b:17063
Zentralblatt: 0758.17013
Availability: hardcopy
Les algèbres de Kac-Moody et l'homologie dièdrale
Non-associative Algebra and Its Applications (Oviedo, 1993), Kluwer, 1994, 176-178
none
Zentralblatt: 0823.17028
Homologie de degre trois des algebres de Lie etendues par une algebre commutative
CRAS 321 (1995), 965-968
MR 96g:17024
Zentralblatt: 0846.17024
Description: Partial results: p=0, perfect Lie algebra L, cohomology invariant under L-action.
Availability: hardcopy
Haddi, A. and Hadj Nassar, S.
Produit tensoriel tressé et algèbre de Lie dans une catégorie tressée
Beiträge Algebra Geom. 40 (1999), no. 2, 417--436
MR 2000i:18011
Zentralblatt: 0958.18004
Hadfield, Tom
Twisted cyclic cohomology of the quantum SU(2)
arXiv:math.QA/0403201
Description: Twisted (by an automorphism) Hochschild and cyclic cohomology.
Hadfield, Tom and Kraehmer, Ulrich
Twisted homology of quantum SL(2) - Part II
arXiv:0711.4102
Description: Using computer algebra system FELIX. Cap and cup products in Hochschuld and cyclic (co)homology.
Hahn, L.-S. and Epstein, B.
Classical Complex Analysis
Jones and Bartlett Publ., 1996; hardcover, 411 pp.
Availability: hardcopy
Hahn, A.J. and James, D.G. and Weisfeiler, B.
Homomorphisms of algebraic and classical groups: a survey
Canadian Math. Soc. Conf. Proc. 4 (1984), 249-296
MR 87b:20056
Availability: homomorphisms/ (few pages only)
google books
Hailat, M.Q.
Rank 2 red rootsystems over fields of low characteristics
Algebras Groups Geom. 24 (2007), No. 4, 455-484
Zentralblatt: pre05300223 (me)
Availability: hardcopy
Haile, D. and Lady, G. and Maybee, J. and Quirk, J.
Nonparametric Comparative Statics and Stability
Princeton Univ. Press, 1999; hardcover with dustjacket, 242 pp.
Description: Matrix analysis applied to economics.
Availability: hardcopy (book); absent on amazon
Haile, Darrell E. and Morandi, Patrick J.
HYPERBOLICITY OF ALGEBRAS WITH INVOLUTION AND CONNECTIONS WITH CLIFFORD ALGEBRAS
Communications in Algebra, Volume 29 , Issue 12 (2003), 5733 - 5753
Availability: 100107956.pdf
Hajac, P.M. and Khalkhali, M. and Rangipour, B. and Sommerhaeuser, Y.
Hopf-cyclic homology and cohomology with coefficients
math.KT/0306288
Abstract: Following the idea of an invariant differential complex, we construct general-type cyclic modules that provide the common denominator of known cyclic theories.
Hall, Brian C.
Lie Groups, Lie Algebras, and Representations. An Elementary Introduction.
GTM222, Springer, 2004
Description: sl(3) is treated thoroughly.
Availability: Kolkhoz; 2004-lie.djvu; google books
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Hall, J.I.
Notes on composition algebras
Preprint, 2000
Description: Around the 1-2-4-8 theme.
Availability: composition-11-10-00.dvi
Hall, Marshall
The Theory of Groups
Izdat. Inostr. Lit., Moscow, 1962 (Russian translation from Macmillan Company, 1959)
AMS/Chelsea
Availability: Kolkhoz (Russian edition); amazon
Hall, P.
The Eulerian function of a group
Quart. J. Math. 7 (1936), 134-151
Description: Number of generators of the finite direct product of various finite groups.
Hallahan, Charles B.
Stability theorems for Lie algebras of derivations
Pacific J. Math. 32 (1970), N1, 105-112
Description: p=0. In terms of Levi decomposition.
Hallgrimsdottir, Ingileif B. and Sturmfels, Bernd
Resultants in genetic linkage analysis
q-bio.QM/0405001
Description: Penetrance parameters of models. Algebraic invariants of models arising as polynomials.
Availability: hardcopy
Hallgrimsdottir, Ingileif B. and Yuster, Debbie S.
A complete classification of epistatic two-locus models
DOI: 10.1186/1471-2156-9-17
q-bio.QM/0612044
BMC Genetics 2008, 9:17
Description: Strange.
Halmos, Paul R.
Commutators of operators. II
AJM 76 (1954), 191-198
MR 15:568d
Description: A sum of commutators of bounded operators on a separable infinite-dimensional Hilbert space is the sum of two commutators.
The basic concepts of algebraic logic
DOI: 10.2307/2309396
Amer. Math. Mon. 63 (1956), 363-387
Zentralblatt: 0070.24506
Availability: 1956-basic.pdf
Finite-Dimensional Vector Spaces
URL: http://techlibrary.ru/books.htm http://www.springer.com/math/book/978-0-387-90093-3
2nd ed., Van Nostrand, 1958; hardcover, 199 pp.
Availability: hardcopy (book); Kolkhoz
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Naive Set Theory
Van Nostrand, 1960; hardcover, 104 pp.
Availability: hardcopy (book)
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Algebraic Logic
AMS, 1962
Description: Collection of Halmos' papers on the topic.
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Hilbertovo prostranstvo v zadachakh
URL: http://techlibrary.ru/books.htm http://www.eknigu.com/info/M_Mathematics/MC_Calculus/MCf_Functional%20analysis
Novokuzneckii Fiz.-Mat. Inst., 2000 (Russian translation from "A Hilbert Space Problem Book", 1967); paperback, small format, 352 pp.
Availability: hardcopy (book); Kolkhoz
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Lectures on Ergodic Theory
Regular & Chaotic Dynamics, 1999 (Russian translation from English); paperback, 136 pp.
Availability: hardcopy (book)
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Positive approximants of operators
Indiana Univ. Math. J. 21 (1972), No.10, 951-960
Description: A problem of best approximation of given matrix by positive-semidefinite one.
Availability: 21076.pdf; hardcopy
Shifts on Hilbert space
pp. 102-112
Description: Properties of shifts.
Availability: PPN243919689_0208__0_0.pdf
How to write mathematics
Halmos, Paul and Givant, Steven
Logic as Algebra
MAA, 1998, 152 pp.
Zentralblatt: 1053.03001
Review: Math. Magazine 71(1998), N2, back inside cover
Description: Last chapter: algebraic treatment of the theory of syllogisms.
Availability: logic-as-algebra.djvu
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Halter-Koch, Franz
Darstellung naturlicher Zahlen als Summe von Quadraten
Acta Arithm. XLII(1982), 11-20
Availability: hardcopy; aa4212.pdf
Halverson, Tom and Ram, Arun
Partition algebras
math.RT/0401314
Description: Representation of symmetric and fuill linear groups are involved. On pp. 13 and 22 appear a "Young lattices" which are diagrams of Young diagrams similar to mine appearing in cohomology of current algebras. Various mappings on tensor power spaces.
Hamaguchi, Naoki
Differentially simple rings
Proceedings of the 31st Symposium on Ring Theory and Representation Theory and Japan-Korea Ring Theory and Representation Theory Seminar (Osaka, 1998), 18--22, Shinshu Univ., Matsumoto, 1999.
none
Generalized d-derivations of rings without unit elements
Scientiae Mathematicae Japonicae 54 (2001), No. 2, 337-342
Zentralblatt: 1004.16034
Hamel, Ray O.
Idempotents in group algebras and exceptional characters
DOI: 10.1016/0021-8693(70)90079-7
Journal of Algebra Volume 15, Issue 2 , June 1970, Pages 283-292
Availability: sdarticle.pdf
Hamelink, Ronald C.
Lie Algebras of Characteristic 2
Transactions of the American Mathematical Society, Vol. 144. (Oct., 1969), pp. 217-233
Availability: 0-150.pdf
Hamilton, Alastair
A super-analogue of Kontsevich's theorem on graph homology
math.QA/0510390
Lett. Math. Phys. 76 (2006), no. 1, 37--55
Abstract: In this paper we will prove a super-analogue of a well-known result by Kontsevich which states that the homology of a certain complex which is generated by isomorphism classes of oriented graphs can be calculated as the Lie algebra homology of an infinite-dimensional Lie algebra of symplectic vector fields.
Hamilton, Alastair and Lazarev, Andrey
Homotopy algebras and noncommutative geometry
arXiv:math.QA/0410621
Description: Cohomology theory for A_\infty, C_\infty and L_\infty algebras (including Hochschild and cyclic cohomology).
Characteristic classes of A-infinity algebras
arXiv:math.QA/0608395
Description: Along the way we re-prove Kontsevich's theorem relating graph homology to the homology of certain infinite-dimensional Lie algebras.
Graph cohomology classes in the Batalin-Vilkovisky formalism
Preprint MPI Bonn
Description: Kontsevich's graph cohomology.
Hammoudi, Lakhdar
Burnside and Kurosh problems
DOI: 10.1142/S0218196704001694
Int. J. Algebra Comput. 14 (2004), no.2, 197-211
Availability: hardcopy
Han, Yang and Jiang, Wenfeng and Xu, Yunge
Hochschild (co)homology of exterior algebras
FDLIST Prperint 2005-04-18
Han, Yang and Zhao, Deke
Superspecies and their representations
arXiv:0710.2147
Description: Finite-dimensioanl associative superalgebras, including Wedderburn structure theorem.
Han, Gang
Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants
DOI: 10.1016/j.jalgebra.2007.06.038
J. Algebra 319 (2008), N4, 1809-1821
Description: Relationship of cohomology of reductive Lie algebras and its reductive subalgebra.
Han, Yang
Hochschild (co)homology dimension
arXiv:math.RA/0408402
J. London Math. Soc. 73 (2006), 657-668
Description: Formula for Hochschild (co)homology of monomial algebras resembling those of group algebras.
Availability: hardcopy
Handel, D.
On subspaces of tensor products containing no elements of rank one
DOI: 10.1016/0021-8693(70)90099-2
J. of Algebra 14 (1970), 523527
Description: Each such maximal sbspaces has a basis consiting of elements of rank 2 and 3.
Availability: 1970-subspaces.pdf
Hanlon, Phil
Cyclic homology and the Macdonald conjectures
Invent. Math. 86 (1986), N1, 131-159
MR 88b:17019
Description: Conjectures about homology g \tensor C[t]/(t^k) (g - simple) and results for sl(C[t]/(t^k)).
Availability: macdonald.pdf; hardcopy
On the complete GL(n,C)-decomposition of the stable cohomology of gl_n(A)
DOI: 10.2307/2000959
Trans. Amer. Math. Soc. 308 (1988), no.1, 209-225
MR 90k:17040
Zentralblatt: 0659.17011
Availability: 1988-complete.pdf
Some conjectures and results concerning the homology of nilpotent Lie algebras
Adv. Math. 84 (1990), 91-134
MR 92a:17030
Description: Conjecture about homology of g \tensor C[t]/(t^k) for g classical and proof for the case g=sl(n).
Availability: hardcopy
A survey of combinatorial problems in Lie algebra homology
Formal Power Series and Algebraic Combinatorics (ed. L.J. Billera et al.), AMS, 1996
Hanlon, Phil and Wachs, Michelle L.
On the property M conjecture for the Heisenberg Lie algebra
J. Combinatorial Theory Ser. A 99 (2002), N2, 219-231
Description: Cohomology of tensor product of Heisenberg Lie algebra with C[t]/(t^k).
Hanlon, Phil and Wales, David B.
On the homology of sl_n(tC[t]) and a theorem of Stembridge
DOI: 10.1016/S0021-8693(02)00553-7
J. Algebra 269 (2003), N1, 1-17
Description: Using (and partially reproving) earlier result of Garland-Lepowsky.
Availability: 2003-homology.pdf; hardcopy
Hanna, L. A.-M.
Lie superalgebra structures from gradings of matrix algebras
Int. J. Appl. Math. 18 (2005), no. 4, 463--468
Zentralblatt: pre05239022
Hannabuss, K.C.
An obstruction to generalizing superalgebras
J. Phys. A 20(1987), L1135-L1138
Zentralblatt: 0637.17001
Description: Seems to be a rediscovery of the Scheunert trick.
A quantum Witt construction
J. Algebra 205(1998), N1, 141-167
Description: Construct a new quantum double, in a manner analogous to a certain Witt construction of simple Lie algebras.
Availability: science.pdf
Hannan, E.J.
Group representations and applied probability
DOI: 10.2307/3211873
J. Appl. Probab. 2 (1965), No.1, 1-68
Availability: group-repr-probab-theory.djvu (Russian translation); printout (first 29 pages only); absent on amazon
Hansoul, Sarah and Lecomte, Pierre B. A.
Affine representations of Lie algebras and geometric interpretation in the case of smooth manifolds
math.DG/0307261, 22 pages
IMRN 16(2005), 981-1003
Zentralblatt: (me)
Availability: hardcopy
Happel, D.
Hochschild cohomology of finite-dimensional algebras
Lecture Notes in Mathematics, vol. 1404, Springer-Verlag, 1989, pp. 108-126
Description: Presumably Hochschild cohomology of one-dimensional extensions (analogue of Dixmier result for associative algebras?)
Hardy, G. H.
On the representation of a number as the sum of any number of squares, and in particular of five or seven
Proc. Nat. Acad. Sci. USA. 4 (1918), 189-193
Availability: hardcopy
On the representation of a number as the sum of any number of squares, and in particular of five
Trans. Amer. Math. Soc. 21 (1920), No.3, 255-284
Availability: 9.pdf
Ramanujan. Twelwe Lectures on Subjects Suggested by His Life and Work
Inst. Comput. Issled, Moscow, 2002 (Russian translation from Cambridge Univ. Press, 1940)
Availability: Kolkhoz
A Mathematician's Apology
URL: http://www.math.ualberta.ca/~mss/misc/ http://techlibrary.ru/books.htm
Cambridge Univ. Press, 1993; paperback.
Availability: hardcopy (book); Kolkhoz' obmennik
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Hardy, G.H. and Littlewood, J.R. and Polya, G.
Inequalities
Gos. Izdat. Inostr. Lit., Moscow, 1948
English original, 1934
Availability: Hardy[12].djv (Russian edition); Russian edition - Kolkhoz, English edition - Kolkhoz' obmennik
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Hardy, G. H. and Ramanujan, S.
Asymptotic formulae in combinatory analysis
Proc. Lond. M. S. 17(1918), 75-115
Collected Papers of S. Ramanujan, Chelsea, 1962
Hardy, Collected Papers, Oxford, 1966, 355-
Jahrbuch: 46.0198.04
Availability: 1918-asymptotic.pdf; hardcopy (low quality)
Harima, T. and Migliore, J. and Nagel, U. and Watanabe, J.
The Weak and Strong Lefschetz Properties for Artinian K-Algebras
math.AG/0208201
To appear in J. Algebra
Description: Let A = bigoplus_{i >= 0} A_i be a standard graded Artinian K-algebra, where char K = 0. Then A has the Weak Lefschetz property if there is an element ell of degree 1 such that the multiplication times ell : A_i --> A_{i+1} has maximal rank, for every i, and A has the Strong Lefschetz property if times ell^d : A_i --> A_{i+d} has maximal rank for every i and d. The main results obtained in this paper are the following. 1) EVERY height three complete intersection has the Weak Lefschetz property. (Our method, surprisingly, uses rank two vector bundles on P^2 and the Grauert-Mulich theorem.) 2) We give a complete characterization (including a concrete construction) of the Hilbert functions that can occur for K-algebras with the Weak or Strong Lefschetz property (and the characterization is the same one). 3) We give a sharp bound on the graded Betti numbers (achieved by our construction) of Artinian K-algebras with the Weak or Strong Lefschetz property and fixed Hilbert function. This bound is again the same for both properties. Some Hilbert functions in fact FORCE the algebra to have the maximal Betti numbers. 4) EVERY Artinian ideal in K[x,y] possesses the Strong Lefschetz property. This is false in higher codimension.
Harish-Chandra
Faithful representations of Lie algebras
Ann. Math. 50(1949), 68-76
Zentralblatt: 00032.25201
Description: Another proof of Ado's theorm. Apparently the simplified version of this proof is given in Jacobson's "Lie Algebras".
Availability: 1949-faithful.pdf
Harizanov, Valentina and Mijajlovic, Zarko
Regular relations and the quantifier 'there exists uncountably many'
Zeitschrift fu"r Mathematische Logik und Grundlagen der Mathematik 29(1983), 151-161
MR 85d:03078
Zentralblatt: 0519.03029
Availability: hardcopy
de la Harpe, P.
Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space
DOI: 10.1007/BFb0071306
LNM 285 (1972)
MR 476820
Zentralblatt: 0256.22015
Availability: amazon; lnm-285/; Kolkhoz
Free groups in linear groups
Enseign. Math. 29 (1983), 129-144
Zentralblatt: 0517.20024
Availability: de-la-harpe.pdf
Topics in Geometric Group Theory
The Univ. of Chicago Press, 2000; paperback, 334 pp.
Availability: hardcopy (book); google books
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de la Harpe, Pierre and Skandalis, G.
Produits finis de commutateurs dans les C^*-algebres
Ann. Inst. Fourier 34(1984), No.4, 169-202
Zentralblatt: 0536.46044
Harper, Laurence R.
On differentiably simple algebras
DOI: 10.2307/1993354
Trans. Am. Math. Soc. 100 (1961), 63-72
Zentralblatt: 0099.02203
Description: A differentiably simple associative commutative algebra over an algebraically closed field, is a truncated polynomial algebra (predecessor of Block's result).
Harris, Bruno
Commutators in division rings
Proc. Amer. Math. Soc. 9 (1958), 628-630
Description: An example of division ring with [D,D]=D (of course, D is infinite-dimensional over its center). Moreover, each element in D is a commutator.
Availability: 0-150.pdf
Derivations of Jordan algebras
Pacific J. Math. 9 (1959), 495-512
MR 0124365
Zentralblatt: 0088.03302
Description: Derivations expressed as a first cohomology.
Cohomology of Lie triple systems and Lie algebras with involution
DOI: 10.2307/1993515
Trans. Amer. Math. Soc. 98 (1961), 148-162
Harrison, D.K.
Commutative algebras and cohomology
DOI: 10.2307/1993575
Trans. Amer. Math. Soc. 104 (1962), 191--204
Availability: 0.pdf; hardcopy
Harrison, John
A Short Survey of Automated Reasoning A Short Survey of Automated Reasoning
DOI: 10.1007/978-3-540-73433-8_24
Lecture Notes in Computer Science Volume 4545/2007 (Algebraic Biology) Pages 334-349
Availability: 2007-short.pdf
Hart, R.
A note on the tensor product of algebras
J. Alg. 21(1972), 422-427
Description: Properties of a tensor product of algebra with the first Weyl algebra and its quotient division ring.
Availability: tensor.pdf
Hartenstein, Margaret A. and Solomon, Ronald M.
Finite groups of chain difference one
J. Algebra Volume 229(2000), N2, 601-622
Description: Finite groups, whose lengths of any two unrefinable subgroup chains differ by at most one.
Availability: science-2.pdf
Hartl, Manfred
Structures polynomiales en theorie des groupes nilpotents
IRMA Preprint, 1999
Description: For nilpotent groups, a notion of polynomial cohomology is introduced, which approximate the ordinary cohomology.
Hartl, Manfred and Leroy, S\'ebastien
On the second cohomology of semidirect products
arXiv:0707.0291
Description: Of groups.
Hartley, H. O. and Rao, J. N. K.
Maximum-Likelihood Estimation for the Mixed Analysis of Variance Model
DOI: 10.2307/2333854
Biometrika, Vol. 54, No. 1/2 (Jun., 1967), pp. 93-108
Description: Estimation of covariance matrix.
Availability: 1967-maximum.pdf
Hartshorne, R.
Algebraic Geometry
Springer, 1977; hardcover, 496 pp.
MR 57#3116
Description: Exactness of inverse limit.
Availability: hardcopy (book); Kolklhoz
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Hartwig, Jonas and Larsson, Daniel and Silvestrov, Sergei
Deformations of Lie algebras using \sigma-derivations
DOI: 10.1016/j.jalgebra.2005.07.036
arXiv:math.QA/0408064
J. Algebra 295 (2006), N2, 314-361
Description: q-deformations of Witt and Virasoro.
Hartwig, Brian and Terwilliger, Paul
The Tetrahedron algebra, the Onsager algebra, and the loop algebra
DOI: 10.1016/j.jalgebra.2006.09.011
J. Algebra 308 (2007), N2, 840-863
Description: Presentation and related constructions of certain loop algebras over sl(2).
Harville, David A.
Maximum likelihood approaches to variance component estimation and to related problems
DOI: 10.2307/2286796
J. Amer. Stat. Assoc. 72 (1977), No. 358, 320-338
Availability: 1977-maximum.pdf
Matrix Algebra From a Statistician's Perspective
DOI: 10.1007/b98818
Spinger, 1997
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Matrix Algebra: Exercises and Solutions
Springer, 2001
Description: Companion to the previous book.
Availability: Kolkhoz' obmennik; 2001-matrix.djvu
Hatcher, A.
Spectral Sequences in Algebraic Topology
Availability: absent on amazon
Haupt, R.L. and Haupt, S.E.
Practical Genetic Algorithms
2nd ed., Wiley-Interscience, 2004
Availability: 2004-practical.pdf
Hauser, W. and Burau, W.
Integrale algebraischer Funktionen und ebene algebraische Kurven
VEB Deutscher Verlag der Wissenschaften, Berlin, 1958; hardcover, 103 pp.
Availability: hardcopy (book); absent on amazon
Havas, George and Holt, Derek F. and Rees, Sarah
Recognizing badly presented Z-modules
math.GR/9406205
Availability: hardcopy
Havil, J.
Gamma: Exploring Euler's Constant
Princeton Univ. Press, 2003; hardcover with dustjacket, 266 pp.
Availability: hardcopy (book)
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Havlicek, M. and Patera, J. and Pelantova, E.
On the fine gradings of simple classical Lie algebras
DOI: 10.1142/S0217751X97000268
Int. J. Mod. Phys. A 12 (1997), 189-194
Description: In particular of low-dimensional algebras.
On the fine gradings of sl(3,C)
Russian J. Nucl. Phys. 61 (1998)
On Lie gradings II
DOI: 10.1016/S0024-3795(97)10039-8
Lin. Alg. Appl. 277 (1998), 97-125
Description: "Fine" gradings of gl(n) over C. Classical simple Lie algebras over C.
Availability: hardcopy
On Lie gradings III. Gradings of the real forms of classical Lie algebras
Linear Algebra Appl. 323 (2000), 1-47
Havlicek, M. and Patera, J. and Pelantova, E. and Tolar, J.
Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices
DOI: 10.1063/1.1430046
J. Math. Phys. 43 (2002), 1083-1094
arXiv:math-ph/0311015
The fine gradings of sl(3,C) and their symmetries
arXiv:math-ph/0411037
Hawkins, Thomas
Wilhelm Killing and the structure of Lie algebras
DOI: 10.1007/BF00348350
Arch. Hist. Exact Sci. 26 (1982), N2, 127-192
Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics, 1869-1926
DOI: 10.2307/2695575
Springer, 2000
Review: Notices AMS, June/July 2003, 668- (highly thorough and interesting) Amer. Math. Monthly 108 (2001), No.9, 879-883 by Borel
Hayami, Takao
Hochschild cohomology ring of the integral group ring of the generalized quaternion group
SUT J. Math. 38 (2002), No.1, 83-126
Zentralblatt: 1062.16014
Availability: hayami.pdf
Hochschild cohomology ring of the mod-2 group ring of the generalized quaternion group
DOI: 10.1080/00927870600875914
Comm. Algebra 34 (2006), N11, 3985-4005
Availability: m3mj706035061681.pdf
Hochschild Cohomology Ring of an Order of a Simple Component of the Rational Group Ring of the Generalized Quaternion Group
DOI: 10.1080/00927870802070330
Communications in Algebra, Volume 36, Issue 7 July 2008 , pages 2785 - 2803
Hayami, Takao and Sanada, Katsunori
Cohomology ring of the generalized quaternion group with coefficients in an order
Commun. Algebra 30 (2002), No.8, 3611-3628
Zentralblatt: 1054.20034
Hayashi, I.
Embedding and existence theorems of infinite Lie algebras
J. Math. Soc. Japan 22(1970), 1-14
Availability: hardcopy
Haynsworth, Emilie V.
Reduction of a matrix using properties of the schur complement
DOI: 10.1016/0024-3795(70)90025-X
Linear Algebra and its Applications Volume 3, Issue 1, January 1970, Pages 23-29
Availability: 1970-reduction.pdf
Hazewinkel, Michiel
A duality theorem for the cohomology of Lie algebras
DOI: 10.1070/SM1970v012n04ABEH000942
Math. USSR Sb. 12 (1970), 638-644
MR 43#2032
Zentralblatt: 0222.18019
Description: For a n-dimensional Lie algebra L and L-module M, H^s(L, M^t^*) = H^{n-s}(L,M)^* where M^t is certain "twisting b trace".
Availability: hardcopy
Pervasiveness of Hopf algebras
arXiv:math.QA/0411536
Description: A bibliographical study of Hopf algebras occurencies in Zentralblatt.
Hazewinkel, Michiel and Gubareni, Nadiya and Kirichenko, V.V.
Algebras, Rings and Modules. Vol. 1,2
Springer, 2004, 2007
Availability: Kolkhoz
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Hazewinkel, M. and Hesselink, W. and Siersma, D. and Veldkamp, F.D.
The ubiquity of Coxeter-Dynkin diagrams (an introduction to the A-D-E problem
Nieuw Arch. Wiskd., III. Ser. 25, 257-307 (1977)
Zentralblatt: 0377.20037
Heatherly, Henry
A Characterization of Infinite Dimension for Vector Spaces
Mathematics Magazine, Vol. 61, No. 4 (Oct., 1988), pp. 239-242
Description: A vector space of p=0 is infinite-dimensional iff there are linear transformations A, B such that [A,B]=1.
Availability: 1988-characterization.pdf
Heaton, Robert
Polynomial 3-cocycles over a field of characteristic p
URL: http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.dmj/1077468481 http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.dmj/1077468783
Duke Math. J. 26(1959), 269-275; Errata: 26(1959), No.4, 707
MR 25#3075
Zentralblatt: 0084.26803
Availability: 1077468481.pdf; errata.pdf
A note on polynomial cocycles
Math. Z. 76(1961), 235-239
Availability: contentserver.pdf
Heaton, Robert and Whaples, G.
Polynomial cocycles
Duke Math. J. 25(1958), 691-696
MR 0154907
Zentralblatt: 0088.03503
Availability: 1077468201.pdf
Hebert, Michel
On the commutativity of ultraproducts with direct products
DOI: 10.2307/2048461
Proc. AMS 113 (1991), No.1, 213-216
Availability: 1991-commutativity.pdf; hardcopy
Hedayat, A.S. and Sloane, N.J.A. and Stufken, John
Orthogonal Arrays. Theory and Applications
Springer, 1999
Description: Latin squares, applications to statistics.
Availability: Kolkhoz
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Hegazi, A.
Classification of nilpotent Lie superalgebras of dimension five.
DOI: 10.1023/A:1026663115571
Int. J. Theoret. Phys. 38 (1999), 2681--2693
A classification of nilpotent Lie superalgebras of dimension five
J. Egyptian Math. Soc. 8 (2000), no. 1, 9--17
Hegerfeldt, G. C.
Some properties of a class of generalized Inonü-Wigner contractions
DOI: 10.1007/BF02902188
Il Nuovo Cimento A Volume 51, Number 2 / September, 1967 Pages 439-447
Description: Contractions to Lie algebras to the direct sums S + A, where S is subalgebra.
Availability: 1967-some.pdf
Heintze, Ernst
Toward symmetric spaces of affine Kac-Moody type
DOI: 10.1142/S0219887806001648
Int. J. Geom. Methods Modern Phys. 3 (2006), N5-6, 881-898
Availability: S0219887806001648.pdf
Real forms and finite order automorphisms of affine Kac-Moody algebras - an outline of a new approach
arXiv:0712.2320
Heisenberg, W.
Physics and Philosophy
Harper & Row, 1962; paperback.
Availability: hardcopy (book)
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Held, D.
On abelian subgroups of infinite 2-groups
Acta Sci. Math. Szeged 27(1966), 97-98
Description: every infinite 2-group contains infinite abelian subgroup.
Helgason, S.
Differential Geometry, Lie Groups, and Symmetric Spaces
Academic Press, 1978; hardcover, 628 pp.
Availability: hardcopy (book); Kolkhoz
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Helland, Inge S.
Extended statisical modelling under symmetry; the link toward quantum mechanics
arXiv:quant-ph/0503214
Description: Symmetry group actions on model's parameter space.
Heller, Alex
On stochastic processes derived from Markov chains
URL: http://projecteuclid.org/euclid.aoms/1177700000 http://links.jstor.org/sici?sici=0003-4851%28196508%2936%3A4%3C1286%3AOSPDFM%3E2%2E0%2ECO%3B2-V
Ann. Math. Statist. 36 (1965), N4, 1286-1291
Description: To any stochastic process, and in particular, to every Markov chain, a certain module (in algebraic sense) is associated. Properties of Markov chains in terms of this module.
Hellstr\"om, Lars
A Generic Framework for Diamond Lemmas
arXiv:0712.1142
Hellstrom, Lars and Silvestrov, Sergei D
Commuting Elements in q-Deformed Heisenberg Algebras
World Scientific, 2000
Abstract: This is a very elementary and full of detail book, which some beginners in the theory of quantum deformations can find interesting and useful to dip into for calculations or to learn about the Diamond Lemma, gradation or q-calculus.
Availability: 50$ (sale)
Helme-Guizon, Laure and Rong, Yongwu
A Categorification for the Chromatic Polynomial
math.CO/0412264
Abstract: For each graph we construct a chain complex whose graded Euler characteristic is the chromatic polynomial of the graph.
Henkin, Leon
Mathematical Foundations for Mathematics
DOI: 10.2307/2317752
The American Mathematical Monthly, Vol. 78, No. 5 (May, 1971), pp. 463-487
Description: Interesting.
Availability: 1971-mathematical.pdf
Hennessy, David A. and Lapan, Harvey E.
An algebraic theory of portfolio allocation
Economic Theory 22 (2003), N1, 193-210
Abstract: Using group and majorization theory, we explore what can be established about allocation of funds among assets when asymmetries in the returns vector are carefully controlled. The key insight is that preferences over allocations can be partially ordered via majorized convex hulls that have been generated by a permutation group. Group transitivity suffices to ensure complete portfolio diversification. Point-wise stabilizer subgroups admit sectoral separability in fund allocations. We also bound the admissible allocation vector by a set of linear constraints the coefficients of which are determined by group operations on location and scale asymmetries in the rate of returns vector. For a distribution that is symmetric under a reflection group, the linear constraints may be further strengthened whenever there exists an hyperplane that separates convex sets.
Hentzel, Irvin Roy and Jacobs, David Pokrass (=David J. Pokrass)
Verification of non-identities in algebras
DOI: 10.1007/3-540-51084-2_48
Lecture Notes in Computer Science Volume 358/1989 Symbolic and Algebraic Computation Pages 496-507
Description: An algorithm.
A dynamic programming method for building free algebras
Comput. Math. Appl. 22 (1991), No.12, 61-66
Zentralblatt: 0753.17001
Zbl Review: We are interested in deciding if a given nonassociative polynomial h is an identity for a variety of nonassociative algebras. We present an algorithm for constructing a certain homomorphic image of a free nonassociative algebra which is sufficient to answer the question. The algorithm resembles dynamic programming in that the algebra is built by constructing a sequence of subspaces; the basis of each subspace is determined by the basis of previous subspaces...
Hentzel, Irvin Roy and Piacentini Cattaneo, Giulia Maria
Simple (gamma, delta) algebras are associative
DOI: 10.1016/0021-8693(77)90209-5
Journal of Algebra Volume 47, Issue 1 , July 1977, Pages 52-76
Description: An interesting technique emplying group algebra matrix representations.
Availability: 1977-simple.pdf
Hermann, Robert
The formal linearization of a semisimple Lie algebra of vector fields about a singular point
TAMS 130 (1968), 105-109
Description: Some cohomological obstructions to "linearizing" Lie algebra of vector fields induced by some Lie-group data.
Availability: 0-150.pdf; hardcopy
Sophus Lie's 1880 Transformation Group Paper
Math Sci Press, 1975; paperback, 563 pp.
Availability: hardcopy (book); amazon
Ricci and Levi-Civita's Tensor Analysis Paper
Math Sci Press, 1975
Availability: Kolkhoz
Sophus Lie's 1884 Differential Invariant Paper
Math Sci Press, 1976; paperback, 273 pp.
Availability: hardcopy (book)
Hilbert's Invariant Theory Papers
Math Sci Press, 1978
Availability: Kolkhoz
Linear and Tensor Algebra. Interdisciplinary Mathematics, Vol. II
Math Sci Press, 1973; paperback, 170 pp.
Availability: hardcopy (book)
Energy Momentum Tensors. Interdisciplinary Mathematics, Vol. IV
2nd printing, Math Sci Press, 1976; paperback, 120 pp.
Availability: hardcopy (book)
Linear Systems Theory and Introductory Algebraic Geometry. Interdisciplinary Mathematics, Vol. VIII
Math Sci Press, 1974; paperback, 282 pp.
Availability: hardcopy (book)
Geometric Structure of Systems-Control Theory and Physics. Interdisciplinary Mathematics, Vol. IX
Math Sci Press, 1974; paperback, 442 pp.
AVAIL; hard (book)
Gauge Fields and Cartan-Ehresmann Connections, Part A. Interdisciplinary Mathematics, Vol. X
Math Sci Press, 1975; paperback, 515 pp.
Availability: hardcopy (book)
The Geometry of Non-Linear Differential Equations, Bäcklund Transformations, and Solitons, Part A. Interdisciplinary Mathematics, Vol. XII
Math Sci Press, 2nd printing, 1982; paperback, 313 pp.
Availability: hardcopy (book)
Algebro-Geometric and Lie-Theoretic Techniques in Systems Theory, Part A. Interdisciplinary Mathematics, Vol. XIII
Math Sci Press, 1977; paperback, 256 pp.
Availability: hardcopy (book)
Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations and Kinks, Part A. Interdisciplinary Mathematics, Vol. XV
Math Sci Press, 1977; paperback, 225 pp.
Availability: hardcopy (book)
Quantum and Fermion Differential Geometry. Interdisciplinary Mathematics, Vol. XVI
Math Sci Press, 1977; paperback, 196 pp.
Availability: hardcopy (book)
Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations and Kinks, Part. Interdisciplinary Mathematics, Vol. XVIII
Math Sci Press, 1977; paperback, 145 pp.
Availability: hardcopy (book)
Cartanian Geometry, Nonlinear Waves, and Control Theory. Part A. Interdisciplinary Mathematics, Vol. XX
Math Sci Press, 1979; paperback, 501 pp.
Availability: hardcopy (book)
Cartanian Geometry, Nonlinear Waves, and Control Theory. Part B. Interdisciplinary Mathematics, Vol. XXI
Math Sci Press, 1980; hardcover, 585 pp.
Availability: hardcopy (book)
Topics in the Geometric Theory of Linear Systems. Interdisciplinary Mathematics, Vol. XXII
Math Sci Press, 1984; hardcover, 291 pp.
Availability: hardcopy (book)
Topics in Physical Geometry. Interdisciplinary Mathematics, Vol. XXIV
Math Sci Press, 1988; hardcover, 595 pp.
Availability: hardcopy (book)
Geometric and Lie-theoretic principles in pure and applied deformation theory
Deformation theory of algebras and structures and applications, Nato ASI Ser., Ser. C 247, 1988, 701-796
Zentralblatt: 0685.58038
Geometric Computer Science: First Steps. Interdisciplinary Mathematics, Vol. XXV
Math Sci Press, 1991; hardcover, 400 pp.
Availability: hardcopy (book)
Geometric Structures in Nonlinear Physics. Interdisciplinary Mathematics, Vol. XXVI
Math Sci Press
Description: Differential equations, Cartan prolongations, deformations.
Availability: vol26.tar
C-O-R Generalized Functions, Current Algebras, and Control. Interdisciplinary Mathematics, Vol. XXX
Math Sci Press, 1994; hardcover, 205 pp.
Availability: hardcopy (book)
Hermes, H.
Enumerability. Decidability. Computability
Springer, 1969; hardcover, 245 pp.
Availability: hardcopy (book)
Hernandez-Bermejo, Benito
New four-dimenisonal solutions of the Jacobi equations for Poisson structures
J. Math. Phys. 47(2006), 022901
Description: Sort of analog of Darboux theorem for non-linear (4th order) Poisson structures.
Availability: JMathPhys_47_022901.pdf
Herna'ndez, Isabel and Salgado, Gil and Sa'nchez-Valenzuela, Oscar Adolfo
Lie superalgebras based on a 3-dimensional real or complex Lie algebra
J. Lie Theory 16 (2006), No. 3, 539--560
Herrero, Begoña and Laita, Luis M. and Roanes-Lozano, Eugenio and Maojo, Víctor and Ledesma, Luis de and Crespo, José and Laita, Laura
A Symbolic Computation-Based Expert System for Alzheimer's Disease Diagnosis
Lecture Notes in Computer Science Volume 2385/2002 (Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conference, AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002. Proceedings), 2002, p.38
Herrlich, Horst
Axiom of Choice
DOI: 10.1007/11601562
Lecture Notes in Mathematics Volume 1876/2006
Availability: Kolkhoz; 2006-axiom.tar (selected chapters)
Herrmann, C. and Jensen, C.U. and Lenzing, H.
Applications of Model Theory to representations of finite-dimensional algebras
DOI: 10.1007/BF01218373
Math. Z. 178 (1981), N1, 83-98
Description: Behaviour of ultraproduct of associative algebras and modules over them under operations on presentations, Hom, Ext, etc.
Availability: PPN266833020_0178__0_0.pdf
Herscovich, Estanislao and Solotar, Andrea
Hochschild-Mitchell cohomology and Galois extensions
DOI: 10.1016/j.jpaa.2006.05.012
J. Pure Appl. Algebra 209 (2007), N1, 37-55
Description: Hochschild-Mitchell cohomology for group algebras as a direct sum indexed by conjugacy classes of the group, similar to ordinary Hochschild cohomology.
Herstein, I.N.
Lie and Jordan systems in simple rings with involution
DOI: 10.2307/2372675
AJM 78 (1956), 629-649
Lie and Jordan structures in simple associative rings
BAMS 67 (1961), 517-531
Special simple rings with involution
J. Alg. 6 (1967), 369-375
Topics in Algebra
Blaisdell Publ. Co., 1964; paperback, 342 pp.
Availability: hardcopy (book)
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Noncommutative Rings
MAA, 1968; hardcover, small format, 199 pp.
Review: Bull. Amer. Math. Soc. Volume 75, Number 4 (1969), 714-717
Availability: hardcopy; 1968-noncommutative.djvu (Russian translation); Kolkhoz
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On the Lie structure of an associative ring
DOI: 10.1016/0021-8693(70)90103-1
J. Algebra 14 (1970), 561-571
Zentralblatt: 0213.04601
Topics in Ring Theory
2nd impression, The Univ. of Chicago Press, 1972; paperback, small format, 132 pp.
Availability: hardcopy (book)
Invertible and regular elements in rings with involution
J. Alg. 25 (1973), 390-400
Description: Theorems of type: if in a simple ring R with involution every symmetric element is either invertible or nilpotent, then either R is division ring or a ring of 2x2 matrices
Availability: VU
Rings with Involution
The Univ. of Chicago Press, 1976; paperback, small format, 247 pp.
Availability: hardcopy (book)
Herstein, I.N. and Montgomery, S.
A note on division rings with involution
Michigan M.J. 18(1971), 75-79
Invertible and regular elements in rings with involution
J. of Algebra 25(1973), 390-400
Herstein, I.N. and Small, Lance W.
Some comments on prime rings
J. Alg. 60(1979), 223-228
Description: Condition a_1 R a_2 R ... R a_n = 0.
Availability: herstein-small.pdf
Herz, Carl S.
Bessel Functions of Matrix Argument
DOI: 10.2307/1969810
The Annals of Mathematics, 2nd Ser., Vol. 61, No. 3 (May, 1955), pp. 474-523
Availability: 1955-bessel.pdf
Herzer, Armin and Huppert, Bertram
Ein Satz von l. Schur u"ber vertauschbare matrizen
Lin. Algebra Appl. 71(1985), 151-158
Description: Commutative subalgebras of maximal dimension of the matrix ring.
Herzog, Ivo
Pseudo-finite dimensional representations of sl(2,k)
DOI: 10.1007/PL00001402
Selecta Math. 7 (2001), no. 2, 241--290
Description: Representations of "von Neumann regular extension" of U(sl(2)). Connection with logic?
Herzog, Marcel and Longobardi, Patrizia and Maj, Mercede
Elements and groups of finite length
Groups St Andrews 2001 (ed. C.M. Cambell et al.), Vol. 1, LMS Lect. Notes Ser.
Description: Some characterization of infinite groups all whose proper subgroups are abelian.
Availability: 2001-elements/ (first 3 pages only); google books
Herzog, Marcel and Longobardi, Patrizia and Maj, Mercede and Mann, Avinoam
On Generalized Dedekind Groups and Tarski Super Monsters
DOI: 10.1006/jabr.1999.8106
Journal of Algebra Volume 226, Issue 2, 15 April 2000, Pages 690-713
Description: Tarski super monsters are infinite groups all whose proper subgroups are abelian.
Heslot, Andre
Une caracterisation de l'algebre de Lie des diffeomorphismes de R
CRAS 301(1985), 597-600
Description: Description of Lie algebras of smooth functions on R of the form [f,g] = \sum_{m,n} A(m,n) f^{(m)} g^{(n)} (they all are Witt-like).
Availability: hardcopy
Hettiarachchi, Chamath
Representations for six dimensional Lie algebras with a codimension one nilradical
PhD Dissertation, THE UNIVERSITY OF TOLEDO, 2005, 79 pages
Heuch, I.
Partial and complete sex linkage in infinite populations
DOI: 10.1007/BF00279852
J. Math. Biology 1 (1975), N4, 331-343
Description: Seems to be some cumbersome commutative genetic algebras.
Availability: 1975-partial.pdf
Heyworth, A.
Applications of rewriting systems and Grobner bases to computing Kan extensions and identities among relations
Ph.D. Thesis, U. of Wales, 1998
Availability: heyworth.ps.gz
Hicks, K. and Mullen, G.L. and Yucas, J.L. and Zavislak, R.
A polynomial analogue of the 3n+1 problem?
Amer. Math. Monthly 115 (2008), N7, 615-622
Availability: 2008-polynomial.pdf
Hida, Haruzo
Modular Forms and Galois Cohomology
Cambridge Univ. Press, 2008
Description: Euler characteristic of the Galois cohomology of groups.
Hidalgo, Rubén A. and Markina, Irina
Finite dimensional grading of the Virasoro algebra
Georgian Math. J. 14 (2007), No. 3, 419--434
Higgins, P.
Techniques of Semigroup Theory
Oxford Univ. Press, 1992
Availability: Kolkhoz; 1992-techniques.djvu
Higham, Nicholas J.
Computing a nearest symmetric positive semidefinite matrix
Lin. Algebra Appl. 103 (1988), 103-118
Availability: hardcopy
Matrix nearness problems and applications
Applications of Matrix Theory (ed. M. J. C. Gover and S. Barnett), Oxford Univ. Press, 1989, 1-27
Availability: narep161.pdf
Accuracy and Stability of Numerical Algorithms
2nd ed., SIAM, 2002
Availability: Kolkhoz (1st edition); 2002-accuracy.djvu; Kolkhoz' obmennik
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Computing the nearest correlation matrix - a problem from finance
IMA J. Numer. Anal. 22 (2002), 329-343
Availability: hardcopy
Functions of Matrices. Theory and Computation
SIAM, 2008, 425pp.
Hijligenberg, Nico van den and Kochetkov (=Kotchetkov), Y.
The absolute rigidity of the Neveu-Schwarz and Ramond superalgebras
J. Math. Phys. 37(1996), no.11, 5858-5868
MR 97j:81107
Zentralblatt: 0857.17027
Abstract: H^2(L,L)=0 for infinite-dimensional Lie superalgebras k(1) and k^+(1) and their central extensions.
Availability: GetPDFServlet.pdf; hardcopy
Hijligenberg, Nico van den and Kochetkov (=Kotchetkov), Y. and Post, Gerhard
Deformations of S(0,n) and H(0,n)
DOI: 10.1142/S0218196793000068
Int. J. Algebra Comput. 3 (1993), No.1, 57-77
MR 94d:17001
Zentralblatt: 0808.17020
Availability: hardcopy (both preprint and publication)
Deformations of vector fields and Hamiltonian vector fields on the plane
Math. Comput. 64 (1995), No.211, 1215-1226
MR 96e:17057
Zentralblatt: 0832.17022
Description: Relationship between deformations of nilpotent part of H(2) and nilpotent part of W(2).
Availability: hardcopy
Hijligenberg, N. v.d. and Post, G.
Computation by computer of Lie Superalgebra Homology and Cohomology
Acta Applicandae Mathematicae 41 , p. 123-134, 1995
Hilbert, D. and Ackermann, W.
Principles of Mathematical Logic
Chelsea, 1950 (revised, corrected and annotated translation from the 2nd German edition, Springer, 1938); hardcover, 172 pp.
Availability: hardcopy (book); amazon; Kolkhoz (in Russian)
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Hill, W. G. and Thompson, R.
Probabilities of Non-Positive Definite between-Group or Genetic Covariance Matrices
DOI: 10.2307/2530605
Biometrics, Vol. 34, No. 3 (Sep., 1978), pp. 429-439
Availability: 1978-probabilities.pdf
Hill, Richard D. and Waters, Steven R.
On the cone of positive semidefinite matrices
Availability: cone-psd.pdf
Hilton, H.
Homogeneous Linear Substitutions
Oxford Univ. Press, 1914
Availability: Kolkhoz
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Hilton, P.J. and Stammbach, U.
A Course on Homological Algebra
2nd ed., Springer, 1997; hardcover, 364 pp.
Availability: hardcopy (book); 1997-course.djvu; google books
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Hinich, Vladimir
Refined Dynkin data for nilpotent elements
Advances in Mathematics, Volume 104, Number 2, March 1994 , pp. 157-181
Availability: hardcopy (preprint)
On the singularities of nilpotent orbits
Israel J. M. 73 (1991), N3, 297-308
Availability: hardcopy
Descent of Deligne groupoids
Int. Math. Res. Notices 1997, N5, 223-239
Description: Formal deformation problem.
Availability: hardcopy
Deformations of sheaves of algebras
DOI: 10.1016/j.aim.2004.07.007
Adv. Math. 195 (2005), N1, 102-164
arXiv:math.AG/0310116
Hinich, Vladimir and Schechtman, Vadim
On higher deformation theory. I
Preprint, 1993
Availability: hardcopy
Deformation theory and Lie algebra homology
Preprint, May 1994, 52pp.
Availability: hardcopy
Hinich, Vladimir and Vaintrob, Arkady
Cyclic operads and algebra of chord diagrams
math.QA/0005197, 49 pages
Abstract: We prove that the algebra $\cal{A}$ of chord diagrams, the dual to the associated graded algebra of Vassiliev knot invariants, is isomorphic to the universal enveloping algebra of a Casimir Lie algebra in a certain tensor category (the PROP for Casimir Lie algebras). This puts on a firm ground a known statement that the algebra $\cal{A}$ ``looks and behaves like a universal enveloping algebra''. An immediate corollary of our result is the conjecture of Bar-Natan, Garoufalidis, Rozansky, and Thurston on the Kirillov-Duflo isomorphism for algebras of chord diagrams. Our main tool is a general construction of a functor from the category $\mathtt{CycOp}$ of cyclic operads to the category $\mathtt{ModOp}$ of modular operads which is left adjoint to the ``tree part'' functor $\mathtt{ModOp} \to \mathtt{CycOp}$. The algebra of chord diagrams arises when this construction is applied to the operad for Lie algebras. Another example of this construction is Kontsevich's graph complex that corresponds to the operad for homotopy Lie algebras.
Hinkle, D.E. and Wiersma, W. and Jurs, S.G.
Applied Statistics for the Behavioral Sciences
Houghton Mifflin Co., Boston-New York, 1998; hardcover, 749 pp.
Availability: hardcopy (book)
Hirsch, M.W.
Differential Topology
Springer, 1976
Description: Euler characteristic.
Availability: difftop.djvu (in Russian)
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Hirschbu"hl, Ralf
Commutators in classical Lie algebras
Linear Algebra Appl. 142, 91-111 (1990)
Zentralblatt: 0714.17006
Availability: science.pdf
Hirschfeld, Joram and Wheeler, William H.
Forcing, Arithmetic, Division Rings
LNM 454 (1975)
Description: Logical properties of division algebras.
Availability: lnm454/
Hirschhorn, Michael D.
Some formulae for partitions into squares
Discrete Math. 211(2000), 225-228
Zentralblatt: 0941.11039
Availability: hardcopy; 2000-formulae.pdf
Hirschhorn, Michael D. and Sellers, James A.
On a problem of Lehmer on partitions into squares
Ramanujan J. 8(2004), No.3, 279-287
Zentralblatt: 1058.05004
Availability: lehmer-mike-Oct801.pdf; hardcopy
Hlavaty, L. and Snobl, L.
Classification of 6-dimensional Manin triples
math.QA/0202209
Classification of 6-dimensional real Drinfeld doubles
math.QA/0202210
Int.J.Mod.Phys. A17 (2002) 4043-4068
Hmelevskii, Yu.I.
Equations in free semigroups
Proc. Steklov Inst. Math. 107 (1971), AMS, 1976; paperback, 270 pp.
Zentralblatt: 0224.02037
Availability: hardcopy (book); amazon
Hobby, David Charles and McKenzie, Ralph
The Structure of Finite Algebras
URL: http://www.ams.org/online_bks/conm76/ http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/2/817.djvu
Contemp. Math. 1988
Availability: Kolkhoz
Hobson, E.W.
The Theory of Functions of a Real Variable & The Theory of Fourier's Series
Vol. 2, Dover, 1957; paperback, 780 pp.
Availability: hardcopy (book)
Hochschild, G.
Semi-simple algebras and generalized derivations
DOI: 10.2307/2371713
Amer. J. Math. 64 (1942), No. 1/4, 677-694
Description: Around Whitehead lemmas. It is noted that a Lie algebra is semisimple if and only if all its representations are completely reducible (thus giving converse to the first Whitehead lemma).
Availability: 1942-semi.pdf
On the cohomology groups of an associative algebra
DOI: 10.2307/1969145
Ann. Math. 46 (1945), 58-67
Description: Associative algebra is separable iff all its first cohomology vanish. H^n(A,B) = H^{n-1}(A, Hom(A,B)).
Availability: 1945-cohomology.pdf
On the cohomology theory for associative algebras
DOI: 10.2307/1969093
Ann. Math. 47 (1946), No.3, 568-579
Availability: 1946-cohomology.pdf
Cohomology and representations of associative algebras
DOI: 10.1215/S0012-7094-47-01473-7
Duke Math. J. 14 (1947), 921-948
MR 0022842
Zentralblatt: 0029.34201
Availability: 1947-cohomology.pdf
On the structure of algebras with nonzero radical
BAMS 1947
Description: Associative algebras.
Lie algebras and differentiations in rings of power series
Amer. J. Math. 72 (1950), 58-80
Zentralblatt: 0035.01805
Description: Representations of Lie algebras as derivations of power series ring.
Availability: hochschild.pdf
Cohomology of restricted Lie algebras
DOI: 10.2307/2372701
AJM 76 (1954), N3, 555-580
Availability: hoch.pdf
Lie algebra kernels and cohomology
DOI: 10.2307/2372712
AJM 76 (1954), N3, 698-716
Availability: kern.pdf
Cohomology classes of finite type and finite dimensional kernels for Lie algebras
DOI: 10.2307/2372650
AJM 76 (1954), 763-778
Availability: 0-150.pdf; hardcopy
Representations of restricted Lie algebras of characteristic p
DOI: 10.2307/2032042
Proc. Amer. Math. Soc. 5 (1954), 603-605
Description: A finite-dimensional restricted Lie algebra L has only semisimple representations iff L is abelian and x^p generated whole L.
Availability: 1954-representations.pdf
Restricted Lie algebras and simple associative algebras of characteristic p
DOI: 10.2307/1993009
Trans. Amer. Math. Soc. 80 (1955), No.1, 135-147
Description: Galois-like theory (Lie algebras appear as derivations of field extensions).
Availability: 1955-restricted.pdf
Note on Lie algebra kernels in characteristic p
DOI: 10.2307/2033349
PAMS 7 (1956), N4, 551-557
Availability: kernels-char-p.pdf
An Addition to Ado's Theorem
Proceedings of the American Mathematical Society, Vol. 17, No. 2 (Apr., 1966), pp. 531-533
Zentralblatt: 0143.05205
Description: Each finite-dimensional Lie algebra has a faithful representation r such that r(x) is nilpotent for any nilpotemt element x.
Note on algebraic Lie algebras
DOI: 10.2307/2037665
PAMS 29 (1971), No. 1, 10-16
Availability: 1971-note.pdf
Hochschild, G. and Kostant, Bertram and Rosenberg, Alex
Differential forms on regular affine algebras
DOI: 10.2307/1993614
TAMS 102 (1962), No.3, 383-408
Description: Classic.
Availability: hardcopy
Hochschild, G. and Serre, J.-P.
Cohomology of Lie algebras
DOI: 10.2307/1969740
Ann. Math. 57 (1953), N3, 591-603
Description: Classics; may be helpful in H^2(L,K) -> H^1(L,L^*) business; generalization of Whitehead lemmas about vanishing of cohomology for reductive Lie algebras (Theorem 10).
Availability: hardcopy; hs.pdf
Cohomology of group extensions
DOI: 10.2307/1990851
TAMS 74 (1953), 110-134
Availability: hs-gr.pdf
Hochster, Melvin
Subsemigroups of amenable groups
DOI: 10.2307/2037004
PAMS 21 (1969), No.2, 363-364
Description: Free semigroup could be embedded into solvable group.
Availability: 1969-subsemigroups.pdf
Why characteristic p is better?
Invited address at the annual A.M.S. meeting in Baltimore on January 8, 1998
Description: Surveyed approach to some problems in commutative algebra by solving it in p>0 and then derive from it p=0 case.
HODGE, Terrell L. and PARSHALL Brian J.
On the representation theory of Lie triple systems
Transactions of the American Mathematical Society 2002, vol. 354, no11, pp. 4359-4391
Description: Cohomology of Lie triple systems (including restricted one).
Hodges, Wilfrid
Model Theory
Cambridge Univ. Press, 1993, 772 p.
Zentralblatt: 0789.03031
Availability: archernikov at lj
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Hoehnke, H.-J.
Uber nichtassociative Algebren mit associativ-symmetrischer Bilinearform
Monatsber. Deutsch. Akad Wiss. Berlin, 4 (1963), 173-178
Hofmann, K.H.
Lie algebras with subalgebras of codimension one
Ill. J. Math. 9 (1965), 636-643
Description: (An easy) classification of such finite-dimensional real algebras. Such simple algebras are exhausted by sl(2). Not useful in the infinite-dimensional case.
Availability: hardcopy
Hyperplane subalgebras of real Lie algebras
DOI: 10.1007/BF00150789
Geom. Dedicata 36 (1990), N2-3, 207-224
Description: Full classification of real Lie algebras with a subalgebra of codimension 1. Very vivid language.
Availability: 1990-hyperplane.pdf
Hofmann, K. H. and Keith, V. S.
Invariant quadratic forms on finite dimensional Lie algebras
Bull. Austral. Math. Soc. 33 (1986), 21-36
HOFMANN, KARL H. and MICHAELIS, WALTER J.
Commuting exponentials in a Lie group
DOI: doi:10.1017/S0305004106009509
Mathematical Proceedings of the Cambridge Philosophical Society (2006), 141: 317-338
Hofmann, Karl H. and Morris, Sidney A.
The Lie Theory of Connected Pro-Lie Groups: A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups
EMS Tracts in Mathematics, 2007; 693 pp.
Zentralblatt: pre05159966
Hofmann, Karl Heinrich and Ruppert, Wolfgang A. F.
On porcupine varieties in Lie algebras
Math. Ann. 298 (1994), no. 3, 403--425
MR 95b:17033
Hogben, Leslie
Identities of nonassociative algebras studied by computer
Contemp. Math. 13 (1982), 321-
Description: A lucid explanation how S_n-action on a set of multilinear identities could be utilized to derive whether an identity is a consequence of others.
Availability: hardcopy (book)
Holgate, P.
Jordan algebras arising in population genetics
Proc. Edinburgh Math. Soc. 15(1966/67), 291-294
MR 36#6468
Zentralblatt: 0153.36304
Characterizations of genetic algebras
DOI: 10.1112/jlms/s2-6.1.169
J. London Math. Soc. 6 (1972), 169-174
MR 47#3479
Zentralblatt: 0261.17014
Description: Characterization of genetic algebras in terms of a Lie algebra generated by its left and right multiplications. Connection with a result on nilpotency of Lie algebras with automorphism without fixed point.
Availability: 169.pdf
Genetic algebras satisfying Bernstein's stationarity principle
DOI: 10.1112/jlms/s2-9.4.613
J. London Math. Soc. 1975 s2-9: 613-623
Zentralblatt: 0365.92025
Availability: 613.pdf
Population algebras
J. Royal Statist. Soc. Ser. B (Methodological) 43 (1981), No.1, 1-19
Zentralblatt: 0472.92008
Description: A nice survey, to a certain extent, of works on genetic algebras. Extension of the theory of genetic algebras to the case of stochastic population processes.
Availability: Holgate1.pdf; hardcopy
The interpretation of derivations in genetic algebras
Lin. Alg. Appl. 85 (1987), 75-79
Zentralblatt: 0603.92013
Algebras of genetic self-incompatibility systems
Proc. Roy. Soc. London Ser. A 427 (1990), 359-369
MR 91g:17046
Zentralblatt: 0713.17021
Description: Lie and Lie-admissible algebras occur, though the algebraic part is fairly trivial.
Availability: Holgate2.pdf; hardcopy
Biometric and chromosome algebras
DOI: 10.2307/3214563
J. Appl. Probab. 29 (1992), No. 2, 247-254
MR 94c:17051
Zentralblatt: 0755.17019
Description: An algebra is defined, representing change of continuous character in a mating population, which is a continuos analog of usual genetic algebras. Product is defined via a normal-distribution-like integral.
Availability: Holgate3.pdf; hardcopy
The multilocus Hardy-Weinberg law
DOI: 10.1007/BF00163844
J. Math. Biology 31 (1992), N1, 101-106
MR 93j:92019
Zentralblatt: 0757.92013
Availability: 1992-multilocus.pdf; hardcopy
Holgate, Philip and Machado, Silvia D. A.
Recombination between several polyploid loci
DOI: 10.1007/BF00275499
J. Math. Biology 25 (1987), N6, 637-642
Zentralblatt: 0652.92010
Description: Genetic algebras.
Availability: 1987-recombination.pdf
Holm, Thorsten
Hochschild cohomology of the integral group ring of a cyclic group and related algebras
DOI: 10.1007/BF01189095
Arch. Math. 67 (1996), N5, 360-366
The Hochschild cohomology ring of a modular group algebra: the commutative case
Comm. Algebra 24 (1996), no. 6, 1957--1969
MR 97c:13012
Hochschild cohomology rings of algebras k[X]/(f)
Beiträge zur Algebra und Geometrie 41 (2000), No.1, 291-301
Holmann, H.
Lineare und Multilineare Algebra. I
Bibliographishes Inst. Mannheim, 1970; paperback, 212 pp.
Availability: hardcopy (book)
Holmes, Randall R.
Simple modules with character height at most one for the restricted Witt algebras
J. Alg. 237(2001), N2, 446-469
Zentralblatt: 1005.17015
Holmes, Randall R. and Nakano, Daniel K.
Block degeneracy and Cartan invariance for graded Lie algebras of Cartan type
J. Alg. 161 (1993), 155-170
Availability: hn.pdf
Holmes, Karen and Stitzinger, Ernest
Finite dimensional nilpotent Lie algebras with isomorphic maximal subalgebras
DOI: 10.1081/AGB-100002404
Comm. Alg. 29 (2001), N6, 2501-2521
Availability: 100002404.pdf
Holmes, Randall R. and Zhang, Chaowen
Some simple modules for the restricted Cartan-type Lie algebras
J. Pure Appl. Alg. 173 (2002), N2, 135-165
Holod, Petro I. and Skrypnyk, Taras V.
Integrable evolutionary equations via Lie algebras on hyperelliptic curves
Pakuliak, Stanislav (ed.) et al., Integrable structures of exactly solvable two-dimensional models of quantum field theory. Proceedings of the NATO Advanced Research workshop on dynamical symmetries of integrable quantum field theory and lattice models, Kiev, Ukraine, September 25-30, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 35, 199-210 (2001)
Zentralblatt: 1017.37037
Hierarchies of integrable equations associated with hyperelliptic Lie algebras
J. Phys. A, Math. Gen. 34, No.49, 11123-11137 (2001)
Zentralblatt: 1001.37075
Holt, Derek F. and Eick, Bettina and O'Brien, Eamonn
Handbook of Computational Group Theory
Chapman & Hall/CRC, 2005, 536 pages
Availability: 46 GBP
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Holt, Derek F. and Plesken, W.
Perfect Groups
Oxford Univ. Press, 1989
Holtz, Olga and Mehrmann, Volker and Schneider, Hans
Potter, Wielandt, and Drazin on the matrix equation $AB=\omega BA$, with some new answers to old questions
arXiv:math.RA/0512607
Amer. Math. Monthly 111 (2004), no. 8, 655--667 [shorter version]
Holubowski, Waldemar
Free Subgroups of the Group of Infinite Unitriangular Matrices
International Journal of Algebra and Computation, Vol. 13, No. 1 (2003) 81-86
Abstract: In this note we give simple explicit examples of free subgroups of rank 2 in the group of infinite upper unitriangular matrices over integers. The proofs that the given subgroup is free are elementary. Using canonical projections mod p (p -- any odd prime) we obtain also free subgroups in the group of finite state automata on alphabet of size p, extending results of Aleshin [1], Brunner-Sidki [2] and Olijnyk-Sushchansky [8, 9] in this direction. As application, we give the simple proofs of two classical results on free groups.
Holvoet, Roger
Sur l'immersion d'un semi-groupe dans un group
Bull. Soc. Math. Belgique 11 (1959), 134-146
23#A234
Availability: hardcopy
Homma, Yasushi
Bochner-Weitzenbo"ck formulas and curvature actions on Riemannian manifolds
Trans. Amer. Math. Soc. 358 (2006), 87-114
Availability: S0002-9947-05-04068-7.pdf
Honda, Masanobu and Sakamoto, Takanori
Lie algebras represented as a sum of two subalgebras
URL: http://wwwmaths.anu.edu.au/research.reports/mrr/98.065/ http://escholarship.lib.okayama-u.ac.jp/mjou/vol42/iss1/4/
Math. J. Okayama Univ. 42 (2000), 73-81
Zentralblatt: 1017.17020
Abstract: Let L be a Lie algebra represented as a sum of two subalgebras A and B. We prove that if L belongs to a subclass of the class of locally finite Lie algebras over a field of characteristic and both A and B are locally nilpotent, then L is locally soluble. We also prove that if L is a serially finite Lie algebra over a field of characteristic zero, then any common serial subalgebra of A and B is serial in L.
Availability: MRR98-065.dvi
Hong, Jin and Kwon, Jae-Hoon
Decomposition of Free Lie Algebras into Irreducible Components
Journal of Algebra Vol. 197, No. 1, November 1, 1997 pp. 127-145
Hopcroft, J.E. and Ullman, J.D.
Formal Languages and Their Relation to Automata
Addison-Wesley, 1969; hardcover, 242 pp.
Availability: hardcopy (book)
Hopf, Heinz
Ueber Die Topologie der Gruppen-Mannigfaltigkeiten und Ihre Verallgemeinerungen
Ann. Math. 42 (1941), No.1., 22-52
Description: Homology and Poincare polynomials of Lie groups.
Availability: 0-150.pdf; hardcopy
Hopkins, Nora C.
Noncommutative matrix Jordan algebras from Lie algebras
DOI: 10.1080/00927879108824168
Comm. Algebra 19 (1991), N3, 767-775
Zentralblatt: 0728.17001
Description: Noncommutative Jordan algebras associated to Lie algebras with bilinear symmetric invariant form.
Availability: 780025009_content.pdf
Generalized derivations of nonassociative algebras
Nova J. Math. Game Theory Algebra 5 (1996), No.3, 215-224
MR 98e:17004
Zentralblatt: 0883.17005
Description: Classical Lie algebras different from sl(2) do not have antiderivations (in the sense of Filippov), and, more generally, generalized derivations (in the sense of Leger-Liks)
Availability: hopkins_generalized.PDF
Horadam, K.J.
Hadamard Matrices and Their Applications
Princeton U. Press, 2007
Description: "... based on development of algebraic link between Hadamard matrices and the cohomology of finite groups".
Horn, R. and Johnson, C.
Matrix Analysis
URL: http://www.krelib.com/matematika/1862 http://techlibrary.ru/books.htm
Description: Author of the foreword to the Russian translation positions it as a next encyclopedia of matrix theory after Gantmacher.
Availability: horn-johnson.djvu (in Russian)
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Horn, Roger A. and Sergeichuk, Vladimir V.
Canonical matrices of bilinear and sesquilinear forms
DOI: 10.1016/j.laa.2007.07.023
arXiv:0709.2408
Lin. Alg. Appl. 428 (2008), N1, 193-223
Hornos, Jose' Eduardo M. and Hornos, Yvone M. M.
Algebraic model for the evolution of the genetic code
Phys. Rev. Lett. 71(1993), 4401-4404
Availability: p4401_1.pdf; hardcopy
Horozov, Emil
Strictly nilpotent elements and bispectral operators in the Weyl algebra
Bull. Sci. Math. 126(2002), 605-614
math-ph/0206030
Zentralblatt: (me)
Availability: hardcopy
Horozov, Ivan E.
Euler characteristics of arithmetic groups
math.GR/0311117
Abstract: We develop a general method for computing the homological Euler characteristic of finite index subgroups G of GL_m(O_K) where O_K is the ring of integers in a number field K. With this method we find, that for large, explicitly computed dimensions m, the homological Euler characteristic of finite index subgroups of GL_m(O_K) vanishes. For other cases, some of them very important for spaces of multiple polylogarithms, we compute non-zero homological Euler characteristic. With the same method we find all the torsion elements in GL_3(Z) up to conjugation. Finally, our method allows us to obtain a formula for the Dedekind zeta function at -1 in terms of the ideal class set and the multiplicative group of quadratic extensions of the base ring.
Horvat, Boris and Jakli\v{c}, Ga\v{s}per and Pisanski, Toma\v{z}
On the Number of Hamiltonian Groups
math.CO/0503183, 6 pages
Description: Finite groups all whose subgroups are normal.
Hosten, Serkan and Sullivant, Seth
The Algebraic Complexity of Maximum Likelihood Estimation for Bivariate Missing Data
arXiv:0709.0935
Description: Some examples if maximum likelihood equation for bivariate normal distribution were covariance matrix entries are among parameters.
Houghton, C. H.
Ends of groups and the associated first cohomology groups
DOI: 10.1112/jlms/s2-6.1.81
J. London Math. Soc. 1972 s2-6: 81-92
Availability: 81.pdf
Householder, Alston S.
Generation of errors in digital computation
BAMS (?), May 1953, 234-247
Description: an interesting historical paper which may be relevant today.
Availability: hardcopy
Householder, A.S.
Principles of Numerical Analysis
McGraw-Hill, 1953; hardcover, 274 pp.
Availability: absent on ozon; hardcopy (book)
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The Theory of Matrices in Numerical Analysis
Dover, 1975 (republication of Blaisdell Publ. Co., 1964); paperback, 257 pp.
Availability: absent on ozon; hardcopy (book)
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Howe, Roger
Very Basic Lie Theory
URL: http://www.jstor.org/pss/2323277 http://www.jstor.org/pss/2322958
The American Mathematical Monthly, Vol. 90, No. 9 (Nov., 1983), pp. 600-623; Cirrection: Vol. 91, No. 4 (Apr., 1984), pp. 247
A century of Lie theory
Mathematics into the Twenty-First Century (ed. Felix E. Browder), Vol. II, AMS, 1992
Description: Very nice.
Availability: google books
Howie, J.M.
An Introduction to Semigroup Theory
AP, 1976
Availability: Kolkhoz; 1976-introduction.djvu [absent pages 30-31]
Fundamentals of Semigroup Theory
DOI: 10.1112/S0024609396292379
Oxford Univ. Press, 1995
Review: Bull. London Math. Soc. 29 (1997), 369-381
Availability: Kolkhoz
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Free subgroups in groups of small deficency
J. Group Theory 1 (1998), 95-112
Description: About difference between number of generators - number of relations.
Howie, James and Williams, Gerald
The Tits alternative for generalized triangle groups of type (3,4,2)
arXiv:math.GR/0603682
Hoyle, M. H.
Estimating Generating Functions
URL: http://projecteuclid.org/euclid.aos/1176343291 http://links.jstor.org/sici?sici=0090-5364%28197511%293%3A6%3C1361%3AEGF%3E2%2E0%2ECO%3B2-J
Ann. Statist. Volume 3, Number 6 (1975), 1361-1363
Description: If A and B are expanded as power series, and A is estimate of B, then each term in expansion of A is an estimate of the corresponding term in expansion of B.
Hozo, Iztok
The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset
Electronic J. Combinatorics 2 (1995), R14
Hreinsdóttir, Freyja
A case where choosing a product order makes the calculations of a Groebner basis much faster
DOI: 10.1006/jsco.1994.1053
J. Symb. Comput. 18, No.4, 373-378 (1994)
Zentralblatt: 0826.68069
Hrivnak, J. and Novotny, P. and Patera, J. and Tolar, J.
Graded contractions of the Pauli graded sl(3,C)
math-ph/0509033
Linear Algebra Appl. 418 (2006), no. 2-3, 498--550
Hrushovski, E. and Pillay, A.
Groups definable in local fields and pseudo-finite fields
DOI: 10.1007/BF02758643
Israel J. Math. 85 (1994), 203-262
MR 95f:12015
Description: A theory of subgroups and subsets definable in GL_n(F) by first-order formulas, parallel to the theory of Zariski-closed subsets.
Availability: 1994-groups.pdf
Hsie, Binyong
On Complete Lie Algebras
DOI: 10.1080/00927870600862557
Communications in Algebra Volume 34, Number 10 / 2006 Pages: 3743 - 3750
Description: Method of construction of complete Lie algebras.
Hu, Naihong
q-Witt algebras, q-Lie algebras, q-holomorph structure and representations
Algebra Colloquium 6 (1999), N1, 51-70
MR 2000k:17017
Abstract: For q generic or q = epsilon, a primitive lth root of 1, q-Witt algebras are described by means of q-divided power algebras. The q-Lie algebras are investigated and the q-PBW theorem for universal enveloping algebras of q-Lie algebras is proved. A realization of a class of representations of q-Witt algebras is given. Based on it, the q-holomorph structure for q-Witt algebras is constructed, which interprets the realization in the context of representation theory.
Hu, P. and Kriz, I. and Voronov, A.
On Konstevich's Hochschild cohomology conjecture
math.AT/0309369
Compositio Mathematica (2006), 142: 143-168
Description: Hochschild cohomology in the category of n-algebras. Abstract nonsense.
Hu, Naihong and Liu, Dong
Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)
math.RT/0610579, 8 pp.
Communications in Algebra, to appear
A cohomological characterization of Leibniz central extensions of Lie algebras
DOI: 10.1090/S0002-9939-07-08985-X
arXiv:math.QA/0605399
Hu, Naihong
Pei, Yufeng
Liu, Dong
Proc. Amer. Math. Soc. 136 (2008), 437-447
Description: Cohomological variant of Pirashvili's exact sequnce connecting Chevalley-Eilenberg cophomology and symmetric invariant bilinear forms.
Hu, Naihong and Wang, Xiuling
Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in modular case
DOI: 10.1016/j.jalgebra.2007.02.019
arXiv:math.QA/0602281
Journal of Algebra Volume 312, Issue 2, 15 June 2007, Pages 902-929
Hu, J. and Wang, X.-D. and Zhao, K.-M.
Verma modules over generalized Virasoro algebras Vir[G]
J. Pure Appl. Algebra 177(2003), N1, 61-69
Availability: vir.pdf
Hua, Xiuying and Su, Yucai
Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic
math.RA/0510566
Huang, Jing-Song
Dirac operators in representation theory
Algebra Colloq. 11 (2004), N1, 31-52
Description: Dirac cohomology and connection with Lie algebra cohomology.
Huang, N.S. and Finch, P.
The SmartMoney Stock Picker's Bible
John Wiley & Sons, 2002; hardcover with dustjacket, 290 pp.
Availability: hardcopy (book)
Huang, Yi-Zhi and Lepowsky, James
Vertex operator algebras and operads
arXiv:hep-th/9301009
Operadic formulation of the notion of vertex operator algebra
Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (ed. P.J. Sally et al.), Contemporary Mathematics 175 (1994)
Availability: 14$ whole volume (AMS sale)
Huang, Yi-Zhi and Lepowsky, James and Zhang, Lin
Logarithmic tensor product theory for generalized modules for a conformal vertex algebra
arXiv:0710.2687, 293 pp.
Description: In the beginning, interesting reasonings what the tensor product is.
Huang, Li-Ping and Liu, Zhuo-Jun
Similarity reduction of matrix over a quaternion division ring
DOI: 10.1016/j.laa.2007.08.003
Lin. Alg. Appl. 427 (2007), N2-3, 317-332
Huang, Jianhua Z. and Liu, Naiping and Pourahmadi, Mohsen and Liu, Linxu
Covariance matrix selection and estimation via penalised normal likelihood
Biometrika 93 (2006), N1, 85-98
Availability: hardcopy
Huang, Jing-Song and Pandzic, Pavle
Dirac cohomology for Lie superalgebras
Transformation Groups 10(2005), N2, 201 - 209
Availability: p232u6126711g528.pdf
Dirac Operators in Representation Theory
Birkhauser, 2006, 300 pp.
Description: Dirac cohomology of Lie superalgebras.
Availability: 59.95 $
Huang, Jing-Song and Pandzic, Pavle and Renard, David
URL: http://www.ams.org/ert/2006-10-12/S1088-4165-06-00267-6/home.html
Dirac operators and Lie algebra cohomology
Represent. Theory 10 (2006), 299-313
Huang, Sha and Qiao, Yu Ying and Wen, Guo Chun
Real and Complex Clifford Analysis
Springer, 2006
Huang, Guang-Xin and Yin, Feng and Guo, Ke
The general solutions on the minimum residual problem and the matrix nearness problem for symmetric matrices or anti-symmetric matrices
DOI: 10.1016/j.amc.2007.04.041
Appl. Math. Comput. 194 (2007), no. 1, 85--91
Description: Seemingly a generalization of coposede. Should be taken with a grain of salt.
Huckle, Thomas
Jüdische Mathematiker im "Dritten Reich"
Availability: web; evenari.pdf
Huebschmann, Johannes
Crossed n-folds extensions of groups and cohomology
Comm. Math. Helv. 55 (1980), 302-314
MR 82e:20063
Zentralblatt: 0443.18019
Poisson cohomology and quantization
JRAM 408 (1990), 57-113
Availability: PPN243919689_0408__0_0.pdf
Duality for Lie-Rinehart algebras and the modular class
arXiv:dg-ga/9702008
Description: Homological duality for Lie-Rinehart algebras generalizing homological duality for ordinary Lie algebras.
Extensions of Lie-Rinehart algebras and the Chern-Weil construction
in: Contemp. Math. 227 (1999)
Lie-Rinehart algebras, descent, and quantization
Galois Theory, Hopf Algebras, and Semiabelian Categories (ed. G.Janelidze, B.Pareigis and W.Tholen), AMS, 2004, 295-316
arXiv:math.SG/0303016, 23 pages
Higher homotopies and quasi-Lie-Rinehart, Gerstenhaber-, and Batalin-Vilkovisky algebras
The Breadth of Symplectic and Poisson Geometry. Festschrift in Honor of Alan Weinstein (ed. J.E. Marsden and T.S. Ratiu), Birkhauser, 2005, 237-302
ESI Report No 1411
arXiv:math.DG/0311294
Description: Not only abstract nonsense.
Availability: 2005-weinstein-festschrift.djvu (whole book)
Huggins, Peter and Pachter, Lior and Sturmfels, Bernd
Towards the human genotope
q-bio.PE/0611032
Hughes, Bruce and Ranicki, Andrew
Ends of Complexes
URL: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521055192 http://www.maths.ed.ac.uk/~aar/books/
Cambridge Tracts in Mathematics (No. 123), Cambridge Univ. Press
Hull, J.C.
Fundamentals of Futures and Options Markets
4th ed., Prentice Hall, 2002; softcover, 491 pp.
Availability: hardcopy (book)
Options, Futures, and Other Derivatives
6th ed., Prentice-Hall, 2006
Availability: hull-derivatives-6ed.djvu
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Humphreys, James E.
Modular representations of classical Lie algebras and semisimple groups
J. Alg. 19 (1971), 51-79
Description: Construction of restricted modules, which occupy "intermediate" position between projective and simple ones. Served as a model for BGG in their classical works about infinite-dimensional modules for p=0.
Availability: hardcopy
Modular representations of simple Lie algebras
Bull. Amer. Math. Soc. 35 (1998), 105-122; Erratum: 231
Zentralblatt: 0962.17013
Description: A survey (algebras are classical).
Availability: hardcopy
Linear Algebraic Groups
corrected 5th printing, Springer, 1998; hardcover, 253 pp.
Availability: hardcopy (book); 1980-linear-rus.djvu (Russian translation from the 1975 edition); Kolkhoz (English edition); google books
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Introduction to Lie Algebras and Representation Theory
MCCME, 2003 (Russian translation from Springer, 1972); paperback, small format, 213 pp.
Availability: hardcopy (book); Kolkhoz; Library in VRII 512.55 Hum (English edition); google books
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