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Maakestad, Helge
The Chern character for Lie-Rinehart algebras
Ann. Inst. Fourier 55 (2005), no. 7, 2551--2574
Description: Releated to cohomology.
Gauss-Manin connection and Lie-Rinehart cohomology
arXiv:math.AG/0602197
Description: Cohomology of Lie-Rinehart algebras.
Chern classes and Lie-Rinehart algebras
DOI: 10.1016/S0019-3577(07)80065-6
Indagationes Mathematicae Volume 18, Issue 4, 2007, Pages 589-599
Macdonald, I. G.
Affine root systems and Dedekind's \eta-function.
Invent. Math. 15 (1972), 91--143
MR 50#9996 (very elaborated)
Symmetric Functions and Hall Polynomials
(in Russian)
Availability: Kolkhoz; absent on ozon
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Symmetric Functions and Orthogonal Polynomials
AMS, 1998
Availability: Kolkhoz
MacDougall, J. A. and Sweet, L. G.
Four-dimensional homogeneous algebras
Pacific J. Math. Volume 129, Number 2 (1987), 375-383.
MR 909038
Zentralblatt: 0589.17003
MacDuffee, C.C.
The Theory of Matrices
Chelsea, 1946
Description: A detailed survey of all the results known for that time (1930s?).
Availability: Kolkhoz; hardcopy
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Macedonska, Olga
Collapsing groups and positive laws
DOI: 10.1080/00927870008827047
Comm. Algebra 28 (2000), N8, 3661-3666
Availability: 780154263.pdf
Macedonska, O. and Slanina, P.
GB-Problem in the Class of Locally Graded Groups
DOI: 10.1080/00927870701776599
Communications in Algebra, Volume 36, Issue 3 March 2008, pages 842-850
Description: For some class of groups, the following is true: if a group is generated by a semigroup satisfying identity, then the group satisfies an identity (this is false in general). Generic results about groups geberated by semigroups satisfying an identity.
Availability: 794214215_content.pdf
Macedonska, Olga and Storozhev, A.
Varieties of t-groups
Communications in Algebra, 25 (5), (1997) 1589-1593
Description: t-groups are groups in whuich "being a normal subgroup" is a transitive realtion. Varieties all whose groups are t-groups.
MACINTYRE, ANGUS
Model theory of exponentials on Lie algebras
DOI: 10.1017/S0960129508006622
Mathematical Structures in Computer Science (2008), 18:189-204
Description: Interesting results and reasoning about exponential map.
Availability: S0960129508006622a.pdf
MacKay, N. J. and Taylor, A.
Rational R-matrices and exceptional Lie algebras
DOI: 10.1007/s10582-006-0430-x
Czechoslovak J. Phys. 56 (2006), 10-11, 1231-1236
Description: A brief introduction into the next article.
Rational R-matrices, centralizer algebras and tensor identities for e_6 and e_7 families of Lie algebras
DOI: 10.1063/1.2779960
arXiv:math.QA/0608248
J. Math. Phys. 48, 103507 (2007)
Description: Freudenthal-Tits magic square of exceptional Lie algebras.
Mackenzie, Kirill
General Theory of Lie Groupoids and Lie Algebroids
CUP, 2005, 540 pp.
Availability: 90$
Mackey, G.W.
Products of subgroups and projective multipliers
Hilbert Space Operators, Colloquia Math. Soc. Janos Bolyai 5 (1972), 401-413
Zentralblatt: 0251.22005
Description: H^2 of a groups which is decomposable as a product of two subgroups.
Availability: hardcopy
MacLane, Saunders
Homology
Mir, 1966 (Russian translation from Springer, 1963)
Availability: Kolkhoz
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Categories for the Working Mathematician
corrected 6th printing, Springer, 1994; hardcover, 262 pp.
Availability: hardcopy (book); google books
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Mathematics at Göttingen under the Nazis
Notices AMS, October 1995
Van der Waerden's Modern Algebra
Notices AMS, March 1997
Macrae, Robert E.
On Cardinality, Cohomology and a Conjecture of Rosenberg and Zelinsky
DOI: 10.2307/1993957
Transactions of the American Mathematical Society, Vol. 118, Jun., 1965 (Jun., 1965), pp. 243-246
Availability: 1965-cardinality.pdf
Madadi, A.R. and Shahryari, M.
Symmetry classes of tensors as sl_n(C)-modules
DOI: 10.1080/03081080701393496
Linear and Multilinear Algebra, Volume 56, Issue 5 September 2008, pages 517-541
Availability: 779315506.pdf
Maftsir, E. S. and Plotkin, B. I.
Group of automorphisms of a database
DOI: 10.1007/BF01061307
Ukrainian Mathematical Journal Volume 40, Number 3 / May, 1988 Pages 286-294
Availability: 1988-group.pdf
Magid, Andy R.
Ultrafunctors
CJM 27 (1975), N2, 372-275
Description: How some functors (like Picard group, Brauer group, various K's, etc.) behave under ultraproduct construction.
Availability: hardcopy
Magnin, Louis
Cohomologie adjointe des algebres de Lie de Heisenberg
Comm. Alg. 21 (1993), 2101-2129
Complex structures on indecomposable 6-dimensional nilpotent real Lie algebras
DOI: 10.1142/S0218196707003500
Int. J. Algebra Comput. 17 (2007), No.1, 77-113
arXiv:math.RA/0402021
Left invariant complex structures on U(2) and SU(2)xSU(2) revisited
arXiv:0809.1182
Description: [Jx,Jy] - [x,y] - J[Jx,y] - J[x,Jy] = 0 on u(2) + u(2), su(2)^n, etc.
Magnus, Wilhelm
Ueber Gruppen und zugeordneten Liesche Ringe
JRAM 182 (1940), 142-149
Availability: PPN243919689_0182__0_0.pdf
The uses of 2 by 2 matrices in combinatorial group theory. A survey
Result. Math. 4, 171-192 (1981)
Zentralblatt: 0468.20031
Magnus, W. and Karras, A. and Solitar, D.
Combinatorial Group Theory
Interscience Publ., 1966; hardcover with dustjacket, 444 pp.
Availability: hardcopy (book)
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Magyar, Peter
A Borel-Weil construction for Schur modules
Preprint, September 1994
Description: generalized Young diagrams, their symmetrization operators and Schur GL(N)-modules
Availability: hardcopy
Mahajan, Swapneel
Symplectic operad geometry and graph homology
math.QA/0211464
Abstract: A theorem of Kontsevich relates the homology of certain infinite dimensional Lie algebras to graph homology. We formulate this theorem using the language of reversible operads and mated species. All ideas are explained using a pictorial calculus of cuttings and matings. The Lie algebras are constructed as Hamiltonian functions on a symplectic operad manifold. And graph complexes are defined for any mated species. The general formulation gives us many examples including a graph homology for groups. We also speculate on the role of deformation theory for operads in this setting.
Mahdavi-Hezavehi, M.
Tits alternative for maximal subgroups of GL_n(D)
DOI: 10.1016/j.jalgebra.2003.09.028
Linear Algebraic Groups and Related Structures Preprint Server, 2003, Oct 5
J. Algebra 271 (2004), no. 2, 518--528
Maier, Peter
Central extensions of topological current algebras.
Geometry and analysis on finite- and infinite-dimensional Lie groups (Bedlewo, 2000), 61--76, Banach Center Publ., 55, Polish Acad. Sci., Warsaw, 2002.
Description: over semisimple real Lie algs
Availability: 2143.ps
Maier, P. and Neeb, K.-H.
Central extensions of current groups
DOI: 10.1007/s00208-003-0425-x
Math. Ann. 326 (2003), N2, 367-415
Description: Lemma II.11 - invariant symmetric bilinear forms of current algebras over a simple classical Lie algebra.
Mailybaev, Alexei A.
Transformation of families of matrices to normal forms and its application to stability theory
SIAM J. Matrix Anal. Appl. 21, No.2, 396-417
Availability: 33837.pdf
Transformation to versal deformations of matrices
DOI: 10.1016/S0024-3795(01)00346-9
Lin. Alg. Appl. 337 (2001), 87-108
Description: Explicit construction of parametric transformation matrices providing Arnold's versal deformations. An accurate thorough presentation of Arnold's theory.
Availability: hardcopy
Maiti, Santanu K.
A Basic Introduction on Math-Link in Mathematica
arXiv:cs.MS/0603005
Majadas, J. and Rodicio, A.G.
The Hochschil (co-)homology of hypersurfaces
Comm. Alg. 20(1992), 349-386
Description: (Among other) Hochschild homology of K[x]/(f(x)) (Proposition 4.15)
Availability: CWI
Majid, Shahn
Foundations of Quantum Group Theory
DOI: 10.1112/S0024609397213287
2 volumes, College Press, Univ. of Beijing, 1998 (reprint of the 1995 edition); paperback, small format, 605 pp.
Review: Bulletin of the London Mathematical Society (1997), 29: 754-767
Availability: hardcopy (books)
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Majumdar, Parthasarathi
Inonu-Wigner contractions of Kac-Moody algebras
DOI: 10.1063/1.530155
J. Math. Phys. 34 (1993), 2059-2065
arXiv:hep-th/9207057
Description: Pedestrian physical approach.
Majumdar, Anita and Mukherjee, Goutam
Deformation theory of dialgebras
K-Theory 27(2002), 33-60; Errata: K-Theory 35, N3-4, 2005, 395-397
MR 2003j:17001 (me)
Availability: hardcopy; r265048432618481.pdf (Errata)
Dialgebra cohomology as a G-algebra
Trans. Amer. Math. Soc. 356 (2004), 2443-2457
Makanin, G.S.
On normalizers in the braid group
DOI: 10.1070/SM1971v015n02ABEH001538
Mat. Sb. 86 (1971), N2, 171-179
Math. USSR Sbornik 15 (1971), N2, 167-175
MR 347988
Zentralblatt: 0229.20035
On systems of equations in free groups
Sib. Math. J. 13, 402-408 (1972)
Sib. Mat. Zh. 13, 587-595 (1972)
Zentralblatt: 0258.20042
The problem of solvability of equations in a free semigroup
Sov. Math. Dokl. 18 (1977), 330-334
Dokl. Akad. Nauk SSSR 233 (1977), No.2, 287-290
Zentralblatt: 0379.20046
On the rank of coefficientless equations in four unknowns in a free semigroup
DOI: 10.1070/SM1976v029n02ABEH003667
Mat. Sb. 100 (1976), N2, 285-311
Math. USSR Sbornik 29 (1976), N2, 257-280
MR 419645
Zentralblatt: 0361.20060
The problem of solvability of equations in a free semigroup
DOI: 10.1070/SM1977v032n02ABEH002376
Mat. Sb. 103 (1977), N2, 147-236
Math USSR Sbornik 32 (1977), N2, 129-198
MR 470107
Zentralblatt: 0371.20047|0396.20037
Equations in a free semigroup
Proc. ICM Helsinki 1978, Vol. 1, 263-268 (Russian)
AMS Transl. Ser. 2, 117 (1981), 1-6 (English)
Zentralblatt: 0436.20039
Recognizing the rank of coefficientless equations in a free semigroup
Sov. Math. Dokl. 19 (1978), 1434-1417
Dokl. Akad. Nauk SSSR 243 (1978), 851-854
Zentralblatt: 0417.20050
Recognition of the rank of equations in a free semigroup
DOI: 10.1070/IM1980v014n03ABEH001143
Izv. Akad. Nauk SSSR 43 (1979) 547-602
Math. USSR Izv. 14 (1980), 499-545
MR 541660
Zentralblatt: 0409.20044
Equations in a free group
DOI: 10.1070/IM1983v021n03ABEH001803
Izv. AN SSSR 46 (1982), N6, 1199-1273
Math USSR Izv 21 (1983), N3, 483-546
MR 682490
Zentralblatt: 0511.20019
Decidability of the universal and positive theories of a free group
DOI: 10.1070/IM1985v025n01ABEH001269
Izv. AN SSSR. 48 (1984), N4, 735-749
Math USSR Izv. 25 (1985), N1, 75-88
MR 755956
Zentralblatt: 0578.20001
On the decidability of the theory of free groups (in Russian)
Lect. Notes Comput. Sci. 199 (1985), 279-284
Zentralblatt: 0574.20001
Description: A survey.
Separable closed braids
DOI: 10.1070/SM1988v060n02ABEH003184
Mat. Sb. 132 (1987), N4, 531-540
Math USSR Sbornik 60 (1988), N2, 521-531
MR 0886644
Zentralblatt: 0713.20028
On a decidable fragment of the elementary theory of a free group (in Russian)
Vopr. Kibern. 134 (1988), 103-114
Zentralblatt: 0665.03003
Investigations on equations in a free group
IWWERT 1990: 1-11
On general solution of equations in a free semigroup
LNCS 677 (1993), 1-5
Zentralblatt: 0925.20067
Multiplication of natural number parameters and equations in a free semigroup
Trans. Amer. Math. Soc. 348 (1996), No.12, 4813-4824
Zentralblatt: 0862.20043
Finite parametrization of solutions of equations in a free monoid. I
DOI: 10.1070/SM2004v195n02ABEH000800
Sbornik Math. 195 (2004), No.2, 187-235
MR 2068951
Zentralblatt: 1073.20049
Availability: MSB_195_2_A03.pdf
Finite parametrization of solutions of equations in a free monoid. II
DOI: 10.1070/SM2004v195n04ABEH000814
Sbornik Math. 195 (2004), No.4, 521-552
MR 2086665
Zentralblatt: 1073.20050
Availability: MSB_195_4_A03.pdf
Poincare's conjecture for three manifolds
arXiv:0711.3706
Description: Using Stallings equivalence of the problem to one of splitting of S_m -> F_n x F_n.
Makanin, G. S. and Abdulrab, Habib
On General Solution of Word Equations
Results and Trends in Theoretical Computer Science, LNCS 812 (1994), 251-263
Functions for the General Solution of Word Equations
CADE-13 International Workshop on Term Schematisation and their Applications, Rutgers University, New Jersey, USA, July 1996, Pages : 30-40
Makanin, G. S. and Abdulrab, Habib and Maksimenko, M. N.
Formal Parametric Equations
Fundamentals of computation theory, LNCS 965 (1995), 353-362
Makanin, Gennady S. and Makanina, Tatiana A.
Parametrization of solutions of some equations of squares in a free monoid
Diskr. Mat., 1999, 11:3, 133-148
Discrete Math. Appl. 9, No.4, 419-435 (1999)
MR 1739075
Zentralblatt: 0976.20041
Parametrisation of solutions of parametric equation in free monoid
DOI: 10.1016/S0304-3975(00)00004-9
Theor. Comput. Sci. 242(1-2): 403-475 (2000)
Zentralblatt: 0944.68147
Functions for parametrization of solutions of an equation in a free monoid
Trans. Am. Math. Soc. 352, No.1, 1-54 (2000)
Zentralblatt: 0943.20056
Makar-Limanov, Leonid
Kommutativnost' nekotorykh centralizatorov v kolcakh R_n,k
Funct. Anal. Prilozh. 4 (1970), N4, 78
Availability: hardcopy
On free subsemigroups of skew fields
DOI: 10.2307/2044623
Proc. AMS 91 (1984), No.2, 189-191
Description: The multiplicative group of skew field with uncountable center either contains a free nonabelian semigroup or is commutative.
Availability: 1984-free.pdf
A version of the Poincare-Birkhoff-Witt theorem
Bull. Lond. Math. Soc. 26 (1994), No.3, 273-276
Zentralblatt: 0823.17013
Description: Monomials spanning U(L) for a finite-dimensional Lie algebra L (p=0) may be chosen in some restrictive specific way, depending on the generating set of L.
Makar-Limanov, L. and Malcolmson, P.
Free subalgebras of enveloping fields
DOI: 10.2307/2048319
PAMS 111 (1991), No.2, 315-322
MR 91f:16023
Zentralblatt: 0179.16008
Availability: 1994-free.pdf
Makarenko, N. Yu. and Khukhro, E. I.
Almost solvability of Lie algebras with almost regular automorphisms
Doklady Math. 68 (2003), No.3, 325- (English)
Dokl. Akad. Nauk 393 (2003), no. 1, 18--19 (Russian)
Almost solubility of Lie algebras with almost regular automorphisms
DOI: 10.1016/j.jalgebra.2003.09.019
J. Algebra 277 (2004), no. 1, 370-407
Makhlouf, Abdenacer
Alge'bres associatives et calcul formel
Theoretical Computer Science Volume 187, Issues 1-2 , 15 November 1997, Pages 123-145
Description: Study of cohomology and varieties of associative algebras using Mathematica.
Degeneration, rigidity and irreducible components of Hopf algebras
math.RA/0211187, 12 pages
Abstract: The aim of this work is to discuss the concepts of degeneration, deformation and rigidity, and to apply them to the geometric study of the varieties of Hopf algebras. The main result is the description of the n-dimensional rigid Hopf algebras and the irreducible components for n=p^2, p prime and for n<14.
A comparison of deformations and geometric study of associative algebras varieties
math.RA/0601766
Description: Overview and to comparison of the different deformation theories of algebraic structures with emphasis on associative algebras.
Makhlouf, Abdenacer and Silvestrov, Sergei D.
Notes on formal deformations of Hom-associative and Hom-Lie algebras
arXiv:0712.3130
Hom-algebra structures
Journal of Generalized Lie Theory and Applications 2 (2008), No 2, pp 51-64
Description: Hom-associative, Hom-Leibniz and Hom-Lie admissible structures.
Makishev, K B
Generalized casimir elements of abelian extensions of the Zassenhaus algebra
DOI: 10.1070/RM1989v044n05ABEH002289
Russ. Math. Surv. 44 (1989), N5, 210-211
Maksimenko, D.V. (=Maksymenko) and Petravchuk, A.P.
On solvability of a Lie algebra on which a fixed-point-free orthogonal operator is given
Visn. Mat. Mekh. Ky\"iv. Univ. Im. Tarasa Shevchenka 2003, No. 10, 123-124 (in Ukrainian)
Zentralblatt: 1122.17302
Description: Lie algebras having a fixed-point free operator T such that [Tx,Ty] = [x,y], are solvable.
Lie algebras with complemented ideals
Visn. Mat. Mekh. Ky\"iv. Univ. Im. Tarasa Shevchenka 2005, No. 14, 105-108 (Ukrainian)
Zentralblatt: 1101.17004
Malcev, A.I.
On faithful representations of infinite groups of matrices
Mat. Sb. 8 (1940), 405-422
AMS Transl. Ser. 2 45 (1965), 1-18
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 58-73
Description: Linear finitely-generated groups are residually finite.
Availability: 1976-selected-works-1.djvu (whole book); hardcopy
Commutative subalgebras of semi-simple Lie algebras
Izvestiya Akad. Nauk SSSR 9 (1945), 291-300
AMS Transl. Ser. 1, Vol. 9, Lie Groups, 1962, 214-227
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 146-154
MR 7,362a
Zentralblatt: 0063.03728
Description: Maximal dimenison of commutative subalgebra in classical Lie algebras (generalization of Schur's theorem for full matrix algebras).
Availability: 1976-selected-works-1.djvu (whole book)
Solvable Lie algebras
Izvestiya Akad. Nauk SSSR 9 (1945), 329-356 (Russian)
AMS Transl. Ser. 1, Vol. 9, Lie Groups, 1962, 228-262 (English)
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 155-
MR 9,173f
Description: Lie algebras with the following properties are studied: each element is decomposed into a sum of semisimple and nilpotent element (called algebraic by other authors). Algebraic envelope. An alternative proof of Ado's theorem.
Availability: 1976-selected-works-1.djvu (whole book)
On normed Lie algebras over the field of rational numbers
Dokl. Akad. Nauk SSSR 62 (1948), 745-748
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 214-
Description: Malcev correspondence between nilpotent groups and Lie algebras.
Availability: 1976-selected-works-1.djvu (whole book)
Nilpotent torsion-free groups (in Russian)
Izvestiya Akad. Nauk. SSSR. Ser.Mat. 13 (1949), 201-212
MR 0028843
Description: 1-1- correspondence between such groups and (nilpotent?) Lie algebras over Q.
Ob algebrakh s tozhdestvennymi sootnosheniyami
Mat. Sbornik 26 (1950), N1, 19-33
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 279-
Description: If for a nilpotent free algebra L, L/I = L/J, then (under some additional conditions), I=J.
Availability: hardcopy; 1976-selected-works-1.djvu (whole book)
On a representation of nonassociative rings
UMN 7 (1952), 181-185 (in Russian)
Izbrannye Trudy. Tom. I, Nauka, Moscow, 1976, 328-
Zentralblatt: 0048.26001
Description: Given a ring A, a new product considered x*y = a_i x b_i y c_i + f_i * y * g_i * x * h_i each nonassociative ring may be represented as a subring of such ring for a suitable associative ring A.
Availability: 1976-selected-works-1.djvu (whole book); hardcopy
Problems in the theory of classes of models
Trudy 4 Vses. Mat. S'ezda, Vol. 1, Leningrad, AN SSSR, 1963, 169-198
The Metamathematics of Algebraic Systems. Collected papers, North-Holland, 1971, 313-352
MR 27#5693
Description: A survey of model theory, including some questions related to second-order logic (seems to be not very useful).
Availability: hardcopy
Algebraic Systems
Springer, 1973 (translation from Russian, Izdat. Fiz.-Mat. Lit., 1970); hardcover, 317 pp.
Availability: hardcopy (book); absent on amazon; Kolkhoz (in Russian)
Izbrannye trudy. Tom I. Klassicheskaya algebra
Nauka, 1976 (in Russian)
Availability: 1976-selected-works-1.djvu; absent on amazon; Kolkhoz
Izbrannye trudy. Tom II. Matematicheskaya logika i obshchaya teoriya algebraicheskikh sistem
Nauka, 1976 (in Russian)
Availability: 1976-selected-works-2.djvu; absent on amazon; Kolkhoz
Foundations of Linear Algebra
URL: http://techlibrary.ru/books.htm http://www.newlibrary.ru/book/malcev_i_a_/osnovy_lineinoi_algebry.html http://lib.prometey.org/?id=14854&page=3
URL: malcev/linalg.djvu
3rd ed. (in Russian)
Availability: absent on amazon; Kolkhoz (in Russian)
Malcolm, Wilfred G.
Variations in definition of ultraproducts of a family of first order relational structures
Notre Dame J. Formal Logic 13 (1972), no. 3, 394-398
Availability: 1093890629.pdf
Application of higher-order ultraproducts to the theory of local properties in universal algebras and relational systems
Proc. London Math. Soc. 27 (1973), 617-637
Availability: 617.pdf
Some results and algebraic applications in the theory of higher-order ultraproducts
Notre Dame J. Formal Logic 15 (1974), no. 1, 1-15
Description: Higher-order languages, analogs of the Los' ultraproduct theorem.
Availability: malcolm-high-ultra.pdf
Malgrange, Bernard
Systemes differentiels involutifs
URL: http://smf.emath.fr/Publications/PanoramasSyntheses/2005/19/html/smf_pano-synth_19.html http://www-fourier.ujf-grenoble.fr/PUBLIS/publications/REF_636.pdf
Panoramas et Synthese, N19, SMF, 2005, 106 pp.
Zentralblatt: 1090.35003
Description: Exposition of the theory of "systemes en involution" of E.Cartan from the homological point of view of Spencer, Sternberg et al.
Malley, J.
Statistical applications of Jordan algebras
Springer 1994, 100p
Malliavin-Brameret, Marie-Paule (=Malliavin)
Cohomologie d'algebres de Lie nilpotentes, et caracteristique d'Euler-Poincare
Bull. Sci. Math. 100(1976), 269-287
Availability: hardcopy
Caracteristiques d'Euler-Poincare d'algebres de Lie resolubles
C. R. Acad. Sci. Paris 284(1977), 1487-1488
Zentralblatt: 0386.17006
Availability: hardcopy
Sur une question de localisation
Glasgow Math. J. 22(1981), 137-139
Availability: hardcopy
Modules sans torsion et modules injectifs sur les algebres de Lie resolubles
J. Alg. 83(1983), N1, 126-157
Availability: hardcopy
Representations injectives d'algebres de Lie resolubles
Comm. Alg. 14(1986), N8, 1503-1513
Availability: hardcopy
Maloo, Alok Kumar
Maximally Differential Graded Ideals in Positive Characteristic
DOI: 10.1080/00927870600794271
Communications in Algebra Volume 34, Number 10 / 2006 Pages: 3505 - 3510
Description: A graded version of some Harper (Block-like) result about differentiably simple algebras.
Malyshev, A.V.
U"ber die Darstellung ganzer Zahlen mittels positiver quadratischer Formen (in Russian)
Zentralblatt: 0135.09801
Availability: 1962-darstellung.djvu
Malyshev, F M
On closed subsets of roots and cohomology of regular subalgebras
DOI: 10.1070/SM1977v033n01ABEH002416
Math. USSR Sbornik 33 (1977), N1, 125-135
Description: Develops Leger-Luks theme?
Availability: sm2416.pdf
Malyshev, V.A.
Algebra in constructive mathematical physics
Rus. Math. Surv. 45 (1990), N5, 172-211
Description: Part III: "continous" analogue of vectory Lie algebras (particularly, Virasoro) and their central extensions.
Availability: UVA
Mandal, Ashis
Deformation of Leibniz algebra morphisms
Homology, Homotopy and Appl. 9 (2007), No.1, 439-450
An example of constructing versal deformation for Leibniz algebras
DOI: 10.1080/00927870801952769
Comm. Algebra 36 (2008), N6, 2233-2253
arXiv:0712.2096
Description: Versal deformations via usual cohomological mashinery of a concrete 3-dimensional algebra.
Manetti, Marco
Lectures on deformations of complex manifolds
arXiv:math.AG/0507286
Rendiconti di Matematica 24 (2004), 1-183
Manin, Yuri I.
A remark on Lie p-algebras
Sibirsk. Mat. Zh. 3 (1962), 479-480
Seven Papers on Algebra, Algebraic Geometry and Algebraic Topology, AMS Transl. Ser. 2, Vol. 63, 178-179
MR 25#2105
Zentralblatt: 0108.03202
Description: Any restricted (finite-dimensional) Lie algebra is embedded into W_n.
Availability: google books; 1962-remark.tar
Lekcii po algebraicheskoi geometrii. I. Afinnye schemy
MGU, 1970 (in Russian)
Availability: Kolkhoz
Lekcii po algebraicheskoi geometrii. II. K-functor v algebraicheskoi geometrii
MGU, 1971 (in Russian)
Availability: Kolkhoz; hardcopy (printout)
Cubic Forms
Nauka, 1972
North Holland, 1974
Availability: Kolkhoz
A Course in Mathematical Logic
Springer, 1977 (translation from Russian)
Availability: 1977-course.djvu
Algebraic aspects of nonlinear differential equations
Sovremennye problemy matematiki, Vol. 11, VINITI, 1978, 5-
J. Sov. Math.
Availability: algebraic-aspects.djvu; Kolkhoz
Vychislimoe i nevychislimoe
Sovetskoe Radio, 1980 (in Russian)
Description: Interesting.
Availability: Kolkhoz
Kalibrovochnye polya i kompleksnaya geometriya
Nauka, 1984 (in Russian)
Description: Superthings?
Availability: Kolkhoz; hardcopy (printout)
Remarks on algebraic supermanifolds
AMS Transl. 140 (1988), 131-
Availability: supermanifold.tar (first 3 pages only)
google books
Quantum groups and noncommutative geometry
Publ. Centre de Recherches Mathematiques, Montreal, 1988
MR 91e:17001
Availability: quantum-crm.{pdf.djvu}; Kolkhoz
Topics in non-commutative geometry
Princeton U. Press, 1991
MR 92k:58024
Review: BAMS 29 (1993), N1, 106-111
Description: Chapter 2, sections 5 and 6: Virasoro and Neveu-Schwarz (super)algebras via SUSY families, their currentizations and central extensions.
Availability: topics-noncomm.djvu; Kolkhoz; amazon
Selected Papers of Yu.I. Manin
World Sci., 1996
Availability: 1996-selecta.djvu; Kolkhoz
Good proofs are proofs that make us wiser. Interview by Martin Aigner and Vasco A. Schmidt
Mitt. Detsch. Math.-Ver. 1998, no.2, 40-44
MR 1631408
Availability: manin.pdf
Three constructions of Frobenius manifolds: a comparative study
arXiv:math.QA/9801006
Description: Could be interesting in light of "cohomology of a sum of Lie brackets" constructions.
Availability: hardcopy
Classical computing, quantum computing, and Shor's factoring algorithm
arXiv:quant-ph/9903008
Description: Talk at the Bourbaki Seminar.
The notion of dimension in geometry and algebra
DOI: 10.1090/S0273-0979-06-01081-0
BAMS 43 (2006), N2, 139-161
arXiv:math.AG/0502016
Availability: hardcopy (journal)
Manivel, L.
Configurations of lines and models of Lie algebras
DOI: 10.1016/j.jalgebra.2006.04.029
J. Algebra 304 (2006), N1, 457-486
Description: Exceptional Lie algebras.
Manji, Imtiaz A. and Sa'nchez, Rafael
A Note on the Homology of the Schur Complex
Journal of Algebra 211 (1999), 514-523
Availability: manji7.pdf
Homology of the Symmetric Powers Revisited
CARLETON ELECTRONIC MATHEMATICS SERIES Number 8 - August 1999
Description: homological complex(es) invloving symmetric and skew powers
Availability: manji8.pdf
Mann, Avinoam
Some applications of powerful p-groups
Groups St. Andrews 1989, Vol. 2, Cambridge U. Press, 1991, 370-
Description: p.375: ref. to "Lubotzky alternative", which is a sort of awkward refinement of Tits alternative.
Availability: hardcopy (book)
Manning, William Albert
Primitive Groups
Stanford Univ., 1924
Availability: Kolkhoz; absent on amazon
Mansfield, Richard
The theory of boolean ultrapowers
Ann. Math. Logic 2(1971), N3, 297-323
Description: A notion of ultrapower is extended to notion of boolean ultrapower, where the set of all subset is replaced by arbitrary boolean algebra.
Availability: science-1.pdf
Manteuffel, T.A.
An incomplete factorization technique for positive definite linear systems
Math. Comp. 34 (1980), 473--497
Description: Has something to do with correction of positive semi-definitness
Manturov, O V
On cohomologies of semidirect Lie algebras
Trudy Sem. Vekt. Tenz. Anal. 24 (1991), 87-92
Zentralblatt: 0807.17017
Description: Cohomology of Lie algebras which are semidirect sum of a semisimple Lie algebra and irreducible module, p=0.
The cohomology of a certain class of Lie algebras
DOI: 10.1070/RM1992v047n06ABEH000977
Russ. Math. Surv. 47(1992), N6, 224-225
Zentralblatt: 0792.17018
Description: An approach to cohomology with trivial coefficients of a Lie algebra over p=0 whose radical is a sum of two submodules irreducible under Levi subalgebra.
Availability: rm_47_224.pdf
Manturov, V.O.
Lekcii po teorii uzlov i ikh invariantov
URSS, 2001 (in Russian); paperback, small format, 303 pp.
Availability: hardcopy (book)
Marc, Henrard
Parameter risk in the Black and Scholes model
Economics Working Paper Archive at WUSTL, 2003
Abstract: We study parameter or estimation risk in the hedging of options. We suppose that the world is such that the price of an asset follows a stochastic differential equation. The only unknown is the (future) volatility of the asset. Options are priced and hedged according to the Black and Scholes formula. We describe the distribution of the profit and loss of the hedging activity when the volatility of the underlying is misestimated. A financial interpretation of the results is provided. Analytical bounds and numerical results for call, put, and portfolios complete our description.
Marche, Julien
Quelques resultats sur la caracteristique d'Euler
Notions de la cohomologie (ed. Yann Ollivier et Joel Riou),
Groupe de travail 2000-2001, ENS, 58-75
Description: Very methodological exposition of questions related to differential-geometric Euler characteristic.
Availability: toutcohom.ps (whole volume)
Marchenkov, S.S.
Closed classes of Boolean functions
Fizmatlit, Moscow, 2000 (in Russian); paperback, 128 pp.
Availability: hardcopy (book)
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Marchuk, G.I.
Metody rasshchepleniya
Nauka, 1988 (in Russian); hardcover, 263 pp.
Availability: hardcopy (book)
Marciniak, Zbigniew S.
A note on free products of linear groups
PAMS 94(1985), No 1, 46-48
Description: For any linear groups G,H in GL_n(K), their free product G*H can be embedded into GL_n(K(t)), under some restrictions on K.
Availability: 0-150.pdf
Cyclic homology and idempotent in group rings
LNM 1217(1985), 253-257
MR 89b:20023
Marcus, M.
Finite Dimensional Multilinear Algebra, Part I
Marcel Dekker, 1973
Description: Symmetry classes of tensors.
A Survey of Finite Mathematics
Dover, 1993 (corrected republication of Houghton Mifflin Co., Boston, 1969); paperback, 486 pp.
Availability: hardcopy (book)
Marcus, M. and Khan, N.A.
On matrix commutators
CJM 12(1960), 269-277
Description: Solutions of the matrix equation [A,[A,X]] = 0.
Availability: CWI
Marcus, M. and Minc, H.
A Survey of Matrix Theory and Matrix Inequalities
Dover, 1992 (reprint of Prindel, Weber & Schmidt, 1969, corrected edition); paperback, 180 pp.
Availability: hardcopy (book)
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Marcus, Marvin and Moyls, B.N.
Transformations on tensor product spaces
Pac. J. Math. 9 (1959), 1215-1221
Zentralblatt: 0089.08902
Description: Results about rank of elements of Hom (U\otimes V, U\otimes V). For example, if linear transformation preserves elements of rank one, than it is of rank one.
Mareels, I. and Polderman, J.W.
Adaptive Systems. An Introduction
Birkhäuser, 1996; hardcover, 339 pp.
Availability: hardcopy (book)
Margulis, G.
Discrete Subgroups of Semisimple Lie Groups
Springer, 1991
MCCME, 2007
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Margulis, G.A. and Soifer, G.A.
Maximal subgroups of infinite index in finitely generated linear groups
DOI: 10.1016/0021-8693(81)90123-X
J. Algebra 69 (1981), N1, 1-23
Description: A finitely generated linear group admits a primitive action on an infinite set if and only if it is not virtually solvable. Th. 3. A finitely generated linear group has maximal subgroups of only finite index iff it is solvable-by-finite.
Availability: 1981-maximal.pdf
Mariano, H. L.
Profinite Structures are Retracts of Ultraproducts of Finite Structures
Marin, Ivan
Strongly indecomposable finite groups
DOI: 10.1016/j.exmath.2007.11.003
Expos. Math. 26 (2008), N3, 261-267
Description: Finite groups all whose subgroups cannot be represented as a direct product.
Group algebras of finite groups as Lie algebras
arXiv:0809.0074
Description: p=0. Some reductive subalgebras related to involution x -> x^{-1}.
Marker, David
Model Theory: An Introduction
URL: http://www.justpasha.f2s.com/books/20060624/model-theory.tar.bz2 (png images) http://artyom.chernikov.googlepages.com/Marker_ModelTheory.djvu http://www.springer.com/math/book/978-0-387-98760-6
Springer, 2002
Availability: Kolkhoz (djvu file); google books
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Markl, Martin
Models for operads
arXiv:hep-th/9411208
Availability: hardcopy
A resolution (minimal model) of the PROP for bialgebras
arXiv:math.AT/0209007, 20 pages
Description: Deformation and cohomology of bialgebras.
Cohomology operations and the Deligne conjecture
arXiv:math.AT/0506170
Description: Operadic cohomology.
Operads and PROPs
DOI: 10.1016/S1570-7954(07)05002-4
Handbook of Algebra, Vol. 5, Elsevier, 2008, 87-140
arXiv:math.AT/0601129
Markl, M. and Merkulov, S. and Shadrin, S.
Wheeled PROPs, graph complexes and the master equation
math.AG/0610683
Description: Cohomology of a directed version of Kontsevich's complex.
Markl, Martin and Remm, Elisabeth
Algebras with one operation including Poisson and other Lie-admissible algebras
DOI: 10.1016/j.jalgebra.2005.09.018
arXiv:math.AT/0412206
J. Algebra 299 (2006), N1, 171-189
Description: Operads, operation of depolarization.
Markl, Martin and Shnider, Steve
Cohomology of Drinfel'd algebras: A general nonsense approach
q-alg/9505002
Drinfeld algebra deformations, homotopy comodules and the associahedra
URL: http://links.jstor.org/sici?sici=0002-9947(199609)348%3A9%3C3505%3ADADHCA%3E2.0.CO%3B2-K http://www.ams.org/tran/1996-348-09/S0002-9947-96-01489-4/S0002-9947-96-01489-4.pdf http://www.mathe2.uni-bayreuth.de/axel/papers/markl:drinfeld_algebra_deformations_homotopy_comodules_and_the_associahedra.ps.gz
TAMS 348(1996), N9, 3505-3547
hep-th/9407138
Markl, Martin and Shnider, Steve and Stasheff, Jim
Operads in Algebra, Topology and Physics
AMS, 2002, 349pp.
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Markl, M. and Stasheff, J.D.
Deformation theory via deviations
J. Algebra 170(1994), No.1, 122-155
Availability: science.pdf; hardcopy
Markl, M. and Voronov, A.
PROPped up graph cohomology
Algebra, Arithmetic and Geometry. Volume I: In Honor of Y.I. Manin, Progress in Mathematics , Vol. 269 Tschinkel, Yuri; Zarhin, Yuri G. (Eds.), Springer, 2008
Markov, V T
On matrix algebras with two generators and on embedding PI-algebras
DOI: 10.1070/RM1992v047n04ABEH000926
1992 Russ. Math. Surv. 47 216-217
Description: Every finitely-genberated PI-algebras can be embedded into 2-generated PI-algebra, similar for Jordan algebras.
Availability: RMS_47_4_L12.pdf
Marshall, E.I.
The genus of a perfect Lie algebra
DOI: 10.1112/jlms/s1-40.1.276
JLMS 40 (1965), 276-282
Description: Examples of perfect Lie algebras which are not 2-generated.
Availability: hardcopy
The Frattini subalgebra of a Lie algebra
J. London Math. Soc. 42 (1967), 416-422
Zentralblatt: 0166.04101
Bonds for the genus of a Lie algebra
DOI: 10.1093/qmath/19.1.1
Quart. J. Math. 19 (1968), 1-8
Availability: 1968-bonds.pdf
Marshall, Albert W. and Olkin, Ingram
Inequalities: Theory of Majorization and Its Applications
Mir, 1983 (Russian translation from AP, 1979)
Availability: 1979-inequalities.djvu
Martin, Geoffrey
A Darboux theorem for multi-symplectic manifolds
Lett. Math. Phys. 16(1988), No.2, 133-138
Availability: X5PL0Q7R38M06748.pdf
Martin, Christiane and Piard, Alain
Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
Commun. Math. Phys. 137, No.1, 109-132 (1991)
Zentralblatt: 0728.17015
Nonbounded indecomposable admissible modules over the Virasoro algebra
Lett. Math. Phys. 23, No.4, 319-324 (1991)
Zentralblatt: 0751.17023
Classification of the indecomposable bounded admissible modules over the Virasoro Lie algebra with weightspaces of dimension not exceeding two
Commun. Math. Phys. 150, No.3, 465-493 (1992)
Zentralblatt: 0774.17036
Martinez, Consuelo (=Martinez Lopez)
Infinite dimensional Lie and Jordan algebras
DOI: 10.1007/s00009-006-0077-7
Mediterranean J. Math. 3 (2006), N2, 273-282
Description: A survey about some graded infinite-dimensional algebras and superalgebras.
Martínez-Pérez, Conchita
A bound for the Bredon cohomological dimension
DOI: 10.1515/JGT.2007.053
J. Group Theory 10 (2007), N6, 731-747
Description: Finite subgroups.
Availability: 2007-bound.pdf
Martinez, Consuelo and Shestakov, Ivan and Zelmanov, Efim
Jordan superalgebras defined by brackets
J. London Math. Soc. 64(2001), N2, 357-368
Zentralblatt: 1043.17018
Abstract: Jordan superalgebras defined by brackets on associative commutative superalgebras are studied. It is proved that any such superalgebra is imbedded into a superalgebra defined by Poisson brackets. In particular, all Jordan superalgebras of brackets are i-special. The speciality of these superalgebras is also examined, and it is proved, in particular, that the Cheng-Kac superalgebra is special.
Availability: brack.dvi
Martinez, Consuelo (=Martinez Lopez) and Zelmanov, Efim
Nil algebras and unipotent groups of finite width
Adv. Math 147 (1999), No.2, 328-344
Zentralblatt: 0941.17018
Description: Graded Lie algebra over a field of characteristic 0 with each homogeneous component of dimension less than d and with each homogeneous element being ad-nilpotent must be locally nilpotent. In characteristic p this is not true.
Specializations of Jordan superalgebras
Can. Math. Bull. 45 (2002), No.4, 653-671
Zentralblatt: 1029.17024
Description: Could be related (not formally, but computationally and ideologically) to associative envelopes of Lie algebras.
Availability: martinezRVM8287.ps
A Kronecker factorization theorem for the exceptional Jordan superalgebra
DOI: 10.1016/S0022-4049(02)00120-2
J. Pure Appl. Algebra 177 (2003), N1, 71-78
Zentralblatt: 1048.17018
Abstract: A Jordan superalgebra J containing the 10-dimensional exceptional Kac superalgebra K_10 is isomorphic to (K10 \otimes S) + J', where S is an associative commutative algebra.
Availability: superjord.pdf
Lie superalgebras graded by P(n) and Q(n)
DOI: 10.1073/pnas.0932706100
Proc. Natl. Acad. Sci. USA 100 (2003), no.14, 8130-8137
Zentralblatt: 1063.17018
Description: Tensor products with associative commutative algebra.
Martynov, G. V.
Evaluation of the normal distribution function
DOI: 10.1007/BF01085187
Journal of Mathematical Sciences Volume 17, Number 3 / October, 1981 Pages 1857-1875
Itogi Nauki i Tekhniki, Seriya Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika, Vol. 17, pp. 57-384, 1979
Abstract: Known methods are described for evaluating the multivariate normal distribution function in general and in a number of special cases. Methods are presented for evaluation of the one-dimensional normal distribution function and its inverse.
Availability: 1979-evaluation.pdf
Marx, K.
Mathematische Manuskripte
Scriptor Verlag, 1974; paperback, small format
Availability: hardcopy (book); amazon
Mashevitzky, G. and Plotkin, B. and Plotkin, E.
Automorphisms of categories of free algebras of varieties
ERA AMS 8(2002), 1-10
Description: Related with "universal algebraic geometry", where the role of polynomial algebra and the ground field in ordinary algebraic geometry is taken by any variety of algebras and fixed algebra in that variety. Cases of associative and Lie algberas are considered.
Automorphisms of the category of free Lie algebras
J. Algebra 282(2004), N2, 490-512
math.GM/0210187
Mashimo, Katsuya
On branching theorem of the pair (G2,SU(3))
Nihonkai Math. J. 8(1997), 101-107
Availability: hardcopy; mashimo.djvu
Maslen, P. E.
Z_2^n grading of the classical Lie algebras
math-ph/0508026
Maslov, V.P.
Analytic continuation of asymptotic formulas and axiomatics of thermodynamics and semithermodynamics
Funct. Anal. Appl. 28 (1994), N4, 247-
Description: Reasonings about passages between classical and quantum mechanics and different thermodynamics via deformations and contractions.
Availability: hardcopy (first page only)
Nonlinearity of averages in financial mathematics
Math. Notes 74 (2003), N6, 893-896
Availability: hardcopy
Approximation probabilities, the law of quasistable markets, and phase transitions from the "condensed" state
arXiv:math.PR/0307265
Description: A very lucid paper.
Masmoudi, Mohsen and Poncin, Norbert
On a general approach to the formal cohomology of quadratic Poisson structures
DOI: 10.1016/j.jpaa.2006.03.028
J. Pure Appl. Alg. 208 (2007), N3, 887-904
Massey, W.S.
Algebraic Topology. An Introduction
1967 (Russian translation in Massey & Stallings, Novokuzneckii Fiz.-Mat. Inst., 2000; paperback, small format, 340 pp.)
Availability: hardcopy (Russian translation); amazon
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Mastnak, Mitja
On the cohomology of a smash product of Hopf algebras
math.QA/0210123
Description: 5-term exact sequence for low-dimensional cohomology of a smash product of Hopf algebras, generalizing an analogous one for semidirect product of group with an abelian group. It should be the similar thing true for Lie algberas, either by analogy or by direct consequence.
Mastnak, Mitja and Witherspoon, Sarah
Bialgebra cohomology, pointed Hopf algebras, and deformations
arXiv:0704.2771
Masuda, Tetsuya
Dualite pour le produit croise differentiel et sa cohomologie cyclique periodique
CRAS 301 (1985), 551-553
Description: Hochschild and cyclic cohomology of the first Weyl algebra.
Availability: hardcopy
Masuda, Tetsuya and Natsume, Toshikazu
Cyclic cohomology of certain affine schemes.
Publ. Res. Inst. Math. Sci. 21 (1985), no. 6, 1261--1279
MR 87k:13020
Abstract: The periodic cyclic cohomology of the commutative C-algebra A=C[x]/f is explicitly computed. The authors prove that in odd degrees it is zero; and in even degrees it is isomorphic to $\bold C^m$, where $m$ is the number of distinct roots of $f=0$ in $\bold C$. The calculus depends on the original definition of cyclic cohomology developed by \n A. Connes\en \ref[Inst. Hautes Études Sci. Publ. Math. No. 62 (1985), 257--360; MR 87i:58162], and is quite technical. Similar results for cyclic homology have been obtained independently by \n R. E. Staffeldt\en \ref[Proc. Amer. Math. Soc. 95 (1985), no. 2, 191--198; MR 86m:18010]; and by \n D. Burghelea\en and \n M. Vigué-Poirrier\en \ref[Cyclic homology of commutative rings, to appear].
Masuoka, Akira
Extensions of Hopf algebras and Lie bialgebras
Trans. Amer. Math. Soc. 352 (2000), 3837-3879
Description: Matched pairs of Lie algebras. Some cohomological machinery related to them, Lie coalgebras, various duals, etc.
Availability: S0002-9947-00-02394-1.pdf
Cohomology and coquasi-bialgebra extensions associated to a matched pair of bialgebras
Adv. Math. 173 (2003), N2, 262-315
Hopf cohomology vanishing via approximation by Hochschild cohomology
Noncommutative geometry and quantum groups, Banach Center Publ. 61 (2003), 111-123
Abelian and non-abelian second cohomologies of quantized enveloping algebras
DOI: 10.1016/j.jalgebra.2008.03.034
J. Algebra 320 (2008), N1, 1-47
arXiv:0708.1982
Maszczyk, Tomasz
Maximal commutative subalgebras, Poisson geometry and Hochschild homology
math.KT/0603386, 10p.
Abstract: A Poisson geometry arising from maximal commutative subalgebras is studied. A spectral sequence convergent to Hochschild homology with coefficients in a bimodule is presented. It depends on the choice of a maximal commutative subalgebra inducing appropriate filtrations. Its E^{2}_{p,q}-groups are computed in terms of canonical homology with values in a Poisson module defined by a given bimodule and a maximal commutative subalgebra.
A pairing between super Lie-Rinehart and periodic cyclic homology
Comm. Math. Phys. 263(2006), N3, 737 - 747
Maszczyk, Tomasz and Weber, Andrzej
Koszul duality for modules over Lie algebras
Duke Math. J. 112 (2002), no.3, 511-520
Matczuk, J.
Central closure of semiprime tensor products
DOI: 10.1080/00927878208822715
Communications in Algebra, Volume 10, Issue 3 1982 , pages 263 - 278
Description: Ideals in the tensor product of algebras, one of factors is semiprime. When the tensor product of semiprime algebras is semiprime; Extended centroid of the tensor product.
Availability: 780110254.pdf
Mathai, A.M.
A pathway to matrix-variate gamma and normal densities
DOI: 10.1016/j.laa.2004.09.022
Linear Algebra and its Applications Volume 396, 1 February 2005, Pages 317-328
Abstract: A general real matrix-variate probability model is introduced here, which covers almost all real matrix-variate densities used in multivariate statistical analysis.
Mathieu, Olivier
Sur la classification de certaines algebres de Lie graduees
CRAS 299 (1984), N12, 535-537
Availability: hardcopy
Sur un probleme de V. G. Kac: La classification de certaines algebres de Lie graduees simples.
J. Alg. 102 (1986), 505-536
Zentralblatt: 0596.17012
Description: Classification of graded-simple infinite-dimensional Lie algebras all whose graded components are of dimension 1 (problem posed in Kac's book, p. 101).
Classification des algebres de Lie graduees simples de croissance <=1
DOI: 10.1007/BF01389076
Invent. Math. 86 (1986), 371-426
MR 88a:17008
Zentralblatt: 0615.17010
Availability: PPN356556735_0086__0_0.pdf
Classification of Harish-Chandra modules over the Virasoro Lie algebra
DOI: 10.1007/BF01231888
Invent. Math. 107 (1992), No.2, 225-234
Zentralblatt: 0779.17025
Description: Also related to modular Lie algebras.
Classification of simple graded Lie algebras of finite growth
DOI: 10.1007/BF02100615
Invent. Math. 108 (1992), No.3, 455-519
Zentralblatt: 0769.17018
Availability: mathieu.pdf
Homologies associated with Poisson structures
Deformation Theory and Symplectic Geometry, Kluwer, 1997
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Classification des algèbres de Lie simples
Asterisque 266 (2000), 245-286
Zentralblatt: 0990.17008
Description: A (nice) survey on classification of simple modular Lie algebras.
Availability: hardcopy
Mathonet, P.
Invariant bidifferential operators on tensor densities over a contact manifold
Lett. Math. Phys. 48, No.3, 251-261 (1999)
Zentralblatt: 0990.17019
Matsumoto, Sho and Wakayama, Masato
Alpha-determinant cyclic modules of $gl_n(C)$
arXiv:math/0508523
Journal of Lie Theory 16 (2006), No. 2, 393--405
Description: A unifying generalization of determinant and permanent.
Matsushima, Yozo
On algebraic Lie groups and algebras
J. Math. Soc. Japan 1 (1948), N1, 46-57
Collected Papers of Yozo Matsushima, World Sci., 1992, 39-
Description: A matrix Lie algebra L is called algebraic, if for every matrix A belonging to L all matrices having the same set of invariants as A, also belong to L.
Availability: hardcopy; google books
On the faithful representations of Lie groups
J. Math. Soc. Japan 1 (1949), N3, 254-
Collected Papers of Yozo Matsushima, World Sci., 1992, 51-
Description: Simplification of Cartan's analythical proof of Ado's theorem.
Availability: 1949-faithful.tar; google books
Matsuzoe, Hiroshi and Takeuchi, Jun-ichi and Amari, Shun-ichi
Equiaffine structures on statistical manifolds and Bayesian statistics
DOI: 10.1016/j.difgeo.2006.02.003
Differential Geometry and its Applications Volume 24, Issue 6 , December 2006, Pages 567-578
Mattarei, Sandro
The orders of nonsingular derivations of modular Lie algebras
Israel J. Math. 132 (2002), 265--275
Artin-Hasse exponentials of derivations
DOI: 10.1016/j.jalgebra.2005.09.008
J. Algebra 294 (2005), N1, 1-18
Zentralblatt: 1085.17003
Abstract: We show how Artin-Hasse exponentials of nilpotent derivations can be used to produce new cyclic gradings of non-associative algebras of prime characteristic from a given one. We discuss the connection with the technique of switching tori (and, consequently, the associated root space decompositions) in restricted modular Lie algebras. However, differently from toral switching, our method can produce gradings over cyclic p-groups of order higher than p. In particular, we apply it to construct cyclic gradings of the Zassenhaus Lie algebra of dimension pn, for p>3.
The orders of nonsingular derivations of Lie algebras of characteristic two
Israel J. Math. 160 (2007), 23--40
Matumoto, T.
Any group is represented by an outer automorphism group
Hiroshima Math. J. 19 (1989), 209-219
MR 90g:20051
Description: Every group is an outer automorphism group of a certain group.
Availability: absent in Icelandic libraries
Matveev, V.B. and Salle, M.A.
Darboux Transformations and Solitons
Springer, 1991
Availability: Kolkhoz
Maubach, Stefan
The Automorphism Group Of C[T]/(T^m)[X_1, ..., X_n]
Communications in Algebra, 30(2002) , Issue 2, 619 - 629
Mauldin, R. Daniel and Ulam, S. M.
Mathematical problems and games
DOI: 10.1016/0196-8858(87)90026-1
Adv. Appl. Math. 8 (1987), N3, 281-344
Description: Problem I.13 is related to whether A x ... x A ~= B x ... x B for some structures A and B (groups, algebras, etc.) implies A ~= B.
Availability: ulam.pdf
May, J.P.
The cohomology of restricted Lie algebras and of Hopf algebras
Bull. Amer. Math. Soc. 71 (1965), 372-377
Zentralblatt: 0134.19103
The cohomology of restricted Lie algebras and of Hopf algebras
J. Alg. 3 (1966), 123-146
Zentralblatt: 0163.03102
Operads, algebras and modules
Contemp. Math. 202 (1997), 15-31
Description: A survey.
Availability: hardcopy (book); amazon
Mazorchuk, Volodymyr
Verma modules over generalized Witt algebras
DOI: 10.1023/A:1000531924778
Compositio Mathematica Volume 115, Number 1 / January, 1999 Pages 21-35
Generalized Verma Modules
VNTL Publ., Lviv, 2000, 182 pp.
Some homological properties of the category O
Pacific J. Math. 232 (2007), no. 2, 313--341
arXiv:math.RT/0607589
(me)
Description: Including Ext^1's.
Availability: hardcopy; 2366357.pdf
Mazorchuk, Volodymyr and Twarock, Reidun
Virasoro-type algebras associated with a Penrose tiling
Preprint, 2002
Description: Including central extensions.
Availability: PENALG.ps
Virasoro-type algebras associated with higher-rank aperiodic point sets
Quantum theory and symmetries, 99--104, World Sci. Publ., Hackensack, NJ, 2004
Mazorchuk, Volodymyr and Zhao, Kaiming
Classification of simple weight Virasoro modules with a finite-dimensional weight space
DOI: 10.1016/j.jalgebra.2006.05.007
Journal of Algebra Volume 307, Issue 1 , 1 January 2007, Pages 209-214
Mazza, Carlo
Schur functors and motives
Preprint, June 2003
Description: Reference to Deligne's results on Young symmetrizers of tensor product.
Availability: schur.ps
Mazzola, Guerino
The algebraic and geometric classification of associative algebras of dimension five
Manuscripta Nath. 27 (1979), 81-101
Generic finite schemes and Hochschild cocycles
DOI: 10.1007/BF02566686
Comment. Math. Helv. 55 (1980), 267-293
How to count the number of irreducible components of the scheme of finite-dimensional algebra-structures
J. Algebra 78 (1982), 292-302
Gruppen und Kategorien in der Musik. Entwurf einer mathematischen Musiktheorie
Heldermann Verlag
The topos of music
Springer
Review: http://www.tomdoch.de/work/newsletter/archiv/04_03_28_01.html
Mazzoleni, Amedeo
Un The'ore`me sur H_2(GL(A); Z)
Communications in Algebra, Volume 31 , Issue 2, 609 - 632
McCleary, J.
A User's Guide to Spectral Sequences
2nd ed., Cambridge Univ. Press, 2001; paperback, 561 pp.
Availability: hardcopy (book)
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McConnell, A.J.
Applications of Tensor Analysis
Dover, 1957; paperback, 318 pp.
Availability: hardcopy (book); amazon
McConnell, J. C. and Robson, J. C. and Small, L. W.
Noncommutative Noetherian Rings
AMS, 2001
Availability: toc.tar (toc only); Kolkhoz
google books
McCoy, Neal H.
On some general commutation formulas
Amer. J. Math. 53 (1931), 710-720
Zentralblatt: 0002.11602
Jahrbuch: 57.0157.01
Description: A cumbersome formula for commutator of noncommutative polynomials.
The Theory of Rings
Macmillan, 1968
Availability: hardcopy
McCrimmon, Kevin
The Freudenthal-Springer-Tits construction revisited
DOI: 10.2307/1995054
TAMS 148 (1970), 293-314
Koecher's principle for quadratic Jordan algebras
PAMS 28 (1971), 39-43
Description: Koecher principle says, approximately, that an identity holds in all quadratic Jordan algebras iff it holds for all invertible elements. Interpreting an identity in a Jordan algebra as a simpler identity in its homotope.
Representations of quadratic Jordan algebras
DOI: 10.2307/1995560
Trans. Amer. Math. Soc. 153 (1971), 279-305
Description: Low-dimensional cohomology.
Availability: mccrimmon.pdf
Derivations and Cayley derivations of generalized Cayley-Dickson algebras
Pac. J. Math. 117 (1985), 163-182
Zentralblatt: 0588.17002
Malcev's theorem for Jordan algebras
Comm. Alg. 5 (1977), 937-967
Description: Malcev(-like) theorem(s) - about splitting into semisimple part and radical and conjugacy.
Availability: UVA
Alternative Algebras
Unpublished (and unfinished) book, late 1970s-early 1980
A Taste of Jordan Algebras
URL: http://www.springerlink.com/content/978-0-387-21796-3/ http://www.math.virginia.edu/Faculty/McCrimmon/TJAErrata0106.pdf
Springer, 2004
Availability: atoja.dvi; Kolkhoz
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McCullagh, P.
Tensor Methods in Statistics
Monographs in Statistics and Applied Probability, Chapman & Hall, London, 1987
McCullough, B. D.
Fixing Statistical Errors in Spreadsheet Software: The Cases of Gnumeric and Excel
Manuscript, 2004
McCullough, B.D. and Wilson, Berry
On the accuracy of statistical procedures in Microsoft Excel 97
DOI: 10.1016/S0167-9473(99)00004-3
Comput. Stat. Data Anal. 31 (1999), N1, 27-37
On the accuracy of statistical procedures in Microsoft Excel 2000 and Excel XP
DOI: 10.1016/S0167-9473(02)00095-6
Comput. Statist. Data Anal. 40(2002), 713-721
Availability: hardcopy
On the accuracy of statistical procedures in Microsoft Excel 2003
DOI: 10.1016/j.csda.2004.06.016
Comput. Stat. Data Anal. 49 (2005), N4, 1244-1252
McKay, W.C. and Patera, J.
Tables of dimensions, indices and branching rules for representations of simple Lie algebras
Marcel Dekker, New York (1981)
McKay, W. and Patera J. and Rand, D.W.
Tables of Representations of Simple Lie Algebras (Exceptional Simple Lie Algebras: Vol. 1)
Centrum Philadelphia; (June 1990)
McLachlan, Robert I. and Ryland, Brett
The algebraic entropy of classical mechanics
J. Math. Phys. 44 (2003), N7, 3071-3087
Abstract: We describe the "Lie algebra of classical mechanics," modelled on the Lie algebra generated by kinetic and potential energy of a simple mechanical system with respect to the canonical Poisson bracket. It is a polynomially graded Lie algebra, a class we introduce. We describe these Lie algebras, give an algorithm to calculate the dimensions cn of the homogeneous subspaces of the Lie algebra of classical mechanics, and determine the value of its entropy limn c. It is 1.825 423 774 201 08 , a fundamental constant associated with classical mechanics.
McLarty, Colin
Poor Taste as a Bright Character Trait: Emmy Noether and the Independent Social Democratic Party
DOI: 10.1017/S0269889705000608
Science in Context (2005), 18: 429-450
McLaughlin, C. and Pedersen, H. and Poon, Y.S. and Salamon, S.
Deformation of 2-step nilmanifolds with abelian complex structures
math.DG/0402069
Description: Some cohomology theory for Lie algberas with abelian complex structure (in terms of a usual J operator) and its geometric interpretation.
McNinch, G.J.
The second cohomology of small irreducible modules for simple algebraic groups
Pacific J.M. 204(2002), N2, 459-472
Description: An algebraic groups counterpart of Dzhumadildaev-Ibraev result.
Availability: 204-2-9.pdf
Semisimplicity in positive characteristic
Description: Survey of results, when tensor product of simple representations over an (algebraic) group in positive characteristic p, is semisimple. Conditions are small (with respect tp p) dimensionality of modules.
Availability: DimSurvey.ps
Medina, Alberto and Revoy, Philippe
Alge`bres de Lie et produit scalaire invariant
Ann. Sci. E'c. Norm. Supe'r. 18 (1985), 553-561
MR 87c:17011
Zentralblatt: 0592.17006
Description: Related with some second-order cohomology.
Availability: ASENS_1985_4_18_3_553_0.djvu
Alge`bres de Lie orthogonales. Modules orthogonaux
DOI: 10.1080/00927879308824678
Comm. Algebra 21 (1993), No.7, 2295-2315
Zentralblatt: 0784.17011
Description: Related with some first-order homologies.
Medori, C. and Macinovich, M.
Levi-Tanaka algebras and homogeneous CR manifolds
Compos. Math. 109(1997), 195-250
Abstract: In this paper we take up the problem of discussing CR manifolds of arbitrary CR codimension. We closely follow the general method of N.~Tanaka, while concentrating our attention to the case of manifolds endowed with partial complex structures. This study required a deeper understanding of the structure of the Levi--Tanaka algebras, which are the canonical prolongation of pseudocomplex fundamental graded Lie algebras. These algebras enjoy special properties, the understanding of which provided also a way to build up several different examples and points to a rich field of investigations. Here we restrained further our consideration to the homogeneous models.
Medvedev, Yu.A.
Representations of finitely-generated Jordan PI-algebras
DOI: 10.1070/IM1989v032n01ABEH000734
Math. USSR Izv. 32 (1989), N1, 63-76
Description: The universal multiplicative envelope of a finitely generated PI-algebra is a PI-algebra.
Availability: im734.pdf
Medvedev, Y.A. and Zel'manov, E.I.
Some counter-examples in the theory of Jordan algebras
Nonassociative Algebraic Models, Proc. Workshop Zaragoza/Spain 1989, 1992, 1-16
Zentralblatt: 0941.17504
Description: Study of infinite-dimensional Jordan algebras by means of finite-dimensional Jordan superalgebras.
Availability: absent in Iceland, CWI, VU, UVA
Mehrdad, Morteza and Heydari, Akbar and Sarbolouki, Mohammad Nabi and Etemad, Shapour
Basic science in the Islamic Republic of Iran
Scientometrics 61 (1): 79-80, 2004
Description: An apologetic article, not without facts.
Meijer, P.H.E. and Bauer, E.
Group Theory. The Application to Quantum Mechanics
North-Holland, 1962; hardcover, 288 pp.
Availability: hardcopy (book)
Meinrenken, E.
Clifford algebras and the Duflo isomorphism
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 637--642, Higher Ed. Press, Beijing, 2002
Availability: icm.ps
Melancon, Guy
Combinatorics of bases of free Lie algebras
Description: A survey.
Melikyan, Hayk
Maximal subalgebras of simple modular Lie algebras
DOI: 10.1016/j.jalgebra.2004.11.001
J. Algebra 284 (2005), N2, 824-856
Melnikov, O.V. and Remeslennikov, V.N. and Romankov, V.A. and Skornyakov, L.A. and Shestakov, I.P.
Obshchaya algebra, Vol. I
Nauka, 1990 (in Russian)
Availability: Kolkhoz; 1990-obshchaya-algebra-1.djvu
Melrose, Richard
Introduction to microlocal analysis
Draft of some lecture notes ?
Description: Chapter 7: K-Theory; Chapter 8: apparently some novel treatment of Hochschild cohomology of polynomial algebras.
Availability: intro.ps
Melville, Duncan J.
Centroids of nilpotent Lie algebras
DOI: 10.1080/00927879208824533
Comm. Alg. 20 (1992), N12, 3649-3682
Description: Centroid of indecomposable Lie algebra is a local ring. Manipulations with root systems in classical Lie algebras. Centroid of some current algebras and nilpotent parts of Kac-Moody.
Availability: 780034254_content.pdf
Centorids and Cartan algebras
DOI: 10.1080/00927879308824706
Comm. Alg. 21 (1993), N8, 2791-2818
Description: Centroids of nilpotent subalgebras of infinite-dimensional Lie algebras of Cartan type.
Availability: 780164511_content.pdf
Mencattini, Igor and Kreimer, Dirk
Insertion and elimination Lie algebra: the ladder case
DOI: 10.1023/B:MATH.0000027749.09118.a5
Letters in Mathematical Physics Volume 67, Number 1 / January, 2004 Pages 61-74
arXiv:math.QA/0308042
Description: Some amazing Virasoro-like Lie algebras ("doubly infinite of Feyman graphs"); related to gl(\infty); central extensions.
The structure of the ladder insertion-elimination Lie algebra
Comm. Math. Phys. 259 (2005), N2, 413-432
Description: Cohomology.
Mendelson, E.
Introduction to Mathematical Logic
2nd ed., Nauka, 1976 (Russian translation from Van Nostrand); hardcover, 320 pp.
Availability: hardcopy (book); Kolkhoz (Russian edition)
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Meng, Daoji
Complete Lie algebras
DOI: 10.1007/BF02886010
Chinese Science Bulletin Volume 44, Number 11 / June, 1999 Pages 961-964
Description: Sort of survey.
Meng, D. and Jiang, C.
The derivation algebra and the universal central extensions of the q-analog of the Virasoro-like algebra
Comm. Algebra 26 (1998), 1335-1346
MR 98m:17027
Meng, D. J. and Wang, S. P.
On the construction of complete Lie algebras
J. Algebra 176 (1995), no. 2, 621-637
MR 96h:17007
Availability: science.pdf
Menichi, Luc
Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
arXiv:math.QA/0311276
Abstract: We show that the Connes-Moscovici cyclic cohomology of a Hopf algebra equipped with a character has a Lie bracket of degree -2. More generally, we show that a "cyclic operad with multiplication" is a cocyclic module whose cohomology is a Batalin-Vilkovisky algebra and whose cyclic cohomology is a graded Lie algebra of degree -2. This explain why the Hochschild cohomology algebra of a symmetric algebra is a Batalin-Vilkovisky algebra.
Merkulov, S.A.
Operads, deformation theory and F-manifolds
math.AG/0210478, 39 pages
Merkulov, Sergei and Vallette, Bruno
Deformation theory of representations of prop(erad)s
arXiv:0707.0889
Max Planck Inst. Preprint MPIM2006-163
Abstract: ... As a corollary, we obtain the (co)homology theories of (al)gebras over a prop(erad) ...
Merkurjev (=Merkur'ev)
The seven-term sequence in the Galois theory of rings
Zapiski Nauchn. Sem. LOMI 74(1978), 127-142
J. Soviet Math. 37(1987), N2, 1003-
Description: Chase-Rosenberg sequence.
Availability: x56j0383u753g7m7.pdf
Merrill, Kathy D. and Walling, Lynne H.
Sums of squares over function fields
Duke Math. J. 71(1993), no.3, 665-684
Availability: 1993-duke.pdf
Merrin, Stephen
Constructing bases for radicals and nilradicals of Lie algebras
DOI: 10.2307/2160500
Proc. AMS 119 (1993), No. 3, 681-690
Description: From the constructive mathematics viewpoint.
Comm. Algebra 22 (1994), N4, 1115-1125
Merris, R.
Multilinear Algebra
Gordon and Breach, 1997
Description: Symmetry classes of tensors.
Merzbacher, E.
Quantum Mechanics
2nd ed., John Wiley & Sons, 1970; hardcover, 621 pp.
Availability: hardcopy (book)
Merzlyakov, Yu. I.
Verbal and marginal subgroups of linear groups
Sov. Math. Dokl. 8 (1967), N6, 1538-1541
Zentralblatt: 0169.03701
Availability: hardcopy
Algebraic linear groups as full groups of automorphisms and the closure of their verbal subgroups
Algebra i Logika 6 (1967), no.1, 83-94 (in Russian)
Zentralblatt: 0244.20053
Description: Any verbal subgroup of a linear algebraic group is of finite width.
Availability: hardcopy
Linear groups
DOI: 10.1007/BF01084471
Itogi Nauki i Tekhn., Alg. Top. Geom. 1970, VINITI, 75-
J. Sov. Math. 1 (1973), 571-593
Zentralblatt: 0324.20047
Description: VINITI survey.
Availability: q7016n3532265062.pdf
Linear groups
DOI: 10.1007/BF01097780
J. Sov. Math. 14 (1980), 887-921
Itogi Nauki Tekh., Algebra Top. Geom. Vol. 16, 1978, VINITI, 35-89
Zentralblatt: 0401.20042
Description: VINITI survey.
Availability: g36x12245j752030.pdf
Rational Groups
Nauka, 1980 (in Russian); hardcover with dustjacket
Availability: 1980-rational.djvu; hardcopy (book)
Meshulam, Roy
On k-spaces of real matrices
DOI: 10.1080/03081089008817963
Linear and Multilinear Algebra, Volume 26, Issue 1 & 2 January 1990 , pages 39 - 41
Description: Spaces of matrices of a fixed rank.
Mesyan, Zachary
Commutator rings
arXiv:math.RA/0509148
Bull. Austral. Math. Soc. 74 (2006), no. 2, 279--288
Description: When every element in a ring is a sum of commutators? Over any ring, every element in a ring of matrices of traces zero over that ring, is a sum of two commutators.
Metzler, Wolfgang
Aquivalenzklassen von Gruppenbeschreibungen, Identit¨aten und einfacher Homotopietyp in niederen Dimensionen
Homological group theory (Proc. Sympos., Durham, 1977, ed. C.T.C.Wall),
pp. 291-326, London Math. Soc. Lecture Note Ser., 36, Cambridge Univ. Press,
1979
Description: Some (cumbersome) notions of and results about of equivalence of presentations.
Availability: hardcopy
Meurant, Gerard
The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations
SIAM, 2006
Meyberg, Kurt
Über die Lie-Algebren der Derivationen und der linksregulären Darstellungen in zentral-einfachen Jordan-Algebren
DOI: 10.1007/BF01110869
Math. Z. 93 (1966), N1, 37-47
Eine Theorie Der Freudenthalschen Tripelsysteme, I, II
Proc. Ned. Akad. Wet. Ser. A 71 (1968), 162-190
Description: KKT construction
Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren
Math. Ann. 115 (1970), 58-78
The sum of all n-commutators in a finite group
Comm. Algebra 30 (2002), N6, 2929-2932
Description: Some results on how many commutators enough to represent an element from the group commutant.
Meyer, Carl D.
Matrix Analysis and Applied Linear Algebra
URL: http://www.matrixanalysis.com/DownloadChapters.html http://ef12517-2.tu-sofia.bg/Desislav Todorov/Frames/Books/Mathematics/Algebra/
SIAM
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Mez, Hans-Christian
Existentially closed linear groups
J. Alg. 76(1982), 84-98
Availability: hardcopy
Miah, Sirajul Haque
On the Isomorphism of Group Algebras of Groups of Order 8Q
DOI: 10.1112/jlms/s2-9.4.549
J. London Math. Soc. 1975 s2-9: 549-556
Description: Over a filed of char. 2 they are isomorphic, over a field of char. q they are not isomorphic.
Availability: 549.pdf
Michaelis, Walter
Properness of Lie algebras and enveloping algebras. I
DOI: 10.2307/2046544
PAMS 101 (1987), No.1, 17-23
Description: For a Lie algebra, intersection of its cofinite proper ideals is zero iff the same holds for its universal enveloping algebra. The same is true for restricted Lie algebras and its p-envelopes.
A class of infinite-dimensional Lie bialgebras containing a Virasoro algebra
DOI: 10.1006/aima.1994.1062
Adv. Math. 107 (1994), 365-392
Availability: science.pdf
Michalewicz, Zbigniew
Genetic Algorithms + Data Sructures = Evolution Programs
3rd, rev. ed., Springer, 1996. 387 p.
Availability: 32 EUR at Lange and Springer; Kolkhoz
Michalewicz, Zbigniew and Fogel, D.B.
How to Solve It: Modern Heuristics
Springer, 2000; hardcover, 467 pp.
Availability: hardcopy; Kolkhoz
Michéa, S. and Novitchkov, G.
BV-generators and Lie algebroids
Int. J. Math. 16 (2005), No. 10, 1175-1191
Zentralblatt: (me)
Availability: hardcopy
Michelena, Sandra and Platzeck, Mari'a Ine's
Hochschild Cohomology of Triangular Matrix Algebras
DOI: 10.1006/jabr.2000.8423
J. Algebra 233 (2000), N2, 502-525
Michler, G.
Maximal orders and deformation of modular groups algebras
Abelian Groups and Noncommutative Rings (ed. L.Fuchs et al.), Contemp. Math. 130(1992), 275-288
MR 93j:20013
Michor, Peter W.
Knit products of graded Lie algebras and groups
Suppl. Rendiconti Circolo Matematico di Palermo Ser. II 22 (1989), 171-175
arXiv:math.GR/9204220
MR 91h:17024
Zentralblatt: 954.17508
Description: Lie algebra which is the vector space direct sum of two subalgebras. Relation with Froehlicher-Nijenhuis formalism is noted!
Michor, P. and Ruppert, W. and Wegenkittl, K.
On a construction connecting Lie algebras with general algebras
Suppl. Rend. Circ. Mat. Palermo 21 (1989), 265-274
Description: Construction associating some nonassociative algebra to every Lie algebra with symmetric bilinear invariant form. Some known (non)associative algebras fit this construction.
Availability: rupp-weg.pdf; hardcopy
Mickelsson, Jouko
Star products and central extensions
math-ph/0409032
Description: Central extensions of loop groups and related algebras.
Mientka, W.E.
Professor Leo Moser - reflections of a visit
Amer. Math. Mon. 79(1972), N6, 609-614
Description: Good limericks due to Moser: about Zorn, Albert, Cech, etc.
Availability: 0-150.pdf
Mikami, K.
An Interpretation of Schouten-Nijenhuis Bracket
Noncommutative Differential Geometry and Its Applications to Physics, Kluwer
Mikhailov, Roman and Passi, Inder Bir S.
Homology of Centralizers
DOI: 10.1080/00927870701302206
Communications in Algebra, Volume 35, Issue 7 July 2007 , pages 2191 - 2207
Abstract: Given a group b.Pi, we study the group homology of centralizers b.Pig, g isin b.Pi, and of their central quotients b.Pig/lang grang. This study is motivated by the structure of the Hochschild and the cyclic homology of group algebras, and is based on Quillen's approach to the cyclic homology of algebras via algebra extensions. A method of computing the de Rham complex of a group algebra by means of a Gruenberg resolution is also developed.
Mikhalev, A.V. and Mishina, A.P.
Infoinite abelian groups: methods and results (in Russian)
Fund. Prikl. Mat. 1(1995), 319-375
Description: A survey.
Availability: 95201.ps
Mikhalev, A.V. and Pankratiev, E.V.
Differential and difference algebra
DOI: 10.1007/BF01094866
Itogi Nauki i Tekhniki. Algebra. Topologiya. Geom. Vol. 25, VINITI, 1987, 67-139
J. Math. Sci. 45 (1989), N1, 912-955
Description: Also about derivations of associative, nonassociative and Lie algebras, Lie algebras of derivations and higher derivations.
Availability: Itogi-Mikhalev-Pankratiev-DiffAlgebra-1987.{pdf,djvu}; Kolkhoz
Computernaya algebra. Vyshisleniya v differencialnoi i raznostnoi algebre
Moscow Univ., 1989 (in Russian)
Availability: Kolkhoz
Mikhalev, A.V. and Pinchuk, I.A.
Universal central extensions of the matrix Lie superalgebras sl(m,n,A)
Combinatorial and Computational Algebra, Contemp. Math. 264 (2000), 111-125
Zentralblatt: pre01578127
Universalnoe centralnoe rashirenie odnoi osoboi superalgbery Lie s nevyrozhdennoi formoi Killinga (in Russian)
Universalnaya algebra i ee prilozheniya, Volgograd, 2000, 201-221
Universal central extensions of Lie superalgebras
DOI: 10.1023/A:1022265215037
J. Math. Sci. 114 (2003), 1547-1560
Trusy Sem. I.G. Petrovskogo 22 (2002), 261-282
Description: The universal central extensions of Lie superalgebras related to simple complex Lie superalgebras having nondegenerate Killing form.
The central closure of the simple "strange" Lie superalgebras extended over a commutative algebra
DOI: 10.1007/s10958-006-0164-0
Fundam. Prikl. Mat. 9 (2003), no. 3, 125--131
J. Math. Sci. 135 (2006), N5, 3350 - 3354
Description: Central extensions of P(n-1)\otimes A are trivial.
Steinberg conformal algebras
DOI: 10.1070/SM2005v196n05ABEH000895
Sb. Math. 196 (2005), 649-671
Mat. Sb. 196 (2005), no. 5, 31--52
Abstract: A Steinberg conformal algebra is defined as an abstract algebra by a system of generators and relations between the generators. It is proved that a Steinberg conformal algebra is the universal central extension of the corresponding conformal Lie algebra; the kernel of this extension is calculated.
Steinberg conformal superalgebras
DOI: 10.1007/s10958-008-9056-9
Journal of Mathematical Sciences Volume 152, Number 2 / July, 2008 Pages 268-273
Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 8, pp. 189-196, 2006
Mikhalev, Alexander A. and Shpilrain, Vladimir and Umirbaev, Ualbai U.
On isomorphism of Lie algebras with one defining relation
DOI: 10.1142/S0218196704001773
Intern. J. Algebra Comput. 14 (2004), No.3, 389-393
MR 2075159
Description: Outline of Tietze transformations for Lie algebras. If L(X)/I and L(X)/J are isomorpjic, then ideals in L(X,Y) generated by I,Y and J,Y are isomorphic, where Y is a set of free generators having the same cardinality as X.
Availability: hardcopy
Mikhalev, Alexander A. and Shpilrain, Vladimir and Yu, Jie-Tai
Combinatorial problems about free groups and algebras
arXiv:math.GR/9711202
Lie algebras, rings and related topics, Springer, 2000, 80-127
Description: A survey: automorphisms, jacobian, test elements, etc.
Availability: hardcopy
On the dynamic of homomorphisms of free algebras
Description: Survey about automorphisms and related questions of free algebras (including Lie); big bibliography.
Availability: Mikhalev.ps
Combinatorial Methods. Free Groups, Polynomials, and Free Algebras
Springer, 2004, 315 pp.
Abstract: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology at the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).
Availability: 90EUR
Mikhalev, A.A. and Shpilrain, V.E. and Zolotykh, A.A.
Subalgebras of free algebras
PAMS 124 (1996), N7, 1977-1984
Zentralblatt: 0860.17004
Description: Properties of Jacobian matrix in free Lie alg, including a brief historical survey.
Availability: S0002-9939-96-03593-9.ps; hardcopy
Mikhalev, Alexander A. and Umirbaev, Ualbai and Yu, Jie-Tai
Automorphic orbits in free non-associative algebras
DOI: 10.1006/jabr.2001.8794
J. Algebra 243 (2001), no.1, 198-223
Generic, almost primitive and test elements of free Lie algebras
Proc. Amer. Math. Soc. 130 (2002), 1303-1310
MR 2002k:17011
Zentralblatt: pre01721032
Description: An element a in a free Lie algebra L is test element iff \varphi(a)=a for endomorphism \varphi of L implies that \varphi is an automorphism. Contains many references to earlier articles.
Mikhalev, A.A. and Umirbaev, U.U. and Zolotykh, A.A.
An example of a non-free Lie algebra of cohomological dimension 1
DOI: 10.1070/RM1994v049n01ABEH002199
Rus. Math. Surv. 49 (1994), No.1, 254
Zentralblatt: 834.17037
Availability: hardcopy
A Lie algebra with cohomological dimension one over a field of prime characteristic is not necessarily free
First international Tainan-Moscow algebra workshop, de Gruyter, 1996, 257-264
Zentralblatt: 866.17015
Description: A concrete (3-generated) example and several related conjectures.
Availability: hardcopy
Mikhalev, A. A. and Yu, J.-T.
Test elements and retracts of free Lie algebras.
Commun. Algebra 25 (1997), 3283-3289.
MR 98i:17004
Test elements, retracts and automorphic orbits of free algebras.
Internat. J. Algebra Comput. 8 (1998), 295-310.
MR 99h:17002
Primitive, almost primitive, test, and \Delta-primitive elements of free algebras with the Nielsen-Schreier property.
J. Algebra 228 (2000), 603-623.
MR 2001f:17007
Availability: scie.pdf
Mikhalev, A.A. and Zolotykh, A.A.
Endomorphisms of free Lie algebras preserving primitivity of elements are automorphims
Rus. Math. Surv. 48 (1993), N6, 189-190
Rank and primitivity of elements of free color Lie (p-)superalgebras
Intern. J. Algebra Comput. 4 (1994), 617-656
MR 95k:17003
The rank of an element of a free Lie p-superalgebra
Doklady Russian Acad. Sci. 49 (1994), N1, 189-
Availability: hardcopy
Test elements for monomorphisms of free Lie algebras and superalgebras
Comm. Algebra 23 (1995), 4995-5001
MR 96g:17002
Combinatorial Aspects of Lie Superalgebras
CRC Press, 1995; hardcover, 260 pp.
MR 97j:17006
Availability: hardcopy (book)
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Algorithms for primitive elements of free Lie algebras and Lie superalgebras
Proc. 1996 Int. Symp. Symb. Alg. Comp., ACM, 1996, 161-169
Availability: p161-mikhalev.pdf
Mikhalev, A.A.
Embedding of Lie superalgebras of countable rank in Lie superalgebras with two generators
Rus. Math. Surv. 45(1990), N6, 162-163
Zentralblatt: 0742.17026
Availability: UVA
Free color Lie superrings
Soviet Math. (Izv. VUZ) 35(1991), N10, 46-49
Zentralblatt: 0744.17033
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