[A]
[B]
[C]
[D]
[E]
[F]
[G]
[H]
[I]
[J]
[K]
[L]
[M]
[N]
[O]
[P]
[Q]
[R]
[S]
[T]
[U]
[V]
[W]
[X]
[Y]
[Z]
[NOAUTHORS]
Saad, Yousef
Numerical Methods for Large Eigenvalue Problems
Manchester U. Press, 1992
Availability: absent on amazon
Iterative Methods for Sparse Linear Systems
2nd ed., January 3, 2000
Availability: sparse-lin-systems.pdf
a
m
a
z
o
n
|  |
Saari, Donald G.
Mathematical Complexity of Simple Economics
Notices of the AMS February 1995
Abstract: The "invisible hand" of Adam Smith guides economies to stable equilibria. Or does it? Such equilibria exist for a simple model of exchange of n >= 2 goods among n agents, but it is shown, even under the most natural of assumptions, that there always are initial endowments which lead to chaotic dynamics.
Availability: "Notices" site
Sabbagh, G.
Aspects logiques de la purete dans les modules
C. R. Acad. Sci. Paris 271 (1970), 909-912
Zentralblatt: 0202.00901
Description: Direct sum and direct product of modules are elementary equivalent.
Sabbagh, Gabriel and Eklof, Paul
Definability problems for modules and rings
DOI: 10.2307/2272466
J. Symb. Logic 36 (1971), No. 4, 623-649
Description: Elementary equivalence of direct sums and direct products of modules.
Availability: 1971-definability.pdf
Sabinin, Lev V.
amazon">Smooth Quasigroups and Loops
Kluwer, 1999
Availability: Kolkhoz
Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
Kluwer/Springer, 2004
Description: Funny verses and pictures.
Availability: Kolkhoz
a
m
a
z
o
n
|  |
Sachs, L.
Angewandte Statistik
5th ed., Springer, 1978; paperback, 552 pp.
a
m
a
z
o
n
|  |
Sacks, G.E.
Saturated Model Theory
Mir, 1976 (Russian translation from W.A.Benjamin, 1972); paperback, 190 pp.
Availability: hardcopy (book); amazon; absent on ozon
Sadetov, S.T.
On extensions of Lie algebras by means of the Heisenberg algebra
Math. Notes 78 (2005), N5-6, 693 - 695
Description: Description in some cohomological terms.
On rational isomorphisms of Lie algebras
DOI: 10.1007/s10688-007-0004-0
Funktsional. Anal. i Prilozhen. 41 (2007), no. 1, 52--65
Sagan, Bruce E.
The ubiquitous Young tableau
Invariant Theory and Tableaux, IMA Volumes in Math. and its Applications, Vol. 19, Springer, 1990, 262-298
Description: A survey.
Availability: uyt.ps; hardcopy
The Symmetric Group
2nd ed., Springer, 2001, 255pp.
Availability: google books
a
m
a
z
o
n
|  |
Sageev, Michah and Wise, Daniel T.
The Tits alternative for CAT(0) cubical complexes
math.GR/0405022
Abstract: We prove a Tits alternative theorem for groups acting on CAT(0) cubical complexes.
Sagi, Gabor
Ultraproducts and higher order formulas
Math. Logic Quart. 48(2002), 261-275
Availability: opr01IJ6.pdf
Sagi, Gabor and Shelah, Saharon
On topological properties of ultraproducts of finite sets
Math. Log. Q. 51 (2005), no. 3, 254--257
Description: Relates ultraproducts and second-order logic.
Sagle, Arthur A.
A relationship between semi-magic squares and permutation matrices
Amer. Math. Monthly 64 (1957), No.9, 658-659
Description: The algebra formed by all semi-magic squares of given order coincides with algebra generated by permutation matrices.
Availability: 1957-relationship.pdf
Malcev algebras
DOI: 10.2307/1993472
TAMS 101 (1961), No.3, 426-458
Description: 7-dimensional simple Malcev algebra arising from octonions.
Availability: 1961-malcev.pdf
On anti-commutative algebras with an invariant form
Can. J. Math. 16 (1964), 370-378
Zentralblatt: 0136.02003
Description: Every anticommutative algebra with symmetric bilinear invariant form is a minus-algebra of a noncommutative Jordan algebra.
Availability: google books; 1964-anticommutative.tar
Remarks on simple extended Lie algebras
Pac. J. Math. 15 (1965), 613-620
MR 0190199
Zentralblatt: 0134.27001
Description: Anticommutative algebras with identity J(x,y,xy) = 0 (binary-Lie?)
On simple extended Lie algebras over fields of charcteristic zero
Pacific J. Math. 15 (1965), 621-648
Description: Anticommutative algebras with identity J(x,y,xy) = 0.
On simple algebras obtained from homogeneous Lie triple systems
Pacific J. M. 15 (1965), N4, 1397-1400
Zentralblatt: 0241.17007
Description: Anticommutative algebras with identity J(x,y,z)w = J(w,z,xy) + J(w,y,zx) + J(w,x,yz) (later dubbed as "Sagle algebras"). Such simple algebras having a diagonalizable element are Lie. Later this was generalized by Filippov.
Availability: hardcopy
On anti-commutative algebras and homogeneous spaces
J. Math. Mech. 16 (1967), 1381-1393
Zentralblatt: 0172.46601
A note on simple anti-commutative algebras obtained from reductive homogeneous spaces
Nagoya Math. J. 31 (1968), 105-124
MR 0248289
Zentralblatt: 0155.07101
A note on triple systems and totally geodesic submanifolds in a homogeneous space
Nagoya Math. J. 32 (1968), 5-20
MR 0231945
Zentralblatt: 0159.51601
On homogeneous spaces, holonomy, and non-associative algebras
Nagoya Math. J. 32 (1968), 373-394
MR 0231946
Zentralblatt: 0159.51503
On reductive Lie admissible algebras
Can. J. Math. 23 (1971), 325-331
Zentralblatt: 0193.34104
Description: L - Lie algebra; L = M + H (direct), [M,H] \in M; multiplication on M arising in that way.
Availability: google books
Nonassociative algebras and Lagrangian mechanics on homogeneous spaces
AGG 2 (1985), 478-494
Availability: hardcopy
Invariant Lagrangian mechanics, connections, and nonassociative algebras
AGG 3 (1986), 199-263
Availability: CWI
Sagle, A. and Schumi, J.
Anti-commutative algebras and homogeneous spaces with multiplications
Pac. J. Math. 68 (1977), 255-269
MR 0470903
Zentralblatt: 0362.53042 0362.53042
Sagle, A. and Winter, D.J.
On homogeneous spaces and reductive subalgebras of simple Lie algebras
DOI: 10.2307/1994523
Trans. Am. Math. Soc. 128 (1967), 142-147
Zentralblatt: 0153.04502
Availability: 0-150.pdf
Saito, Morihiko
D-modules on analytic spaces
Preprint, 1989
Availability: hardcopy
Saito, M. and Sturmfels, B. and Takayama, N.
Gröbner Deformations of Hypergeometric Differential Equations
Springer, 2000; hardcover, 254 pp.
Availability: hardcopy (book)
Sakamoto, Takanori
Countably recognizable classes of Lie algebras
Bull. Fukuoka Univ. Educ., Part III 46(1997), 1-9
Zentralblatt: 0909.17014
Description: A class X of Lie algebras is a countably recognizable class of a Lie algebra L \in X whenever any subset x of L with |x| \leq \aleph_0 is contained in an X-subalgebra of L. The classes of Lie algebras with the following properties are countably recognizable: hypercentral, hyperabelian, soluble, nilpotent, Fitting, Baer, ideally finite, satisfying the maximal conditions on ideals, satisfying the minimal conditions on ideal, and related conditions on subideals.
Salamon, S.M.
Differential geometry of quaternionic manifolds.
Ann. Sci. École Norm. Sup. 19(1986), no. 1, 31-55.
MR 87m:53079
Description: "Some beautifully explained ideas from the theory of prolongations of G-structures"
Complex structures on nilpotent Lie algebras
DOI: 10.1016/S0022-4049(00)00033-5
J. Pure Appl. Alg. 157 (2001), N2-3, 311-333
math.DG/9808025
Abstract: We classify real six-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures.
Salemkar, Ali Reza and Alamian, Vahid and Mohammadzadeh, Hamid
Some properties of the Schur multiplier and covers of Lie algebras
DOI: 10.1080/00927870701724193
Comm. Algebra 36 (2008), no. 2, 697--707
Description: Seems to be quite elementary reasonings around Hopf formula, subalgebras, centers, etc.
Availability: 791983113_content.pdf
Saletan, Eugene J.
Contraction of Lie groups
DOI: 10.1063/1.1724208
J. Math. Phys. 2 (1961), N1, 1-21; Erratum: 1961, p. 742?
Availability: 1961-contractions.pdf
Salgado, G. and Sánchez-Valenzuela, O.A.
Lie Superalgebras Based on gl_n Associated to the Adjoint Representation, and Invariant Geometric Structures Defined on Them
Communications in Mathematical Physics Volume 241, Numbers 2-3 October 2003 Pages: 505 - 518
Description: parametric families, dependent on n
Salinelli, Ernesto and Sgarra, Carlo
Correlation matrices of yields and total positivity
Linear Algebra and its Applications Volume 418, Issues 2-3 , 15 October 2006, Pages 682-692
Abstract: It has been empirically observed that correlation matrices of forward interest rates have the first three eigenvalues which are simple and their corresponding eigenvectors, termed as shift, slope and curvature respectively, with elements presenting changes of sign in a regular way. These spectral properties are very similar to those exhibited by Strictly Totally Positive and Oscillatory matrices. In the present paper we investigate how these spectral properties are related with those characterizing the correlation matrices considered, i.e. the positivity and the monotonicity of their elements. On the basis of these relations we prove the simplicity of the first two eigenvalues and provide an estimate of the second one.
Sallee, G.T.
Polytopes, valuations, and the Euler relation
circa 1967
Description: has something to do with the Euler-Poincare characteristic in the general setting.
Availability: hardcopy
Saltman, David J.
Lectures on Division Algebras
AMS, 1999
Availability: 18$
Salwa, A.
Simple Artinian rings as sums of nilpotent subrings
DOI: 10.1007/s00013-002-8257-6
Arch. Math. 78 (2002), No.5, 350-357
Zentralblatt: 1009.16022
Description: Any algebra can be embedded into a simple algebra which is a sum of 3 nilpotent subalgebras (generalization of Bokut' result).
Availability: 2002-simple.pdf
Samelson, H.
">Notes on Lie Algebras
Van Nostrand Reinhold Co., 1969; paperback, 165 pp.
Availability: liealgeb.pdf (3rd corrected ed.); hardcopy (1st ed.); amazon
Sanchez, Robersy and Barreto, Jesus and Morgado, Eberto and Grau, Ricardo
Abelian Finite Group of DNA Genomic Sequences
q-bio.QM/0512042
Sanchez-Flores, Selene
The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero
arXiv:0711.2810
Sanchez, Robersy and Grau, Ricardo and Morgado, Eberto
The genetic code boolean lattice
MATCH Commun. Math. Comput. Chem. 52 (2004), 29-46
Availability: hardcopy
A new DNA sequence vector space on a genetic code Galois field
Availability: hardcopy
Gene algebra from a genetic code algebraic structure
DOI: 10.1007/s00285-005-0332-8
J. Math. Biology 51 (2005), N4, 431-457
arXiv:q-bio/0412033
A novel Lie algebra of the genetic code over the Galois field of four DNA bases
DOI: 10.1016/j.mbs.2006.03.017
Mathematical Biosciences Volume 202, Issue 1, July 2006, Pages 156-174
arXiv:q-bio.QM/0501036
Availability: hardcopy (arXiv version, under the names of Sanchez and Grau)
Sanders, Jan A.
Normal form in filtered Lie algebra representations
Acta Appl. Math. 87 (2005), N1-3, 165-189
Description: Spectral sequences.
Availability: U3373640660452N7.pdf
Sanielevici, S.
Opera Matematica
Editura Acad. Rep. Soc. Romania, Bucuresti, 1963; hardcover, 295 pp.
Availability: hardcopy (book)
Santharoubane, L.J.
Cohomology of Heisenberg Lie algebras
Proc. AMS 87 (1983), No.1, 23-28.
Zentralblatt: 0509.17006
Description: Approach via Euler-Poincare characteristic.
Availability: 0-150.pdf; hardcopy
Kac-Moody Lie algebras and the universal element for the category of nilpotent Lie algebras
DOI: 10.1007/BF01457137
Math. Ann. 263 (1983), 365-370
Zentralblatt: 0495.17012
Infinite families of nilpotent Lie algebras
J. Math. Soc. Japan 35 (1983), 515-519
Zentralblatt: 0489.17003
Description: Including 2-cohomology.
The second cohomology group for Kac-Moody Lie algebras and Kaehler differentials
DOI: 10.1016/0021-8693(89)90290-1
J. Alg. 125 (1989), 13-26
MR 90k:17045
Description: Relation between complexes C^*(L,M) and C^*(L,C^*(L,M)).
Availability: hardcopy
Santos, Jose Carlos de Sousa Oliveira
Homologically induced sl(1,2)-modules
Algebras, rings and their representations, World Sci. Publ., 2006, 329--342
Santosuosso, G.
Sul trasporto ad un ultraprodotto di anelli di proprieta dei suoi fattori
Rend. Mat., VI. Ser. 1, 82-99 (1968)
Zentralblatt: 0186.34701
Sapir, Mark V.
Algorithmic and asymptotic properties of groups
arXiv:math.GR/0602215
Proceedings of ICM in Madrid, 2006, Vol. 2, 223-244
Abstract: This is a survey of the recent work in algorithmic and asymptotic properties of groups. I discuss Dehn functions of groups, complexity of the word problem, Higman embeddings, and constructions of finitely presented groups with extreme properties (monsters).
Some group theory problems
DOI: 10.1142/S0218196707003925
arXiv:0704.2899
Intern. J. Algebra Computation 17 (2007), N5/6, 1189-1214
Description: A survey, including monsters.
Sapozhnikov, P. N.
Application of algebraic properties of statistical models to deriving distributions of statistics
DOI: 10.1007/BF02362493
Journal of Mathematical Sciences Volume 81, Number 4 / September, 1996 Pages 2860-2868
Availability: 1996-application.pdf
Sati, Hisham and Schreiber, Urs and Stasheff, Jim
L-infinity algebra connections and applications to String- and Chern-Simons n-transport
Hopf archive preprint, 2008
Description: Generalizations of Baez-Crans description of 2-Lie algebras in terms of 3-cohomology of ordinary Lie algebras to n-Lie algebras.
Sato, Terukiyo
The derivations of the Lie algebras
DOI: 10.2748/tmj/1178242684
Tohoku Math. J. (2) Volume 23, Number 1 (1971), 21-36.
MR 0288156
Zentralblatt: 0253.17012
Nonimbedding theorems of Lie algebras
Hiroshima Math. J. 2 (1972), 15--18
MR 48#2204
Zentralblatt: 0284.17003
On generators of Lie algebras
Hiroshima Math. J. 4 (1974), 29-51
Description: Various results about minimal number of generators of a finite-dimensional Lie algebra, p=0.
Availability: UVA
Satoh, T.
TWISTED SECOND COHOMOLOGY GROUP OF A FINITELY PRESENTED GROUP
Kokyuroku RIMS (?) 2004
Description: Method of calulation of H^2(G,M) from a presentation of a group G, with allusion to Hopf formula for H_2(G,K).
Availability: 1393-16.pdf
Saul, Mark
Kerosinka: An Episode in the History of Soviet Mathematics
Notices AMS, November 1999
Vershik, A.M. and Saveliev, M.V.
Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)
DOI: 10.1007/BF02125130
Comm. Math. Phys. 126 (1989), N2, 367-378
MR 1027502
Zentralblatt: 0691.17012
New examples of continuum graded Lie algebras
DOI: 10.1016/0375-9601(90)90662-8
Phys. Lett. A 143 (1990), No.3, 121-128
Description: Contractions.
Availability: 1990-new.pdf (published version)
A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems
DOI: 10.1007/3-540-53763-5_55
Differential Geometric Methods in Theoretical Physics, Lect. Notes Phys. 375 (1991), 162-170
MR 92h:17024
Availability: 1991-new.pdf
New examples of continuum graded algebras
Contemp. Math. 131 Part 2 (1992), 123-133
MR 93h:17070
Availability: hardcopy (book)
Schaefer, Helmut H.
Eine Bemerkung zur Existenz invarianter Teilräume linearer Abbildungen
Math. Z. 82 (1963), 90
MR 27#4815
Abstract: 2-lines proof that any linear endomorphism of an infinite-dimensional vector space over an arbitrary field admits a non-trivial invariant subspace. The result should be contrasted with the finite-dimensional case.
Availability: schaefer.pdf; hardcopy
Schafer, R.D.
Inner derivations of non-associative algebras
Bull. Amer. Math. Soc. 55 (1949), 769-776
Description: This is probably treatment of inner derivations as in Schafer's book (i.e. those belonging to Lie multiplication algebra), but who knows...
On the algebras formed by the Cayley-Dickson process
DOI: 10.2307/2372583
Amer. J. Math. 76 (1954), 435-446
MR 15#774d
Zentralblatt: 0059.02901
Description: Derivations of the Cayley-Dickson algebras.
Nodal noncommutative Jordan algebras and simple Lie algebras of characteristic p
DOI: 10.2307/1993314
TAMS 94 (1960), No.2, 310-326
Description: Algebras are nodal, if each element is of the form 1 + n, n - nilpotent (think about reduced polynomial ring). Derivations of such algebras are studied.
Availability: 0-150.pdf
An Introduction to Nonassociative Algebras
Dover, 1995 (slightly corrected republication of Academic Press, 1966); paperback
Availability: hardcopy (book)
a
m
a
z
o
n
|  |
Schafer, R.D. and Tomber, M.L.
A new simple Lie algebra of characteristic 2
Abstract of talk presented to AMS meeting, BAMS January 1954, p. 25
Availability: hardcopy
On a simple Lie algebra of characteristric 2
Lie Algebras and Lie Groups, Mem. AMS 14 (1955), 11-14
Schappacher, N.
Das Mathematische Institut der Universität Göttingen 1929-1950
Die Universität Göttingen unter dem Nationalsozialismus. Das Bedrängte Kapital ihrer 250-Jährigen Geschichte, Munich K. G. Saur, 1987, pp. 345-373
Schappacher, N. and Scholz, E.
Oswald Teichmüller - Leben und Werke
Jahresber. Deutsch. Math.-Verein. 94 (1992), 1-35
Schaps, M.
Deformations of finite dimensional algebras and their idempotents
DOI: 10.2307/2001202
TAMS 307 (1988), No.2, 843-856
Description: Associative algebras.
Availability: 12.pdf
Integral and p-modular semisimple deformations for p-solvable groups of finite representation type
J. Austral. Math. Soc. Ser. A 50 (1991), 213-232
MR 92b:16067
A modular version of Maschke's theorem for groups with cyclic p-Sylow subgroups
J. Alg. 163 (1994), 623-635
MR 95b:20015
Scharlau, Winfried
Quadratic Forms
Queen's Papers Pure Appl. Math., No. 22, Queen's Univ., Kingston, Ontario, 1969;
Description: Notion of a graded Brauer group (related to those of C.T.C.Wall).
Involutions on simple algebras and orders
CMS Conf. Proc. 4 (1984), 141-
Description: A survey.
Availability: 141.png (first page only)
google books
Quadratic and Hermitian Forms
Springer, 1985
Zentralblatt: 0584.10010
Description: Chapter 8: algebras with involutions.
Availability: amazon
Schatten, Robert
A Theory of Cross-Spaces
Princeton Univ. Press, 1950; paperback, 153 pp.
Description: Interesting tensor product considerations.
Availability: hardcopy (book)
Norm Ideals of Completely Continuous Operators
Springer, 1960, 81 pp.
Availability: hardcopy (book)
Schechtman, Vadim
Definitio nova algebroidis verticiani (in Latin)
Studies in Lie theory, 443--494, Progr. Math., 243, Birkhauser, 2006
Description: Some homological mumbo-jumbo.
Availability: 271.pdf
Schechtman, Vadim V. and Varchenko, A.N.
Arrangements of hyperplanes and Lie algebra homology
Inv. Math. 106(1991), 139-194
Description: Cohomology of nilpotent subalgebras of Kac-Moody algebras.
Scheiderer, Claus
Intersections of maximal subalgebras in Lie algebras
DOI: 10.1016/0021-8693(87)90192-X
J. Algebra 105 (1987), 268-270
Description: Lie algebras with given properties of the lattice of subalgebras. Pretty elementary.
Availability: VU
Schein, Boris M.
Eduard Grigorievich Shutov
DOI: 10.1007/BF02573615
Semigroup Forum Volume 25, Number 1 / December, 1982 Pages 387-394
Description: An account of history of semigroup theory in USSR.
Availability: 1982-shutov.pdf
Schenck, Hal
Computational Algebraic Geometry
Cambridge Univ. Press, 2003
Description: Interesting.
Availability: Kolkhoz
Schenkman, Eugene
A theory of subinvariant Lie algebras
DOI: 10.2307/2372187
AJM 73 (1951), 453-474
Description: Every subinvariant subalgebra (aka subideal) is a sum of ideal and nilpotent algebra. If p=0, a solvable subinvariant subalgebra is contained in the radical, and nilpotent subinvariant subalgebr is contained in the nil-radical..
Availability: 0-150.pdf
Some criteria for nilpotency in groups and Lie algebras
DOI: 10.2307/2036454
PAMS 21 (1969), No.3, 714-718
A factorization theorem for groups and Lie algebras
DOI: 10.2307/2041760
Proc. Amer. Math. Soc. 68 (1978), no.2, 149-152
MR 57#9773
Zentralblatt: 0376.20023
Description: Theorem 2: Let A,B,C be abelian subrings of a Lie ring L, such that L=A+B+C and AB\subseteq A, BC\subseteq B, AC\subseteq C; then the second derived subalgebra of L is nilpotent of class at most 3.
Availability: Schenkman.pdf
Schensted, I.V.
A course on the applications of group theory to quantum mechanics
NEO Press, 1976
Description: A pedetsrian description of representatations of S_n and Young diagrams. Very useful in working out concrete examples (initially was recommended by Steve Shnider in the context of the "Young tableaux" spectral sequence).
Availability: pp. 122-165 only (in books)
Scherk, John
Algebra. A computational introduction
Chapman & Hall/CRC, 2000,336pp
2001i:
Description: Mathematica
Availability: 69.95$
Scheunert, M.
Generalized Lie algebras
J. Math. Phys. 20 (1979), 712-720.
MR 80f:17007
Description: Including Ado Theorem.
Availability: hardcopy; art.pdf
The theory of Lie superalgebras. An introduction.
LNM 716 (1979), 271 pp.
MR 80i:17005
Availability: hardcopy (book)
Graded tensor calculus
J. Math. Phys. 24 (1983), 2658-2670
Zentralblatt: 0547.17003
Description: Analog of a linear algebra for color Lie algebras settings.
Availability: JMP02658.pdf; hardcopy
Casimir elements of e-Lie algebras
J. Math. Phys. 24 (1983), 2671-
Availability: JMP02671.pdf
Serre type presentation of special linear Lie superalgebras
Quantum symmetries (Clausthal, 1991), 259--263, World Sci., 1993
MR 96e:17014
Serre type relations for special linear Lie superalgebras
Preprint BONN-HE-91-10, May 1991. 8pp
Lett. Math. Phys. 24 (1992), 173-182
Introduction to the cohomology of Lie superalgebras and some applications
Recent Advances in Lie Theory (eds. I. Bajo, E. Sanmartin), 2002, 77--108
Availability: hardcopy (book)
Scheunert, M. and Zhang, R.B.
Cohomology of Lie superalgebras and of their generalizations
DOI: 10.1063/1.532508
arXiv:q-alg/9701037
J. Math. Phys. 39 (1998), 5024-5061
Description: Also universal central extensions.
Availability: hardcopy
The second cohomology of sl(m|1) with coefficients in its enveloping algebra is trivial
DOI: 10.1023/A:1007588610353
arXiv:math.QA/9805034
Lett. Math. Physics 47 (1999), N1, 33-48
Description: H^1,2 of sl(m|1) with coeffs in finite-dimensional irreducible modules.
Schiff, Jeremy and Shnider, Steve
Lie groups and error analysis
J. Lie Theory 11(2001), No.1, 231-254
Zentralblatt: 0976.65048
Schilling, F.
Die Pseudosphäre und die nichteuklidische Geometrie
Teubner, Leipzig und Berlin, 1931; paperback, 69 pp.
Availability: hardcopy (book)
Schilling, O.F.G.
Automorphisms of fields of formal power series
BAMS 50 (1944), 892-901
Description: Automorphisms of general Lie algebra of Cartan type.
Schleimer, Saul
On the girth of groups
Preprint, 2000 (?)
Availability: girth.pdf (version of June 8, 2003); hardcopy (version of March 7, 2001)
Schlichenmaier, Martin
An Introduction To Riemann Surfaces, Algebraic Curves and Moduli Spaces
Lect. Notes Phys. 322 (1989)
Availability: Kolkhoz; absent on amazon
Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type
J. Reine Angew. Math. 559 (2003), 53-94
arXiv:math.QA/0112116
Higher genus affine algebras of Krichever-Novikov type
Moscow Math. J. 3 (2003), no. 4, 1395-1427
arXiv:math.QA/0210360
Description: A question which central extensions of the current Lie algebra g \otimes A via A comes from the Riemann surface with punctures, are local, is elucidated. From the point of view of algebraic second cohomology, not very interesting.
Higher genus affine Lie algebras of Krichever-Novikov type
arXiv:math.QA/0510440
Description: A short survey (of previous works).
Schlichenmaier, Martin and Sheinman, Oleg K.
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras
DOI: 10.1070/RM1999v054n01ABEH000122
Russ. Math. Surv. 54 (1999), N1, 213-249
math.QA/9812083 (under the slightly different title)
Zentralblatt: 0943.17019
Availability: shl05401.ps
Knizhnik-Zamolodchikov equations for positive genus and Krichever-Novikov algebras
DOI: 10.1070/RM2004v059n04ABEH000760
Russ. Math. Surv. 59 (2004), N4, 737-770
arXiv:math.AG/0312040 (under the different title)
Zentralblatt: (me)
Availability: hardcopy
Central extensions of Lax operator algebras
arXiv:0711.4688
Schmid, Rudolf
A few BRST bicomplexes
21th International Conference on Differential Geometric Methods in Mathematical Physics (ed. C.N. Yang et al.), World Scientific, 1993, 375-379
Description: Construtions of BRTST complex, Weil complex and few related.
Infinite dimensional Lie groups with applications to Mathematical Physics
J. Geom. Symm. Phys. 1 (2004), 1-67
Description: A survey. Explanation what usual finite-dimensional results fail in infinite-dimensional case.
Schmidt, E.T.
Kongruenzrelationen Algebraischer Strukturen
VEB Deutscher Verlrag der Wissenschaften, Berlin, 1969; paperback, 108 pp.
Availability: hardcopy (book); absent on amazon
Schmidt, O.U.
O beskonechnykh specialnykh gruppakh
Mat. Sbornik 8 (1940), N3, 363-375
Description: A group is called special if all its proper subgroups do not coincide with its normalizer.
Abstract Theory of Groups
Freeman and Co., 1966
Availability: Kolkhoz; absent on amazon
Schmidt, Roland
Subgroup Lattices of Groups
de Gruyter, 1994
Availability: google books
L-free groups
Illinois J.M. 47 (2003), N1/2, 515-528
Description: Finite groups whose lattice of subgroups does not contain a given sublattice.
Availability: schmidt.ps
Schneider, Baruch and Shapiro, Michael
Some properties of the Cauchy-type integral for the time-harmonic relativistic Dirac equation
Math. Methods Appl. Sci. 25 (2002), No.16-18, 1441-1463
Zentralblatt: 1016.81018
Availability: schneider_shapiro_Dirac.pdf
Some properties of the Cauchy-type integral for the time-harmonic Maxwell equations
Integral Equations Oper. Theory 44 (2002), No.1, 93-126
Zentralblatt: 1020.30052
Availability: hardcopy
Some properties of the quaternionic Cauchy-type integral for a piece-wise Liapunov surface of integration
Contemp. Math. 364 (2004)
Availability: hardcopy
Schneider, Baruch
The behaviour of the Clifford-Cauchy-type integral on a non-smooth surface of integration
J. Nat. Geom. 11, No.1, 1-16 (1997)
Zentralblatt: 0872.30025
Schneider, Csaba
Computing nilpotent quotients in finitely presented Lie rings
Discrete Math. Theor. Comp. Sci. 1 (1997), 1-16
Description: An algorithm.
Availability: dm010101.ps
A computer-based approach to the classification of nilpotent Lie algebras
Experimental Math. 14 (2005), N2, 153-
arXiv:math.RA/0406365
Description: Enumeration of low-dimensional. GAP.
Schneps, Leila
On the Poisson bracket on the free Lie algebra in two generators
J. Lie Theory 16 (2006), No. 1, 019--037
Schöbel, Carsten
A classification of real finite-dimensional Lie algebras with a low- dimensional derived algebra
Rep. Math. Phys. 33, No.1-2, 175-186 (1993)
Zentralblatt: 0827.17006
Schocker, Manfred
Embeddings of higher Lie modules
J. Pure Appl. Algebra 185(2003), N1-3, 279-288
Zentralblatt: 1048.20030
Abstract: The higher Lie modules of the general linear group GL(V) over a finite dimensional vector space V arise naturally from the Poincaré-Birkhoff-Witt basis of the tensor algebra over V. They are indexed by partitions. For the higher Lie modules corresponding to hook partitions of n a complete chain of embeddings is obtained. As an application, a new inductive proof of Klyachko's result on the irreducible components of the classical Lie module is given. Additionally, all irreducible components of multiplicity 1 are determined.
Schoenberg, I.J.
Metric Spaces and Completely Monotone Functions
DOI: 10.2307/1968466
The Annals of Mathematics, 2nd Ser., Vol. 39, No. 4 (Oct., 1938), pp. 811-841
Description: This supposed to say something about characterization of correlation/covariance, but it apparently does not, so this is just a random old analytic paper.
Availability: 1938-metric.pdf
Schouten, J.A.
Tensor Analysis for Physicists
2nd ed., Dover, 1989; paperback, 277 pp.
Availability: hardcopy (book); Kolkhoz (Russian edition)
a
m
a
z
o
n
|  |
Schoutens, Hans
Asymptotic homological conjectures in mixed characteristic
J. AMS
arXiv:math.AC/0303383
Description: Could be instrumental in deriving relationship between homological properties of algebras and their ultraproducts.
Schubert, H.
Kategorien, I, II
Akademie-Verlag, Berlin, 1970; paperback, 160 + 148 pp.
Availability: hardcopy (books); absent on amazon
Schue, John R.
Hilbert Space Methods in the Theory of Lie Algebras
DOI: 10.2307/1993330
Transactions of the American Mathematical Society, Vol. 95, No. 1 (Apr., 1960), pp. 69-80
Availability: 1960-hilbert.pdf
Cartan decompositions for Lie algebras of prime characteristic
J. Algebra 11 (1969), 25-52; Erratum: 13 (1969), 588
MR 38#201; MR 40#197
Availability: hardcopy
Schuhmacher, Frank
Hochschild cohomology for complex spaces and Noetherian schemes
arXiv:math.AG/0303029, 41 pages
Abstract: The classical HKR-theorem gives an isomorphism of the n-th Hochschild cohomology of a smooth algebra and the n-th exterior power of its module of K\"ahler differentials. Here we generalize it for simplicial, graded and anticommutative objects in ``good pairs of categories''. We apply this generalization to complex spaces and noetherian schemes and deduce two decomposition theorems for their (relative) Hochschild cohomology (special cases of those were recently shown by Buchweitz-Flenner and Yekutieli). The first one shows that Hochschild cohomology contains tangent cohomology: $\HH^n(X/Y,\sM)=\coprod_{i-j=n}\Ext^i(\dach^j\LL(X/Y),\sM)$. The left side is the n-th Hochschild cohomology of $X$ over $Y$ with values in $\sM$. The right hand-side contains the $n$-th relative tangent cohomology $\Ext^n(\LL(X/Y),\sM)$ as direct factor. The second consequence is a decomposition theorem for Hochschild cohomology of complex analytic manifolds and smooth schemes in characteristic zero: $\HH^n(X)=\coprod_{i-j=n}H^i(X,\dach^j\sT_X).$ On the right hand-side we have the sheaf cohomology of the exterior powers of the tangent complex.
Three deformation functors for associative algebras
arXiv:math.RA/0509627
Abstract: We show that 3 deformation functors (deformation of the product, flat deformation and deformations of the relations) assigned to an associative algebra are naturally isomorphic.
Availability: hardcopy
Schwartz, Joseph E.
An Examination of Concor and Related Methods for Blocking Sociometric Data
Sociological Methodology, Vol. 8, (1977), pp. 255-282
Description: Iterative correlation and covariance matrices, rather primitive.
Availability: 270759.pdf
Schwarz, Fritz
Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
SIAM Review, Vol. 30, No. 3 (Sep., 1988), pp. 450-481
Algorithmic Lie Theory for Solving Ordinary Differential Equations
CRC Press, 2007, 448 pp.
a
m
a
z
o
n
|  |
Schwarz, Wolfgang
40 Puzzles and Problems in Probability and Mathematical Statistics
Springer, 2008
Schwede, Stefan
An exact sequence interpretation of the Lie bracket in Hochschild cohomology
J. Reine Angew. Math. 498 (1998), 153-172
Description: Could be instrumental in understanding how extensions are described via Ext^n.
Availability: Ext.pdf; author's site
Morita theory in abelian, derived and stable model categories
Description: A survey. When do two `rings' have `equivalent' module categories? What characterizes the category of modules over a `ring'?
Schweitzer, Michael and Finch, Steven
Zero divisors in associative algebras over infinite fFields
arXiv:math.RA/9903182
Abstract: Let F be an infinite field. We prove that the right zero divisors of a three-dimensional associative F-algebra A must form the union of at most finitely many linear subspaces of A. The proof is elementary and written with students as the intended audience.
Schwertman, N. C. and Allen, D. M.
Smoothing an indefinite variance-covariance matrix
DOI: 10.1080/00949657908810316
Journal of Statistical Computation and Simulation, Volume 9, Issue 3 August 1979 , pages 183 - 194
Description: Primitive coposede.
Availability: 772449995.pdf
Sciarrino, A.
A mathematical model accounting for the organisationin multiplets of the genetic code
math-ph/0102022
Description: Through representations of quantum group associated with sl(2) + sl(2).
Availability: hardcopy
From quantum groups to genetic mutations
Symmetries in science XI, 491--503, Kluwer, 2004
Sciarrino, A. and Sorba, P.
REPRESENTATIONS OF THE SUPERALGEBRA F(4) AND YOUNG SUPERTABLEAUX
Preprint LAPP-TH-146, Oct 1985. 13pp.
J.Phys.A19:2241,1986.
Scott, Peter and Swarup, Gadde
Regular Neighbourhoods and Canonical Decompositions for Groups
math.GR/0110210
Abstract: We find canonical decompositions for finitely presented groups which specialize to the classical JSJ-decomposition when restricted to the fundamental groups of Haken manifolds. The decompositions that we obtain are invariant under automorphisms of the group. A crucial new ingredient is the concept of a regular neighbourhood for a finite family of almost invariant subsets of a group. An almost invariant set is an analogue of an immersion.
Scott, D.
Logic with denumerable long formulas and finite string qunatifiers
The Theory of Models, North-Holland, 1965, 329-341
Scott, L.L.
On a conjecture of Zassenhaus, and beyond
Algebra, Proc. Int. Conf. Memory A. I. Mal'cev, Novosibirsk/USSR 1989, Contemp. Math. 131, Pt. 1, 325-343 (1992)
Zentralblatt: 0768.20003
Description: Automorphisms of integral group rings.
Availability: hardcopy (book)
Seber, George A. F.
A Matrix Handbook for Statisticians
Wiley, 2008
Sedoglavic, Alexandre
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
DOI: 10.1007/978-3-540-73433-8_20
Lecture Notes in Computer Science Volume 4545/2007 (Algebraic Biology) Pages 277-291
Availability: 2007-reduction.pdf
Seeley, Craig
7-Dimensional Nilpotent Lie Algebras
DOI: 10.2307/2154390
Transactions of the American Mathematical Society, Vol. 335, No. 2 (Feb., 1993), pp. 479-496
Segal, Dan
Closed subgroups of profinite groups
Proc. Lond. Math. Soc. 81 (2000), No.1, 29-54
Zentralblatt: 1030.20017
Description: In a d-generated finite soluble group, every element of the derived group is equal to a product of 72d^2+46d commutators.
Sehgal, S.K. and Zaicev, M.V.
Identities of group algebras
Comm. Algebra 33 (2005), N11, 4283-4289
Seibt, P.
Cyclic Homology of Algebras
World Scientific, 1987; paperback, 160 pp.
Availability: hardcopy (book); Google books
Seiler, W. M.
Spencer Cohomology, Differential Equations, and Pommaret Bases
Gröbner Bases in Symbolic Analysis (ed. M. Rosenkranz and D. Wang), de Gruyter, 2007, 169-
Sekiguchi, Katsusuki
On the automorophism group of the p-adic group ring of a metacyclic p-group
J. Alg. 82(1983), 488-507
Description: Very specific case with very specific computations.
Availability: sekiguchi.pdf
Sela, Zlil
Diophantine geometry over groups VI: The elementary theory of a free group
Preprint, 2001
Description: Theorem 7. Characterization of groups elementary equivalent to free groups.
Seligman, George B.
On Lie Algebras Of Prime Characteristic
Memoirs AMS 19 (1956)
Characteristic idelas and the structure of Lie algebras
PAMS 8 (1957), 159-164
Zentralblatt: 0218.17004
Description: Kind of structure theory with respect to ideals which are stable under all derivations.
Some results on Lie p-algebras
BAMS (?) circa 1967
Description: Jordan-Chevalley decomposition of an element into separable and p-nilpotent part, results about maximal toral subalgebras; non-algebraically closed fields.
Availability: hardcopy
Modular Lie Algebras
Springer, 1967; hardcover, 165 pp.
Availability: hardcopy (book)
Rational Methods in Lie Algebras
Marcel Dekker, N.Y., 1976
Rational Constructions of Modules for Simple Lie Algebras
Contemp. Math. 5 (1981), 185 pp.
Availability: $12
Generalized even Clifford algebras
J. Alg. 82 (1983), 398-458
Availability: seligman-clifford.pdf
Constructions of Lie Algebras and Their Modules
LNM 1300 (1988); 190 pp.
Availability: hardcopy (book)
A characterization of some simple Lie algebras in prime characteristic
Modular Interfaces, AMS, 1997, 109-
Description: A Tits (KKT) construction put into some form-finding framework; generalized Witt algebras; characterization of algebras in terms of their structure as a module over sl(2)-subalgebra.
Availability: hardcopy (book)
Generalized Witt algebras from Witt groups
Preprint
Availability: selig1.tex (some ancient TeX, compiled badly)
Heisenberg-Witt groups and Lie algebras of type K. "Heisenberg makes contact"
Preprint
Availability: selig2.tex (some ancient TeX, compiled badly)
Tori in generalized Witt algebras
Preprint
Availability: selig3.tex (some ancient TeX, compiled badly)
Seltzer, Margo
Beyond Relational Databases
ACM Queue 3(2005), n.3
Description: A brief survey.
Semenov-Tyan-Shanskii, M.A.
What is a classical R-matrix?
DOI: 10.1007/BF01076717
Funct. Anal. Appl. 17 (1983), N4, 159-272
Yang-Baxter Equation in Integrable Systems (ed. M. Jimbo), World Sci., 1990, 226-
Availability: 1983-what.pdf; Kolkhoz (whole book)
Classical r-matrices and the method of orbits
J. Soviet Math. 28 (1985), N4, 513-524
Zapiski Nauchn. Sem. LOMI 123 (1983), 77-
Description: Involves current algebras and their central extensions.
Availability: hardcopy; 1983-123.djvu (whole Russian journal issue)
Classical r-matrices and quantization
Zapiski Nauchn. Sem. LOMI 133 (1984), 228-235 (in Russian)
Availability: 1984-133.djvu (whole journal issue)
Semenov, Denis A.
Evolution of the genetic code. From the CG- to the CGUA-alphabet, from RNA double helix to DNA
arXiv:0805.0484
Description: Seemingly some simple numerology; see also refs
Semenov, K.N.
A basis of identities of the Lie algebra sl(2) over a finite field
DOI: 10.1007/BF01236781
Math. Notes 52 (1992), N2, 835-839
Availability: 1992-basis.pdf
Semenov, Yuri S.
On the cohomology rings of maximal nilpotent Lie subalgebras in split semisimple rational Lie algebras.
U. de Geneve preprint, 2001
Description: H*(N,Q) (Q, the rationals, is the base field)
Availability: lieup.ps
On graphs and Lie rings
Math. Notes 77 (2005), N3, 414-423
Description: For a finite oriented graph, a finite-dimensional nilpotent Lie ring is constructed.
Sen, Chiu and Guangyu, Shen
Cohomology of graded Lie algebras of Cartan type of characteristic p
Abh. Math. Sem. U. Hamburg 57(1986), 139-156
Description: Many reasonings about graded modules and low-dimensional cohomology of modular graded Lie algebras. Some first cohomologies are computed. Cohomology of graded algebra is nonzero only in a graded module.
Availability: hardcopy
Seneta, Eugene
Mathematics, religion, and Marxism in the Soviet Union in the 1930s
Hist. Math. 31, No.3, 337-367 (2004)
Zentralblatt: pre02117930
Serconek, Shirlei and Wilson, Robert Lee
Classification of forms of restricted simple Lie algebras of Cartan type
Comm. Alg. 19 (1991), 1603-1628
Description: Higher derivations are employed.
Availability: hardcopy
Seregin, A.V.
On some properties of Lie algebras of cohomological dimension one
Fund. Prikl. Mat. 4(1998), N2, 779-783
Zentralblatt: 0998.17022
Availability: seregin.ps; hardcopy
Seress, Akos
Permutation Group Algorithms
Cambridge Tracts in Mathematics 152. Cambridge University Press, 2003
Availability: Kolkhoz
Serganova, Vera V.
Outer automorphisms and real forms of Kac-Moody superalgebras
Zvenigorod 1982, Proceedings, Group Theoretical Methods in Physics, Vol. 3, 639-642
Klassifikaciya prostykh veshchestvennykh superalgebr Lie i simmetricheskikh superprostranstv (in Russian)
Funct. Anal. Prilozh. 17(1983), 46-54
Simple Volichenko algebras
Availability: hardcopy (book)
Automorphisms and real forms of stringy Lie superalgebras
Manuscript
Availability: r-stringy.{tex,dvi}
On representations of the Lie superalgebra p(n)
J. Algebra 258 (2002), no.2, 615-630
Availability: science.pdf
A reduction method for atypical representations of classical Lie superalgebras
Adv. Math. 180(2003), N1, 248-274
Availability: advmath2003.pdf
On representations of Cartan type Lie superalgebras
Vinberg, Ernest (ed.), Lie groups and invariant theory. Providence, RI: American Mathematical Society (AMS). Translations. Series 2. American Mathematical Society 213. Advances in the Mathematical Sciences 56, 223-239 (2005)
Zentralblatt: (me)
Availability: hardcopy
Sergeev, A.N. and Veselov, A.P.
Grothendieck rings of basic classical Lie superalgebras
arXiv:0704.2250
Description: Grothendieck rings of finite dimensional representations.
Sergeev, Alexander
Analogue of the classical invariant theory for Lie superalgebras
DOI: 10.1007/BF01075641
Functional Analysis and Its Applications Volume 26, Number 3 / July, 1992 Pages 223-225
Funkts. Anal. Prilozh., 1992, 26:3, 88-90
MR 1189032
Zentralblatt: 0838.17036
Irreducible representations of solvable Lie superalgebras
Repr. Theory 3 (1999), 435-443
Zentralblatt: 0999.17017
Description: The results of Kac (Adv. Math., 1977) are corrected and refined.
Availability: S1088-4165-99-00086-2.pdf
An analog of the classical invariant theory for Lie superalgebras. I
DOI: 10.1307/mmj/1008719038
Michigan Math. J. 49 (2001), N1, 113-146
arXiv:math/9810113
MR 1827078
Zentralblatt: 1002.17002
Description: Some useful linear superalgebra considerations.
An analog of the classical invariant theory for Lie superalgebras. II
Michigan Math. J. 49 (2001), N1, 147-168
arXiv:math/9904079
Zentralblatt: 1002.17002
Availability: cl-inv2.{tex,dvi}
Sergeev, A.G.
Kahelerova geometriya prostranstv petel
MCCME, Moscow, 2001 (in Russian); hardcover, 127 pp.
Availability: hardcopy (book)
o
z
o
n
|  |
Sergeev, V.M.
Predely racionalnosti
Phasis, Moscow, 1999 (in Russian), paperback, 146 pp.
Availability: hardcopy (book)
Serhir, A.
Niveau hermitien d'une algebre de quaternions a division munie d'une involution de deuxieme espece
Comm. Algebra 30 (2002), no. 10, 4621--4627.
Serov, A. A.
A realization of the Hamiltonian Lie superalgebra
Voprosy teorii grupp i gomologichesko\u\i algebry Edited by A. L. Onishchik.
Yaroslav. Gos. Univ., Yaroslavl\cprime, 1987 (164--167)
Serre, Jean-Pierre
Groupes proalgebriques
Publ. Math. IHES 7 (1960), 5-67
MR 22#9493
Zentralblatt: 0097.35901
Description: Set of all possible algebraic group structures on a given abstract group.
Lie Algebras and Lie Groups
URL: http://modular.math.washington.edu/scans/papers/serre/Serre-Lie_Algebras_and_Lie_Groups/ http://techlibrary.ru/books.htm http://www.newlibrary.ru/book/serr_zh_p_/algebry_li_i_gruppy_li.html http://da8.boom.ru/ct/algebra.htm http://lib.prometey.org/?id=14859&page=4
DOI: 10.1007/BFb0090312
LNM 1500 (1992)
Availability: hardcopy (3-volumes Russian translation, Platon, 1997); Kolkhoz (Russian edition), Kolkhoz' obmennik (English edition); ; VRII 512.55 Ser
a
m
a
z
o
n
|  |
Groupes finis d'automorphismes d'anneaux locaux réguliers
Colloq. d'Alg. Éc. Norm. Sup. de Jeunes Filles, Paris, 8-01 - 8-11, 1967
MR 38:3267
Sur les groupes de congruences des varietes abeliennes. II
Math. USSR Izv. 5 (1971)
Description: Criterion for vanishing of cohomology of linear Lie algebras in terms of eigenvalues of its elements.
Availability: hardcopy
Linear Representations of Finite Groups
URL: http://www.ma.huji.ac.il/~kazhdan/rep.html http://techlibrary.ru/books.htm
Hermann, 1967 and 1971 (original French)
Mir, 1970 (Russian translation from 1967 edition)
Springer, 1977 (English)
Availability: 1971-linear.djvu; Kolkhoz; google books
a
m
a
z
o
n
|  |
Trees
Springer, 1980 (English translation from Arbres, amalgames, SL2, Asterisque, 46(1977)); hardcover, 142 pp.
Availability: hardcopy (book); Kolkhoz obmennik
a
m
a
z
o
n
|  |
Galois Cohomology
corrected 2nd printing, Springer, 2002 (translation from French); hardcover, 207 pp.
Availability: hardcopy (book); Kolkhoz
a
m
a
z
o
n
|  |
Algebraic Groups and Classes Fields
Availability: Kolkhoz (in Russian), Kolkhoz' obmennik (in English); google books
a
m
a
z
o
n
|  |
Shader, Chanyoung Lee
Characters of Representations for Lie Superalgebras of Type C Using Tableaux
Communications in Algebra Volume 34, Number 6 / 2006 Pages: 2129 - 2142
Shafarevich, I. R.
On some infinite-dimensional groups. II
DOI: 10.1070/IM1982v018n01ABEH001379
Math USSR Izv. 18 (1982), 185-194
Availability: im_18_185.pdf; collected-works-3-2.djvu
Osnovy algebraicheskoi geometrii
2 volumes, 2nd ed., Nauka, 1988 (in Russian); hardcover, small format, 351 + 304 pp.
Availability: hardcopy (book); Kolkhoz (3rd edition, 2007); google books (under the title "Basic Algebraic Geometry")
a
m
a
z
o
n
|  |
o
z
o
n
|  |
Sochineniya, Vol. 3, Parts I, II
Moscow, 1996 (in Russian)
Availability: collected-works-3-[12].djvu; Kolkhoz
Basic Notions of Algebra
Encyclopedia of Math. Sci. 11, Algebra - I, Springer
2nd ed., Regular & Chaotic Dynamics, 2001 (in Russian; corrected and augmented edition of VINITI, 1986); hardcover.
Availability: Kolkhoz (Springer edition); hardcopy (Russian edition)
a
m
a
z
o
n
|  |
o
z
o
n
|  |
Degeneration of semisimple algebras
Special issue dedicated to Alexei Ivanovich Kostrikin. Comm. Algebra 29 (2001), no. 9, 3943--3960
MR 2002k:14079
Abstract: The author studies the structure of finite-dimensional associative commutative algebras which are degenerations (in algebraic varieties of structure constants sense) of semisimple algebras.
Availability: 100105983.pdf
O gruppe GL(2,K[t])
Trudy Mat. Inst. Steklova 246 (2004), 321-327
Availability: 2004-o-gruppe.pdf
Shalev, A.
Simple Lie algebras and Lie algebras of maximal class
Arch. Math. 63 (1994), N4, 297-301
MR 95j:17025
Description: Some interesting observations on modular Hamiltonian Lie algebras.
Availability: N3461N8225G66U56.pdf
Mixing and generation in simple groups
DOI: 10.1016/j.jalgebra.2007.07.031
J. Algebra 319 (2008), N7, 3075-3086
Description: If w is a non-trivial word, then almost every pair of values of w in G generates G, G being a finite simple group.
Commutators, words, conjugacy classes and character methods
Turkish J. Math. 31 (2007), suppl., 131--148
Description: When each element in a (simple) group is a commutator, product of some commutators, etc, generalization from commutators to words. A survey.
Shalev, Aner and Zelmanov, Efim I.
Narrow Lie algebras: coclass theory and a characterization of the Witt algebra
DOI: 10.1006/jabr.1996.6819
J. Alg. 189(1997), 294-331
Zentralblatt: 0886.17008
Description: Positive part of a Witt algebra is the only soluble N-graded Lie algebra generated by two homogeneous components and with minimal differences of dimensions of terms in the lower central series.
Availability: science-2.pdf
Narrow algebras and groups
DOI: 10.1007/BF02366350
J. Math. Sci. 93 (1999), No.6, 951-963
Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 55, Algebra-11, 1998
Zentralblatt: 0933.17011
Shampaner, K.
Algorithms for realizing the rank and primitivity of systems of elements in free nonassociative algebras
Fundam. Prikl. Mat. 6 (2000), no. 4, 1229--1238
Shang, Shikui and Chen, Hongjia and Gao, Yun
Central extensions of Steinberg Lie superalgebras of small rank
DOI: 10.1080/00927870701649416
Comm. Algebra 35 (2007), N12, 4225-4244
Shannon, C.E.
Raboty po teorii informacii i kibernetike
Izdat. Inostr. Liter., 1963 (in Russian)
Availability: Kolkhoz
a
m
a
z
o
n
|  |
Shapiro, Ilya and Tang, Xiang
Gelfand-Fuchs cohomology of invariant formal vector fields
arXiv:math.RT/0607582
Math. Res. Lett. 15 (2008), no. 1, 129--148
Shapiro, Boris
About 'Jewish' University and Misha Marinov (in Russian)
Multiple facets of quantization and supersymmetry, 36--39, World Sci., 2002
Shapiro, Stewart
Foundations without foundationalism: A case for second-order logic
Oxford Univ. Press, 1991
Description: More of philosophical character. Seems to be not instrumental from the point of view of ultraproducts and Los' theorem.
Availability: VU: Hoofdgebouw 13e etage BK.02128.-; UVA: 253: IVl - SHAP; CWI: C82-SHA-771
Shapovalov, N. N.
On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
Funct. Anal. Appl. 6 (1972), N4, 307-312
Shapukov, B.N.
Zadachi po gruppam Lie i ikh prilozheniyam
URL: http://www.newlibrary.ru/book/shapukov_b_n_/zadachi_po_gruppam_li_i_ih_prilozhenijam.html http://lib.prometey.org/?id=14859&page=4
Regular & Chaotic Dynamics, 2002 (in Russian); softcover, 255 pp.
Availability: o
z
o
n
|  |
Sharygin, Igor
Ot kakogo konya primet smert' rossiiskaya matematika
Otechestvennye Zapiski, 2002, N2) (in Russian)
Shashkin, Yu.A.
Eulerova characteristica (in Russian)
URL: http://plm.mccme.ru/ann/a58.htm http://techlibrary.ru/books.htm
Shchepochkina, Irina M.
New exceptional simple Lie superalgebras
C. R. Bul. Sci. 36 (1983), 313-314
Description: Probably the first mentioning of them.
Maximal and maximal solvable subalgebras of simple Lie superalgebras
Voprosy teorii grupp i gomologicheskoi algebry (ed. A. L. Onishchik), Yaroslav. Gos. Univ. 1987, 156-161
Maximal subalgebras of matrix Lie superalgebras
arXiv:hep-th/9702122
Abstract: Dynkin's classification of maximal subalgebras of simple finite dimensional complex Lie algebras is generalized to Lie subsuperalgebras of the general linear Lie superalgebras.
Five exceptional simple Lie superalgebras of vector fields
DOI: 10.1007/BF02465205
Functional Analysis and Its Applications Volume 33, Number 3 / July, 1999 Pages 208-219
arXiv:hep-th/9702121
MR 1724270
Zentralblatt: 1007.17006
The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings
REPRESENTATION THEORY Volume 3, Pages 373415 (October 13, 1999)
Lie superalgebras singled out by systems of equations
Description: Certain realizations of 13 types of exceptional "stringy" superalgebras
Availability: diffeq.tex
Maximal subalgebras of classical linear Lie superalgebras
The orbit method in geometry and physics, Birkhauser, 2003, 445-472
Availability: max.{tex,dvi}; the-orbit-method-in-geometry-and-physics.djvu (whole book)
Vosstanovlenie gruppy po ee algebre Lie
Manuscript, 2005
Availability: alg_group.pdf
How to realize Lie algebras by vector fields
URL: http://www.ingentaconnect.com/content/klu/tamp/2006/00000147/00000003/00000078 http://mi.mathnet.ru/eng/tmf1987
DOI: 10.1007/s11232-006-0078-5
Theor. Math. Phys. 147 (2006), N3, 821-838
arXiv:math.RT/0509472
MR 2254724
Availability: hardcopy (version got from Leites at Sep 15 2005)
Maximal graded subalgebras of simple vectorial Lie superalgebras
Manuscript, 11 pp.
Availability: iraVECT.{tex,dvi}
Shchepochkina, Irina M. and Post, Gerhard
Explicit bracket in an exceptional simple Lie superalgebra cvect(0|3)_*
Internat. J. Algebra Comput. 8(1998), N4, 479--495
physics/9703022
Zentralblatt: 0957.17008
Description: Leites: two amazing extensions of $sle^o(3)$
Sheina, G.V.
Mnoogobraziya metabelevyh A-algebr Lie. I
Vestnik MGU 1977, N4, 37-46
Description: Lie algebras all whose nilpotent subalgebras are abelian.
Availability: hardcopy
Mnoogobraziya metabelevyh A-algebr Lie. II
Vestnik MGU 1978, N3, 52-59
Availability: CWI
Metablian varieties of Lie A-algebras
DOI: 10.1070/RM1978v033n02ABEH002431
Russ. Math. Surv. 33 (1978), 249-250
Sheinman, O. K.
Affine Lie algebras on Riemann surfaces
DOI: 10.1007/BF01078844
Funct. Anal. Appl. 27 (1993), N4, 266-272
Description: Krichever-Novikov algebras; central extensions of particular currents are involved.
Availability: hardcopy
The Fermion model of representations of affine Krichever-Novikov algebras
DOI: 10.1023/A:1012378912526
Funct. Anal. Appl. 35 (2001), N3, 209-219
Availability: U65528126WL58613.pdf
Affine Krichever-Novikov algebras, their representations and applications
Geometry, Topology, and Mathematical Physics (ed. V.M. Buchstaber and I.M. Krichever), AMS, 2004, 297-316
arXiv:math.RT/0304020
Abstract: A survey, including (local) central extensions, invariants, representations, and casimir operators.
Osnovy teorii predstavlenii
MCCME, 2004
Availability: MCCME web site
Krichever-Novikov algebras and their representations
Noncommutative Geometry and Representation Theory in Mathematical Physics, Contemp. Math. 391 (2005), 313-
Availability: google print
Algebry Krichevera-Novikova, ikh predstavleniya i prilozheniya v geometrii i matematicheskoi fizike
Sovr. Probl. Mat. (Steklov Inst.), Vyp. 10, 2007
Shelah, S.
Classification theory and the number of nonisomorphic models
North-Holland Publishing Co., Amsterdam, second edition, 1990
Shen, Ran and Jiang, Cuipo
The derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebra
DOI: 10.1080/00927870600651257
Comm. Algebra 34 (2006), no. 7, 2547--2558
Shen, A.
Programmirovanie. Teoremy i zadachi
2nd ed., MCCME, 2004 (in Russian)
Shen, Guang-Yu
Variations of the classical Lie algebra G_2 in low characteristics
Nova J. Alg. Geom. 2 (1993), N3, 217-243
Availability: shen.pdf
Lie algebras of CL Type
DOI: 10.1006/jabr.2001.9059
J. Alg. 249 (2002), N1, 95-109
Abstract: The notion of a strongly nilpotent element of a Lie algebra is introduced. According to the existence or nonexistence of nontrivial strongly nilpotent elements, the simple modular Lie algebras are divided into two categories, CA type and CL type, which coincide with Lie algebras of generalized Cartan type and classical type, respectively, when the characteristic is greater than 7. Examples of nonclassical simple Lie algebras of CL type are given which all have affinities to the classical Lie algebras.
Shepler, Anne V. and Witherspoon, Sarah
Hochschild cohomology and graded Hecke algebras
DOI: 10.1090/S0002-9947-08-04396-1
arXiv:math.RA/0603231
Trans. Amer. Math. Soc. 360 (2008), 3975-4005
Description: Hochschild cohomology and deformations of skew group algebras.
Shereshevskii, Ilya A.
Quantization and commutative superalgebras
Lett. Math. Phys. 5 (1981), 429-435
A finite dimensional analog of the Krein formula
J. Nonlin. Math. Phys.8 (2001), N4, 1-12
arXiv:math-ph/0209055
Description: A formula for inversion of perturbation of a matrix, where perturbation is understood as addition of a linear operator of low rank.
Approximaciay geometricheskikh ob'ektov i vse takoe... (in Russian)
Manuscript, end of 2004
Description: Connection between approximation simplexes in numerical mathematics and homological algebra.
Availability: Approximations_and_Geometry_6.pdf; hardcopy
Shestakov, I.P.
Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them
Doklady 49 (1994), N1, 34-37
Availability: hardcopy
Speciality and the deformations of algebras
Algebra. Proc. Int. Alg. Conf. on the Occasion of the 90th Birthday of A.G.Kurosh, DeGruyter, 2000, 345--356
MR 2001b:17005
Description: Also related to varieties.
Shestakov, Ivan P. and Umirbaev, Ualbai U.
Poisson brackets and two-generated subalgebras of rings of polynomials
J. Amer. Math. Soc. 17 (2003), N1, 181-196
MR 2004h:13022
Abstract: We introduce a Poisson bracket on the ring of polynomials over a field of characteristic and apply it to the investigation of subalgebras of the algebra . An analogue of the Bergman Centralizer Theorem is proved for the Poisson bracket in . The main result is a lower estimate for the degrees of elements of subalgebras of generated by so-called -reduced pairs of polynomials. The estimate involves a certain invariant of the pair which depends on the degrees of the generators and of their Poisson bracket. It yields, in particular, a new proof of the Jung theorem on the automorphisms of polynomials in two variables. Some relevant examples of two-generated subalgebras are given and some open problems are formulated.
Availability: S0894-0347-03-00438-7.pdf
Shestakov, I. P. and Zelmanov, E.
Some examples of nil Lie algebras
J. Eur. Math. Soc. 10 (2008), no. 2, 391--398
Availability: 2008-10-02-04.pdf
Shevelin, M.A.
Razreshimye p-algebry Lie bez krucheniya
Matematicheskie Struktury i Modelirovanie, 1998, N1, 37-47
Abstract: Some facts concerning with structure of solvable restricted Lie algebras satisfying finiteness conditions on commutative restricted subalgebras are proved. For metabelian restricted Lie algebra without nontrivial finite-dimensional restricted subalgebras some cohomological sufficient condition to be of finite rang is obtained. Restricted Lie algebra over GF (2) providing an example when this condition is not necessary is found.
Availability: shevel.ps
Primenenie metoda kompozicii v gomologicheskoi algebre
Vestnik Omsk. Univ. 1998, Vyp. 1, 17-19
Description: Construction of free resolvents of modules over Lie and associative algebras using ideas of composition (=diamond) lemma.
Availability: hardcopy
Shevrin, L.N.
Densely embedded ideals of Lie algebras
DOI: 10.1007/BF00968321
Siber. Math. J. 15 (1974), N1, 137-142
Availability: 1974-densely.pdf
Shimura, Goro
The representation of integers as sums of squares
AJM 124 (2002), 1059-1081
Availability: 124.5shimura.pdf
Inhomogeneous quadratic forms and triangular numbers
Amer. J. Math. 126 (2004), No.1, 191-214
Availability: 126.1shimura.pdf
Shirkov, D.V.
Renormalization groups and functional self-similarity
Prepint (?), Dubna 1999, 97 pp.
Description: Looks like a small book or a big survey.
Availability: renormalization.ps
Shirshov, A. I.
On rings with polynomial identities
Mat. Sbornik 43 (1957), 277-283
AMS Transl. 119 (1983), 133-139
Zentralblatt: 0078.02402
Description: A celebrated Shirshov's theorem on height.
Availability: hardcopy
Some problems in the theory of rings that are nearly associative
URL: http://math.usask.ca/~bremner/research/translations/ http://mi.mathnet.ru/eng/umn7489
Uspekhi Mat. Nauk 13 (1958), N6, 3-20
Non-associative Algebra and Its Applications, Lect. Notes Pure Appl. Math. 246, Chapman & Hall/CRC, 2006, 441--459
MR 21#1323
Zentralblatt: 0088.03202
Description: A survey.
Availability: shirshov.pdf; hardcopy
Shmelkin, A.L.
Abstraktnaya teoriya beskonechnykh grupp
Algebra, 1964, VINITI, 47-
Shmelkin, A. L. and Syrtsov, A. V.
On embeddings of some factor algebras of free sums of Lie algebras
DOI: 10.1007/s10958-005-0468-5
Fund. Appl. Math. 10 (2004), N4, 235-241
J. Math. Sci. 131 (2005), N6, 6148-6152
Sovr. Matem. i ee Prilozh., Vol. 14, Algebra, VINITI, 2004
Description: Embedding, under certain conditions, of a Lie algebra F(X)/V(R) into the wreath product of V(X) and F(X)/R, where F(X) is a free Lie algebra, R - its ideal, V - variety, V(R) - corresponding verbal ideal, V(X) - relatively free algebra.
Shneerson, L. M.
Identities and a bounded height condition for semigroups
DOI: 10.1142/S0218196703001559
Internat. J. Algebra Comput. 13 (2003), no. 5, 565--583
MR 2004k:20117
Zentralblatt: 1065.20068
Description: Example of semigroups not satisfying a nontrivial identity and having bounded height (in sense of Shirshov).
Shnider, Steve
The classification of real primitive infinite Lie algebras
J. Diff. Geom. 4(1970), N1, 81-89
Availability: hardcopy
Bialgebra deformations
CRAS 312(1991), 7-12
Availability: hardcopy
Shnider, Steve and Sternberg, Shlomo
The cobar resolution and a restricted deformation theory for Drinfeld algebras
J. Alg. 169(1994), N2, 343-366
Availability: hardcopy
Quantum Groups: From Coalgebras to Drinfeld Algebras
International Press, 1993, 520 pages
Availability: $35 (sale)
Shnider, Steve and Van Osdol, Donovan H.
Operads as abstract algebras, and the Koszul property
Journal of Pure and Applied Algebra, 143(1999), 381-407
Description: The purpose of this work is to clarify some aspects of the theory of operads - especially of Koszul operads. We describe the free operad and give the categorical bar construction in terms of it. After giving a description of operads as abstract "algebras", we give a self-contained proof of Theorem 4.1.13 of Ginzburg and Kapranov (1994). Our approach uses two spectral sequences associated to the categorical cobar complex of a Koszul operad. *** possibly related to possibility to define cohomology of anything in terms of operad (in Gerstanhaber's words) ***
Shoikhet, Boris
Cohomology of the Lie algebras of differential operators: lifting formulas
Topics in Quantum Groups and Finite-Type Invariants. Math. at the Indepenedent U. of Moscow (ed. B. Feigin and V. Vassiliev), AMS, 1998
Abstract: We construct an explicit formula for the (2n+1)-cocycle of the Lie algebra of (pseudo)differential operators on an n-dimensional space. We prove that this formula in fact defines a cocycle for n=1 and n=2.
Tsygan formality and Duflo formula
Math. Res. Lett. 10 (2003), 763-775
arXiv:math.QA/0012066
Description: A map H*(g, S(g)) -> H*(g, U(g)).
The CROCs, non-commutative deformations, and (co)associative bialgebras
arXiv:math.QA/0306143, 18 pages
Abstract: We compactify the spaces $K(m,n)$ introduced by Maxim Kontsevich. The initial idea was to construct an $L_\infty$ algebra governing the deformations of a (co)associative bialgebra. However, this compactification leads not to a resolution of the PROP of (co)associative bialgebras, but to a new algebraic structure we call here a CROC. It turns out that these constructions are related to the non-commutative deformations of (co)associative bialgebras. We construct an associative dg algebra conjecturally governing the non-commutative deformations of a bialgebra. Then, using the Quillen duality, we construct a dg Lie algebra conjecturally governing the commutative (usual) deformations of a (co)associative bialgebra. Philosophically, the main point is that for the associative bialgebras the non-commutative deformations is maybe a more fundamental object than the usual commutative ones.
A proof of the Tsygan formality conjecture for chains
Adv. Math. 179 (2003), N1, 7-37
Preprint IHES 2001, M/01/28
Abstract: We extend the Kontsevich formality L-morphism to an L-morphism of L-modules over . The construction of the map is given in Kontsevich-type integrals. The conjecture that such an L-morphism exists is due to Boris Tsygan (Formality Conjecture for Chains, math. QA/9904132). As an application, we obtain an explicit formula for isomorphism (A* is the Kontsevich deformation quantization of the algebra A by a Poisson bivector field, and {,} is the Poisson bracket). We also formulate a conjecture extending the Kontsevich theorem on cup-products to this context. The conjecture implies a generalization of the Duflo formula, and many other things.
A concept of 2/3PROP and deformation theory of (co)associative bialgebras
arXiv:math.QA/0311337
Abstract: We introduce a concept of $\frac23$PROP generalizing the Kontsevich concept of $\frac12$PROP. We prove that some Stasheff-type compactification of the Kontsevich spaces $K(m,n)$ defines a topological $\frac23$PROP structure. The corresponding chain complex is a minimal model for its cohomology (both are considered as $\frac23$PROPs). We construct a $\frac23$PROP $\End(V)$ for a vector space $V$. Finally, we construct a dg Lie algebra controlling the deformations of a (co)associative bialgebra. Philosophically, this construction is a version of the Markl's operadic construction from [M1] applied to minimal models of $\frac23$PROPs.
Formality theorem on infinite-dimensional spaces and a conjecture of B.Feigin
arXiv:0805.3363
Description: Lie algebras of outer derivations of the free associative algebra and of the free Poisson algebra are isomorphic.
Shokurov, V.V.
Rimanovy poverhnosti i algebraicheskie krivye (in Russian)
VINITI green series
Description: A survey.
Availability: shokurov-viniti.djvu
Algebraicheskie krivye i ih jacobiany (in Russian)
Sovremennye Problemy Matematiki. Fundamentalnye Napravleniya. Vol. 39, VINITI, 1989, 233-273
Description: Also Toda lattices.
Availability: viniti-jacobians.djvu
Shoup, V.
A Computational Introduction to Number Theory and Algebra
URL: http://shoup.net/ntb/ http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01995-3/home.html http://ef12517-2.tu-sofia.bg/Desislav Todorov/Frames/Books/Mathematics/Number theory/
Cambridge U. Press, 2005
Description: Interesrting.
a
m
a
z
o
n
|  |
Shpilrain, Vladimir
On generators of L/R^2 Lie algebras
DOI: 10.2307/2159962
PAMS 119 (1993), 1039-
Description: Generators for L/R^2 where L is a free Lie algebra, R - ideal in L. Criteria for a mapping in a free Lie algebra to be an automorphism in terms of matrix constructed from Fox derivatives over U(L); short exposition of suitable free differential calculus.
Availability: hardcopy
Shpilrain, Vladimir and Yu
Peak reduction technique in commutative algebra
arXiv:math.AG/9912156
Description: Decomposition of Aut(K[x,y]) as a free amalgamated product.
Shrikhande, M.S. and Sane, S.S.
Quasi-Symmetric Designs
LMS Lecture Notes Ser. 164, Cambridge Univ. Press, 1991; paperback, 225 pp.
Availability: hardcopy (book)
a
m
a
z
o
n
|  |
Shu, Bin
Generalized restricted Lie algebras and representations of the Zassenhaus algebra
DOI: 10.1006/jabr.1997.7344
J. Algebra 204 (1998), No. 2, 549-572
Conjugation in representations of the Zassenhaus algebra
Acta Math. Sinica 17 (2001), no. 2, 319--326
Representations of Cartan type Lie algebras in characteristic p
J. Algebra 256(2002), N1, 7-27
Zentralblatt: 1047.17009
Availability: hardcopy (journal)
Shu, Bin and Jiang, Zhihong
The projective representations of W(1,n)
Preprint, 2003
On Cartan invariants and blocks of Zassenhaus algebras
Comm. Alg. 33 (2005), N10, 3619 - 3630
Shukla, U.
A cohomology for Lie algebras
J. Math. Soc. Japan 18(1966), 275-289
Description: Including interpretation of 3-dim. cohomology as "kernels".
Availability: hardcopy
Shult, Ernest
The solution of Boens' problem
BAMS circa 1967
Description: (nonassociative) algebras over finite fields whose automorphism group acts transitively on elements / one-dimensional subspaces.
Availability: hardcopy
Shumyatsky, Pavel and Tamarozzi, Antonio
On Z_6-graded Lie rings
J. Algebra 277 (2004), no. 2, 703-716
Shumyatsky, Pavel and Tamarozzi, Antonio and Wilson, Lawrence
Z_n-graded Lie rings
J. Algebra 283 (2005), no. 1, 149--160
(me)
Availability: hardcopy
Siciliano, Salvatore
On the Cartan subalgebras of Lie algebras over small fields
J. Lie Theory 13 (2003), No. 2, 511--518
Zentralblatt: 1037.17019
Abstract: In this note we study Cartan subalgebras of Lie algebras defined over finite fields. We prove that a possible Lie algebra of minimal dimension without Cartan subalgebras is semisimple. Subsequently, we study Cartan subalgebras of gl(n,F).
Cartan subalgebras in Lie algebras of associative algebras
DOI: 10.1080/00927870600938928
Comm. Algebra 34 (2006), N12, 4513-4522
Abstract: We obtain a description of the Cartan subalgebras of Lie algebras arising from associative algebras, and highlight their connections with the associative structure of the underlying algebra. In particular, the cases of division algebras, solvable associative algebras, and group algebras are examined.
Description: Could be related to minimal nonabelian and anisotropic.
Availability: k2620224724r2700.pdf
Sidman, Jessica and Sullivant, Seth
Prolongations and computational algebra
arXiv:math.AC/0611696
Description: Cartan prolongations apparently appear in some genetic problem!
Availability: hardcopy
Siebenthal, Jean de
Sur certaines graduations dans les algebres de Lie semi-simples
Verhdl. Schweizer. naturforsch. Ges., wissensch. 146 (1966), 112-114
Zentralblatt: 0249.17007
Siegel, Stephen F.
On the cohomology of split extensions of finite groups
Trans. Amer. Math. Soc. 349 (1997), 1587-1609
Description: Differentials in the Hochschild-Serre spectral sequence.
Siegel, Stephen F. and Witherspoon, Sarah J.
The Hochschild cohomology ring of a group algebra
DOI: 10.1112/S0024611599011958
Proc. London Math. Soc. 79 (1999), 131-157
Zentralblatt: 1044.16005
Availability: hochschild.pdf; hardcopy
Sierra, G.
An application of the theories of Jordan algebras and Freudenthal triple systems to particles and strings
Class. Quant. Grav. 4 (1987), 227-236
Description: KKT construction
Sigg S.
Laplacian and homology of free 2-step nilpotent Lie algebras
J. Algebra 185 (1996), 144-161.
MR 97i:17014
Sigler, L.E.
Exercises in Set Theory
Springer, 1976; paperback, 134 pp.
Availability: hardcopy (book)
Sigurdsson, G.
Homomorphic images of solvable Lie algebras
DOI: 10.1016/0021-8693(87)90189-X
J. Alg. 105 (1987), 242-249
MR 88b:17018
Description: Solvable Lie algebras all whose proper homomorphic images are nilpotent.
Availability: VU
Sigurdsson, Gunnar and Silvestrov, Sergei D.
Bosonic realizations of the color analogue of the Heisenberg Lie algebra
arXiv:math.QA/0311204
Graded quasi-Lie algebras of Witt type
DOI: 10.1007/s10582-006-0439-1
Czechoslovak J. Phys. 56 (2006), N10-11, 1287-1291
Description: Color algebras.
Sikorski, R.
Boolean Algebras
3rd ed., Springer, 1969; hardcover, 237 pp.
Availability: hardcopy; amazon; absent on ozon; Kolkhoz (in Russian)
Silberberg, Gheorghe
Discrete symmetries of the Black-Scholes equation
Manuscript
Description: Structure of a Lie algebra of symmetries.
Availability: silberberg2.pdf
Siles Molina, Mercedez
Algebras of quotients of Lie algebras
J. Pure Appl. Algebra 188 (2004), no. 1-3, 175-188
Description: A notion of algebra of quotient is introduced in the category of Lie algebras.
Availability: liequot.dvi
Silhan, Josef
Algorithmic computations of Lie algebras cohomologies
Proceedings of the 22nd Winter School ``Geometry and Physics'' (Srni, 2002). Rend. Circ. Mat. Palermo (2) Suppl. No. 71 (2003), 191-197
Availability: hardcopy; lac-srni.ps
Sills, Andrew V.
RRtools - a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities
J. Symbolic Comput. 37(2004), N4, 415-448
Silverberg, A. and Zarhin, Yu.G.
Variations on a theme of Minkowski and Serre
Preprint
Availability: hardcopy
Semistable reduction and torsion subgroups of abelian varieties
Preprint
Availability: hardcopy
Silverstein, Jack W.
On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix
DOI: 10.1016/0047-259X(89)90042-0 How to Cite or Link Using DOI (Opens New Window)
Journal of Multivariate Analysis Volume 30, Issue 2, August 1989, Pages 307-311
Silvestrov, Sergei
Paradigm of quasi-Lie and quasi-Hom-lie algebras and quasi-deformations
New techniques in Hopf algebras and graded ring theory, 165--177, K. Vlaam. Acad. Belgie Wet. Kunsten (KVAB), Brussels, 2007
Simkin, M.V. and Roychowdhury, V.P.
Copied citations create renowned papers?
cond-mat/0305150
Abstract: Recently we discovered (cond-mat/0212043) that the majority of scientific citations are copied from the lists of references used in other papers. Here we show that a model, in which a scientist picks three random papers, cites them,and also copies a quarter of their references accounts quantitatively for empirically observed citation distribution. Simple mathematical probability, not genius, can explain why some papers are cited a lot more than the other.
An introduction to the theory of citing
math.ST/0701086
Significance, vol 3, no 4, pp 179-181 (2006)
Abstract: Statistical analysis of repeat misprints in scientific citations leads to the conclusion that about 80% of scientific citations are copied from the lists of references used in othe papers. Based on this finding a mathematical theory of citing is constructed. It leads to the conclusion that a large number of citations does not have to be a result of paper's extraordinary qualities, but can be explained by the ordinary law of chances.
Simon, W.
Mathematical Techniques for Biology and Medicine
Dover, 1986; paperback, 295 pp.
Availability: hardcopy (book)
Simonian, L.A. (=Simonjan)
Two radicals of Lie algebras
Doklady (?), circa 1964, 941-943
Availability: hardcopy
Structure theory for one class of locally finite Lie algebras
arXiv:math.RA/0310208
Abstract: In this paper I consider locally finite Lie algebras of characteristic zero satisfying the condition that for every finite number of elements $x_{1}, x_{2},..., x_{k}$ of such an algebra $L$ there is finite-dimensional subalgebra $A$ which contains these elements and $L(adA)^n\subset A$ for some integer $n$. For such algebras I prove several structure theorems that can be regarded as generalizations of the classical structure theorems of the finite-dimensional Lie algebras theory.
Simons, F.H.
Reccurence Properties and Periodicity for Markov Processes
Ph.D. Thesis, Technische Hogeschool te Eindhoven, 1971; 145 pp.
Availability: hardcopy
Sims, Charles C.
Computation with Finitely Presented Groups
Cambridge University Press, 1994
Sinai, Yakov
Statistical (3x+1) - problem
math.DS/0201102
Comm. Pure Appl. Math, to appear
Singer, I.M. and Sternberg, Shlomo
The infinite groups of Lie and Cartan. I: The transitive groups
J. Anal. Math. 15, 1-114 (1965)
Zentralblatt: 0277.58008 0277.58008
Description: G-structures, Cartan prolongation, criterion of integrability of differential equation in terms of vanishing of Spencer cohomology, classification of graded Lie algebras of Cartan type, and all that.
Availability: hardcopy
Singh, J.P. and Prabakaran, S.
Group properties of the Black Scholes equation and its solutions
URL: http://www.ejtp.com/articles/index.html http://pphmj.com/abstract/2733.htm
Electronic Journal of Theoretical Physics Volume 5, Issue 18 (June 2008) N5
Far East J. Math. Sci. 27 (2007), N1, 15-28
Availability: ejtpv5i18p51.pdf
Sirola, Boris
Pairs of semisimple Lie algebras and their maximal reductive subalgebras
DOI: 10.1007/s10468-007-9068-z
Algebras Repr. Theory 11 (2008), N3, 233-250
Sitaram, B. R.
Cohomology theory of the Virasaro algebra.
Indian J. Pure Appl. Math. 16 (1985), no. 11, 1263--1266.
MR 87f:17016
MR Review: The Virasoro algebra ${\germ g}$ is the Lie algebra with generators $J_i$, where $i$ ranges over the integers, and defining relations $[J_i,J_j]=(j-i)J_{i+j}$ (sometimes, the name is used for a central extension of ${\germ g}$). Recently, \n I. Kaplansky\en \ref[Comm. Math. Phys. 86 (1982), no. 1, 49--54; MR 84c:17012] showed that rather mild conditions on a Z-graded Lie algebra force it to be isomorphic to ${\germ g}$. Similarly, rather mild conditions on a ${\germ g}\text{-module}$ force it to be isomorphic to a ${\germ g} \text{-module}$ of a very simple kind, called a Kaplansky module $V$ ($V$ depends on two real parameters). Under an additional condition on $V$, the author computes the cohomology of ${\germ g}$ with coefficients in $V$.
Skjelbred, Tor and Sund, Terje
Sur la classification des algèbres de Lie nilpotentes
C. R. Acad. Sci. Paris Sér. A 286 (1978), 241-242
Zentralblatt: 0375.17006
Description: Method of constructing nilpotent Lie algebars from ones of lower dimensions by means of central extensions.
Sklyanin, E.K.
Some algebraic structures connected with the Yang-Baxter equation
DOI: 10.1007/BF01077848
Funct. Anal. Appl. 16 (1982), N4, 263-270
Yang-Baxter Equation in Integrable Systems (ed. M. Jimbo), World Sci., 1990, 244-
Availability: hardcopy; Kolkhoz (whole book)
a
m
a
z
o
n
|  |
Skoldberg, Emil
The homology of Heisenberg Lie algebras over fields of characteristic two
Math. Proc. R. Ir. Acad. 105A (2005), no. 2, 47--49
arXiv:math.RT/0312124
Zentralblatt: 1095.17008 (me)
Abstract: The generating function of the Betti numbers of the Heisenberg Lie algebra over a field of characteristic 2 is calculated using discrete Morse theory.
Availability: hardcopy
Going from cohomology to Hochschild cohomology
DOI: 10.1016/j.jalgebra.2003.09.054
J. Algebra 288 (2005), no. 2, 263--278
Zentralblatt: pre02198626
Availability: sdarticle.pdf
Morse theory from an algebraic viewpoint
Trans. Amer. Math. Soc. 358 (2006), 115-129
Description: Some generic homological algebra in the spirit of perturbation complexes(?) of Lambe et al. Applications: cohomology of some nilpotent (Heisenberg-like?) Lie algebras over p=2 and version of Anick resolution for associative algebras.
Availability: S0002-9947-05-04079-1.pdf
Skopin, A.I.
Jacobi identity for groups
DOI: 10.1007/BF01085051
J. Math. Sci. 9 (1978), N3, 332-336
Availability: vm87231041n10345.pdf
Skornyakov. L.A.
Rings (in Russian)
Algebra. Topologiya, VINITI, 1962, 59-79
