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Tabachnikov, S.L.
Invariant differential operators of general position
Funct. Anal. Prilozh. 16 (1982), N3, 86-87
Description: Estimates for dimensions of homology of L_1 with coefficients in tensor products of lambda-densities, with emphasis on zero-degree homology. The main Lemma from which estimates follow, seems to be a consequence of spectral sequence associated with a double (or, generally, n-dimensional) complex (when differential is a sum of commuting differentials).
Availability: hardcopy
Nazism i matematika
Kvant 1990, N10, 14-20
Taft, E.J.
Orthogonal conjugacies in associative and Lie algebras
DOI: 10.2307/1994088
Trans. AMS 113 (1964), No.1, 18-29
Description: Around Levi-Malcev decomposition.
Availability: 1964-orthogonal.pdf
Cohomology of groups of algebra morphisms
J. Alg. 10 (1968), 400-410
Description: Associative algebras and Wedderburn decomposition.
Availability: coho-gr-alg-mor.pdf
Witt and Virasoro algebras as Lie bialgebras
DOI: 10.1016/0022-4049(93)90116-B
J. Pure Appl. Alg. 87 (1993), no. 3, 301-312
MR 94e:17043
Availability: science.pdf
Taft, Earl J. and Hao, Zhifeng
The Lie multiplication in the Lie duals of the Witt algebras
Non-associative algebra and its applications, 395--399, Lect. Notes Pure Appl. Math., 246, Chapman & Hall/CRC, 2006
Tagne Pelap, S.R
On the Hochschild homology of elliptic Sklyanin algebras
arXiv:0805.2852
Abstract: ... these algebras are deformations of polynomial algebra with a Poisson bracket called the Sklyanin Poisson bracket.
Tahara, M.
On the second cohomology groups of semi-direct products
Math. Z. 129(1972), 365-379
Description: of groups
Tahir Shah, K.
Conjugacy and stability theorems in connection with contraction of Lie algebras
DOI: 10.1016/0034-4877(74)90001-9
Reports on Math. Phys. 6 (1974), N2, 171-181
Description: (Algebro-geometric) variety of structure constants of n-dim. Lie algebras.
Availability: contractions.pdf
Taiclin, M. A.
Relatively elementary subspaces in compact Lie algebras
Sov. Math. Dokl. 144(1962), N5, 997-998
Zentralblatt: 0125.29101
Availability: hardcopy
Relatively elementary subspaces in compact Lie algebras (in Russian)
Algebra i Logika 1(1962), no.2, 30-46
MR 27#5869
Zentralblatt: 0163.28102
Description: Real compact and complex Lie algebras are simple iff all its subspace are relatively elementary (i.e. distinguished by some first-order formula).
Availability: hardcopy
Taillefer, Rachel
Cyclic homology of Hopf algebras.
K-Theory 24 (2001), no. 1, 69--85.
Taina, Juha and Raatikainen, Kimmo
RODAIN: a real-time object-oriented database system for telecommunications Proceedings of the workshop on on Databases: active and real-time table of contents, 1996, Pages: 10 - 14
Availability: p10-taina.pdf
Takamura, Masashi
The relative cohomology of formal contact vector fields with respect to formal Poisson vector fields
J. Math. Soc. Japan 60 (2008), no. 1, 117--125
Takhtajan, Leon A.
A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of n-gebres
Algebra i Analiz 61 (1994), N2, 262-272
St. Petersbourg Math. J. 6 (1995), N2, 429-428
MR 95e:17001
Quantum Mechanics for Mathematicians
AMS, 2008, 393 pp.
Tamarkin, Dimitri
Quantization of Lie bialgebras via the formality of the operad of little disks
Deformation quantization (Strasbourg, 2001), 203--236, IRMA Lect. Math. Theor. Phys., 1, de Gruyter, Berlin, 2002
MR 2003d:53168
Deformations of chiral algebras
arXiv:math.QA/0304211
Proc. ICM, Beijing 2002, Vol. 2, 105-118
MR 2004d:16057
Description: Chiral algebras of Beilinson and Drinfeld.
Tamarkin, Dmitri and Tsygan, Boris
The ring of differential operators on forms in noncommutative calculus
. Graphs and patterns in mathematics and theoretical physics, 105--131, Proc. Sympos. Pure Math., 73, Amer. Math. Soc., Providence, RI, 2005
MR 2131013 (me)
Availability: hardcopy
Tan, Shaobin
TKK algebras and vertex operator representations
DOI: 10.1006/jabr.1998.7604
Journal of Algebra Volume 211, Issue 1, 1 January 1999, Pages 298-342
Description: Lie algebras looking like g\otimes A + V\otimes B + D in terms of "coordinate algebra" A+B.
Tan, Zuo Wen and Yang, Yu Yue and Cao, You An
Automorphisms of strictly upper triangular matrix rings over commutative rings
Natur. Sci. J. Xiangtan Univ. 24 (2002), no. 2, 1--5
Tanabe, Kunio and Sagae, Masahiko
An Exact Cholesky Decomposition and the Generalized Inverse of the Variance-Covariance Matrix of the Multinomial Distribution, with Applications
Journal of the Royal Statistical Society. Series B (Methodological), Vol. 54, No. 1 (1992), pp. 211-219
Availability: 1992-exact.pdf
Tanaka, Junko
Structure of tensor products of the defining representations of the Lie algebra W_1 of Cartan type
J. Math. Kyoto Univ. 41 (2001), no.4, 795-807
Tanaka, N.
On differential systems, graded Lie algebras and pseudo-groups
J. Math. Kyoto Univ. 10, 1-82 (1970)
Zentralblatt: 0206.50503
Tanasa, Adrian
Lie subalgebras of the Weyl algebra. Lie algebras of order 3 and their application to cubic supersymmetry
hep-th/0509174
Description: Classification of Lie subalgebras of a first Weyl algebra.
Tange, R.H.
Extremal elements in Lie algebras
M.Sc. Thesis, Eindhoven, 2002
Description: A "selfcontained" proofs of Kaplansky's theorem about rank one Lie algebras and Premet's result about existence of extremal elements (i.e. (adx)^2 (L) = Kx) in a finite-dimensional Lie algebra (alg. cl., p>5).
Availability: afstudeerverslag.ps
Tarantola, A.
Elements for Physics. Quantities, Qualities, and Intrinsic Theories
Springer, 2005, 279 pp.
Abstract: While usual presentations pf physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing physical quality. The usual physical qunatities simply appear as coordinates over the manifolds representing the physical qualities. This allows to develop physical theories that have a degree of invariance much deeper than the usual one. It is shown that properly developed physical theories contain logarithms and exponentials of tensors: their conspicuous absence in usual theories suggests, in fact, thet the fundamental invariance principle stated in this book is lacking in present-day mathematical physics. The book reviews and extends the theory of Lie groups, develops differential geometry, proposing compact definitions of torsion and curvature, and adapts the usual notion of linear tangetn application to the intrinsic point of view proposed for physics.
Availability: 79,95 EUR
Tarasov, A. A.
The maximality of some commutative subalgebras in Poisson algebras of semisimple Lie algebras
Uspekhi Mat. Nauk 57 (2002), no. 5, 165--166
Russ. Math. Surv. 57, No. 5, 1013-1014 (2002)
Zentralblatt: 1077.17019
Tarkhanov, N. N.
Euler characteristic of Fredholm quasicomplexes
DOI: 10.1007/s10688-007-0032-9
Functional Analysis and Its Applications Volume 41, Number 4 / October, 2007 Pages 318-322
Abstract: Quasicomplexes are usually understood as small (in some sense) perturbations of complexes. Of interest are not only perturbations within the category of complexes but also those going beyond this category. A sequence perturbed in this way is no longer a complex, and so it bears no cohomology. We show how to introduce the Euler characteristic for small perturbations of Fredholm complexes.
Tate, J.
p-divisible groups (Russian translation)
Proc. Conf. Local Fields, Springer, 1967, 158-183
Availability: hardcopy
Taussky, Olga (=Taussky-Todd)
Sums of squares
Amer. Math. Monthly 77 (1970), No.8, 805-830
Zentralblatt: 0208.05202
Availability: 1970-sums-of-squares.pdf
The role of symmetric matrices in the study of general matrices
DOI: 10.1016/0024-3795(72)90024-9
Lin. Alg. Appl. 5 (1972), N2, 147-154
Zentralblatt: 0238.15008
Availability: 1972-symmetric.pdf
Autobiography of Olga Taussky-Todd
Albers and Alexanderson (eds.), Mathematical People: Profiles and Interviews (Boston: Birkhauser, 1985)
Description: Especially the first half: Vienna, Göttingen, Bryn Mawr, London, Princeton, Hilbert, Emmy Noether, etc.
Tauvel, Patrice and Yu, Rupert W.T.
Lie Algebras and Algebraic Groups
Springer, 2005
Description: Chap. 37: Symmetric Lie algebras (with involutive automorphism, or decomposing into direct sum of two subspaces). Chap. 40: Index of linear forms in Lie algebras.
Availability: Euler's Library
Tavares, J. N.
About Cartan geometrization of non-holonomic mechanics
J. Geom. Phys. 45(2003), N1-2, 1-23
Description: "The purpose of this paper is to give... a detailed version of ideas of E. Cartan... about geometrization of non-holonomic systems. This important paper seems [to be] forgotten... we follow... in modern terms the geometry of G-structures...". Cartan prolongations. Features a concrete example starting with differential equations with thorough computations. Leites was very critical to this paper.
Availability: science.pdf
Teitelbaum, Jeremy
Euclids' algorithm and the Lanczos method over finite fields
Math. Comput. 67 (1998), 1665-1678
Availability: teitelbaum97euclids.ps.gz; hardcopy
Teleman, Constantin
Topologie und Differenzierbare Manningfaltigkeiten
VEB Deutscher Verlag der Wissenschaften, Berlin, 1968 (translation from Rumanian); hardcover, 411 pp.
Availability: hardcopy (book); Kolkhoz (Russian edition); absent on amazon
Lie algebra cohomology and the fusion rules
DOI: 10.1007/BF02101235
Comm. Math. Phys. 173 (1995), N2, 265-311
MR 1355626
Zentralblatt: 0842.17038
Description: Some vanishing theorems for loop algebras.
Availability: 1995-lie.pdf
Verlinde factorization and Lie algebra cohomology
DOI: 10.1007/s002220050097
Invent. Math. 126 (1996), 249-263
Availability: DW652UL25Q7GNDLE.pdf; hardcopy
Some Hodge theory from Lie algebras
arXiv:math.RT/0312156
Presented at the 1998 Irvine conference on Motives, Polylogarithms and Hodge theory.
Description: A nice survey of works about cohomology of current algebras (for reductive g) (including some errors in Feigin's works and recent author's results)
Availability: hardcopy
Temizyurek, A.
On free Lie product of Lie $p$-algebras
Algebras Groups Geom. 21 (2004), no. 1, 115--125
Temperley, H. N. V.
Statistical mechanics and the partition of numbers. I. The transition of liquid helium
Proc. Royal Soc. London. Ser. A, Math. Phys. Sci. 199(1949), No. 1058, 361-375
Availability: 13.pdf
Ten, O.K. and Shcheglova, A.V.
On indecomposable representations of simple three-dimensiuonal Lie algebra
Trudy Fiz. Obshch. Resp. Adygeya 2005, N10, 60-65
Availability: 11-2005.pdf
Ten, O.K. and Shelyag, S.M.
On Cartan subalgebras of Lie superalgebras (in Russian)
Trudy Fiz. Obshch. Resp. Adygeya 2005, N10, 1-6
Tenorio Villalon, Angel F.
Solvable Lie algebras and maximal abelian dimensions
Acta Math. Univ. Comenian. (N.S.) 77 (2008), no. 1, 141--145
Terilla, John and Tradler, Thomas
Deformations of associative algebras with inner products
math.QA/0305052, 14 pages
Homology, Homotopy and Applications, Vol. 8 (2006), No. 2, pp.115-132
Abstract: We develop the deformation theory of A_\infty algebras together with \infty inner products and identify a differential graded Lie algebra that controls the theory. This generalizes the deformation theories of associative algebras, A_\infty algebras, associative algebras with inner products, and A_\infty algebras with inner products.
Terpstra, P.
Introduction to the Space Groups
Availability: hardcopy (book)
Terras, Riho
A stopping time problem...
Acta Arithm. 30(1976), 241-252
Description: Collatz conjecture.
Availability: hardcopy
On the existence of a density
Acta Arithm. 35(1979), 101-102
Description: A small elucidation to a previous paper.
Availability: hardcopy
Tevdoradze, Z.
Vertical Cohomologies and Their Application to Completely Integrable Hamiltonian Systems
Georgian Math. J. 5(1998), N5, 483--500
Description: some Lie-algebra looking cohomologies in diff. geom. setting related to BRST
Tevelev, E.A.
Projectively dual varieties
DOI: 10.1023/A:1025366207448
J. Math. Sci. 117 (2003), N6, 4585-4732
arXiv:math.AG/0112028
Description: p. 120-121 - Vinberg's quasi-derivations (aka generalized derivations).
Dual Varieties of Homogeneous Spaces
DOI: 10.1007/3-540-26957-6_8
Encyclopaedia of Mathematical Sciences Vol. 133, Projective Duality and Homogeneous Spaces, 2005, Chap. 8, Pages 155-205
Description: Seems to be coincide with previous.
Thakur, Maneesh L.
Isotopy and invariants of Albert algebras
Comm. Math. Helv. 74(1999), 297-305
Description: Exceptional central simple Jordan algebras.
Availability: 90740297.pdf
Thevenaz, Jacques
Maximal subgroups of direct products
MAGNUS preprint #97-03-10A
Description: general considerations for finite direct product of arbitrary (finite) group G
Thomas, C.B.
Characteristic Classes and the Cohomology of Finite Groups
Cambridge Univ. Press
Availability: Kolkhoz
Thomas, E.
The Generalized Pontrjagin Cohomology Operations and Rings With Divided Powers
Memoirs AMS, No. 27, 1957; paperback, 82 pp.
Availability: hardcopy (book); amazon
Thomée, Vidar
From finite differences to finite elements. A short history of numerical analysis of partial differential equations
J. Comput. Appl. Math. 128 (2001), N1-2, 1-54
Abstract: This is an account of the history of numerical analysis of partial differential equations, starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the development of first finite difference and then finite element methods. The emphasis is on mathematical aspects such as stability and convergence analysis.
Thompson, John G.
Non-solvable finite groups all of whose local subgroups are solvable
BAMS 74(1968), 383-437
Non-solvable finite groups all of whose local subgroups are solvable. II
Pacific J.M. 33(1970), 451-536
Non-solvable finite groups all of whose local subgroups are solvable. III
Pacific J.M. 39(1971), 483-534
Non-solvable finite groups all of whose local subgroups are solvable. IV
Pacific J.M. 48(1973), 511-592
Non-solvable finite groups all of whose local subgroups are solvable. V
Pacific J.M. 50(1974), 215-297
Non-solvable finite groups all of whose local subgroups are solvable. VI
Pacific J.M. 51(1974), 573-630
Thompson, Robert C.
Commutators in the special and general linear groups
TAMS 101 (1961), 16-33
Description: Every element in SL(n) is a (group) commutator.
Author vs. Referee: A Case History for Middle Level Mathematicians
The American Mathematical Monthly, Vol. 90, No. 10. (Dec., 1983), pp. 661-668.
Description: A honest description of the process of papers publishing.
Availability: 1983-author.pdf
Tian, Jianjun Paul
Evolution Algebras and Their Applications
LNM 1921 (2008)
Description: Genetic algebras. Related to Markov chains. (Lie) derivation algebras.
Availability: Kolkhoz' obmennik
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Tian, Jianjun Paul and Li, B.-L.
Coalgebraic structure of genetic inheritance
Mathematical Biosciences and Engineering, vol.1, 2. pp 243-266, 2004
Tian, Jianjun Paul and Vojtechovsky, P.
Mathematical concepts of evolution algebras in non-Mendelian genetics
Quasigroups and Related Systems 14 (2006), no.1, 111-122
Description: Evolution algebras are algebras having a basis e_i such that e_ie_j = 0 for any different i,j.
Tiep, Pham Huu
On the solvability of the kernel of any orthogonal decomposition
Group theory, algebra, and number theory (Saarbru"cken, 1993), 1--12, de Gruyter, Berlin, 1996.
MR 98e:17012
Description: The kernel of an orthogonal decomposition of a complex simple Lie algebra is nearly solvable.
Tikaradze, Akaki
Homological constructions on N-complexes
J. Pure Appl. Algebra 176 (2002), N2-3, 213-222
Abstract: In this paper complexes with N-nilpotent differentials are considered, and are studied anologies and differences with usual homological algebra.
Timoshenko, E. I.
URL: http://springerlink.metapress.com/openurl.asp?genre=article&issn=0002-5232&volume=45&issue=1&spage=67
Algebra and Logic Issue: Volume 45, Number 1 Date: January 2006 Pages: 67 - 74
Using Fox Derivatives in Treating Groups of the Form F/[R', F]
Tipping, M.E. and Bishop, C.M.
Probabilistic principal component analysis
J. Roy. Stat. Soc. Ser. B 61 (1999), no.3, 611-622
Description: Principal component analysis is put into the framework of some statistical distribution. Estimates of some covariance matrix.
Tirao, Paulo
A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras
Proc. Amer. Math. Soc. 128 (2000), N10, 2875-2878
Description: Estimates on the dimension of homology with coefficients in the trivial module.
On the homology of graded Lie algebras
DOI: 10.1016/S0022-4049(00)00045-1
J. Pure Appl. Alg. 156 (2001), N2-3, 357-366
ICTP Preprint No.IC98060, 1998
Availability: Trieste preprints web site
On the homology of free nilpotent Lie algebras
J. Lie Theory 12 (2002), 309-323
Titchmarsh, E.C.
The Theory of Functions
2nd ed., Oxford U. Press, 1939; hardcover, small format, 454 pp.
Availability: hardcopy (book)
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Tits, J.L.
Une class d'algebres de Lie en relations avec les algebres de Jordan
Indag. Math. 24 (1962), 530-535
Description: KKT construction.
Sur le constantes de structure et le theoreme d'existence de l'algebres de Lie semi-simples
Publ. Math. IHES 31 (1966), 525-562
MR 35#5487
Zentralblatt: 0145.25804
Classification of algebraic semisimple groups
Algebraic Groups and Discontinuous Subgroups (ed. A.Borel and G.D.Mostow), Proc. Sympos. Pure Math. 9, AMS, 1966, 33-62
Free subgroups of linear groups
DOI: 10.1016/0021-8693(72)90058-0
J.Alg. 20 (1972), 250-270
MR 44#4105
Description: The celebrated Tits alternative (classics).
Availability: hardcopy; tits.pdf
Uniqueness and presentation of Kac-Moody groups over fields
J. Algebra 105 (1987), N2, 542-573
Tocon, Maribel (=Tocon Barroso, Maria Isabel)
The Kostrikin radical and the invariance of the core of reduced extended affine Lie algebras
Canad. Math. Bull. 1 (2008), no. 2, 298--309
Togo, Shigeaki
On splittable linear Lie algebras
J. Sci. Hiroshima Univ. Ser. A 18 (1955), 289-306
Description: Linear Lie algebras containing semisimple and nilpotent part of each its element.
On the derivation algebras of Lie algebras
Can. J. Math. 13 (1961), 201-216
Zentralblatt: 0096.25603
Derivations of Lie algebras
J. Sci. Hiroshima Univ. Ser. A-I 28 (1964), N2, 133-158
MR 0179299
Zentralblatt: 0129.02001
Derivations of Lie algebras
BAMS 72 (1966), 690-692
Description: When a Lie algebra has an outer derivation? If Z(L) not 0, and if M - ideal of codimension 1 containing Z(L), then [L,Z(M)] not Z(M).
Availability: hardcopy
Outer derivations of Lie algebras
DOI: 10.2307/1994323
Trans. Amer. Math. Soc. 128 (1967), 264-276
Description: Every Lie algebra L with [L,L] not L and Z(L) not 0, has an outer derivation (generalizing many previous results).
Availability: togo.pdf
Dimension of derivative algebras of Lie algebras
J. Sci. Hiroshima Univ. Ser. A-I 31 (1967), N1, 17-23
On a class of Lie algebras
J. Sci. Hiroshima Univ. Ser. A-I 32 (1968), No.1, 55-83
Description: Lie algebras satisfying (adx)^2 = 0 => adx = 0. Such algebras of small dimension.
Note on outer derivations of Lie algebras
J. Sci. Hiroshima Univ. Ser. A-I 33 (1969), N1, 29-40
MR 0245631
Zentralblatt: 0177.05702
Tolpygo, Alexei
Die Deformationen von Unteralgebren in Lieschen Algebren (in Russian)
Izv. Akad. Nauk Arm. SSR, Mat. 3 (1968), 470-478
Zentralblatt: 0257.17005
Ueber zweidimensionale nicht-Abelsche Kohomologien (in Russian)
Usp. Mat. Nauk 27 (1972), No.5, 251-252
Zentralblatt: 0263.55007
Cohomologies of parabolic Lie algebras
Math. Notes 12 (1972), 585-587
Zentralblatt: 0248.18029, 0256.18012
Description: H^*(B,B) = 0, for a (solvable) parabolic subalgebra of a complex semisimple Lie algebra.
Availability: tolpygo-matzametki.pdf
Universality of nonabelian cohomology
Math. USSR, Sb. 20 (1973), 283-296
Mat. Sb. 91(1973), 267-278
Zentralblatt: : 0298.18005
Two-dimensional cohomologies and the spectral sequence in the nonabelian theory
Selecta Math. Sov. 6 (1987), 177-197
Problems of group theory and homological algebra 1 (1977), 156-197
Zentralblatt: 0421.18005
The cohomology of nilpotent Lie algebras and its generating functions
DOI: 10.1070/RM1979v034n01ABEH002896
Russ. Math. Surv. 34 (1979), No.1, 243-244
Usp. Mat. Nauk 34 (1979), No.1, 245-246
Zentralblatt: 0427.17010
Cohomologies of infinite-dimensional Borel algebras
DOI: 10.1007/BF01056594
Ukr. Math. J. 42 (1990), No.9, 1137-1141
Zentralblatt: 0718.17018
Availability: 1990-cohomology.pdf
Estimation of the cohomology of Verma modules
Russ. Math. Surv. 48 (1993), N1, 193-194
Description: Statements about infinite-dimensional sl(2)-modules; H^*(N, Verma), N - nilpotent subalgebra of classical Lie algebra.
Availability: tol04801.ps
Lie algebra cohomology and generating functions
Homology Homotopy Appl. 6 (2004), no. 1, 59-85
Zentralblatt: pre02153104
Description: Cohomology of nilpotent part of a Borel subalgebra in various modules.
Availability: hardcopy (preprint)
Tolstykh, Vladimir
Elementary equivalence of infinite-dimensional classical groups
DOI: 10.1016/S0168-0072(99)00050-0
Ann. Pure Appl. Logic 105 (2000), N1-3, 103-156
Infinite-dimensional general linear groups are groups of universally finite width
arXiv:math.GR/0403223
Description: For what is finite width, see Bergman, arXiv:math.GR/0401304
DOI: 10.1007/s11202-006-0106-6
Infinite dimensional general linear groups have finite width
Siberian Math. J. 47 (2006), N5, 950-954
Tom, R.
Topology and linguistics
Essays on topology and related topics (Me'moires de'die's a` Georges de Rham), pp. 226--248, Springer, New York, 1970
Uspehi Mat. Nauk 30 (1975), no. 1(181), 199--221 (Russian translation)
MR 58#13987b
Tomber, Marvin L.
Lie Algebras of Type F
DOI: 10.2307/2032409
PAMS 4 (1953), No.5, 759-768
Lie algebras of types A,B,C,D, and F
TAMS 88 (1958), 88-106
Description: Forms over p=0 as derivation algebras of central simple Jordan algebras (earlier follows from Jacobson's results, here a direct proof is given).
Availability: 0-150.pdf
The history and methods of Lie-admissible algebras
Hadronic J. 5 (1981/82), no. 2, 360--430
MR 84h:17002
Description: A survey, incluing mutations algebras and deformations.
Availability: hardcopy
Tonder, Andre van
Cohomology and decomposition of tensor product representations of SL(2,R)
hep-th/0212149
Description: Infinite-dimensional representations.
Toom, Andrei
A Russian Teacher in America
URL: http://www.geocities.com/Athens/7762/rta.html http://www.inform.umd.edu/EdRes/Colleges/ARHU/Depts/CompLit/cmltgrad/JSchaub/ta_main/toom.html http://www.mccme.ru/edu/index.php?ikey=toom-03 http://shevkin.ru/?action=Page&ID=235
Journal of Mathematical Behavior 12 (1993), N2, 117-139
Topor, Rodney W.
Fundamental solutions of the eight queens problem
DOI: 10.1007/BF01934394
BIT Volume 22, Number 1 / March, 1982 Pages 42-52
Description: Group actions on a set of solutions.
Availability: 1982-fundamental.pdf
Torres-Torriti, Miguel and Michalska, Hannah
A software package for Lie algebraic computations
SIAM Rev. 47 (2005), no. 4, 722--745
Torstensson, A.
On the existence of orthogonal decompositions of the simple Lie algebra of type C_3
Comput. Sci. J. Moldova 8 (2000), no.1, 16-41
MR 2001g:17016
Description: Computer-aided proof (Maple) of nonextense of certain subclass of orthogonal decompositions in C_3.
Availability: hardcopy
Tousi, M. and Yassemi, S.
Tensor products of clean rings
Glasgow Math. J. 47 (2005), 501-503
Description: A commutative algebra is called clean if every element is the sum of an idempotent and a unit. The authors solve a question whther a tensor product of two clean algebras is clean, by providing counterexample.
Availability: clean-tensor.pdf
Towber, Jacob
Two new functors from modules to algebras
DOI: doi:10.1016/0021-8693(77)90211-3
J. Alg. 47(1977), 80-104
Availability: hardcopy
Young symmetry, the flag manifold, and representations of GL(n)
J. Alg. 61(1979), 414-462
Availability: hardcopy
Towers, David A.
A Frattini theory for algebras
DOI: 10.1112/plms/s3-27.3.440
Proc. LMS 27 (1973), 440-462
MR 55#427
Description: Frattini subalgebra is an intersection of all maximal subalgebras.
Availability: hardcopy
Lie algebras all whose proper subalgebras are nilpotent
Lin. Alg. Appl. 32(1980), 61-73
Availability: towers.pdf
On Lie algebras in which modular pairs of subalgebras are permutable
DOI: 10.1016/0021-8693(81)90269-6
J. Algebra 68 (1981), N2, 369-377
Frattini embeddings of ideals in modular Lie algebras
DOI: 10.1007/BF01193908
Arch. Math. 43 (1984), N2, 121-123
Description: Splitting over abelian ideals?
Availability: 1984-frattini.pdf
Minimal non-supersolvable Lie algebras
Alg. Groups Geom. 2 (1985), N1, 1-9
MR 86m:17006
Availability: hardcopy
Lattice automorphisms of Lie algebras
DOI: 10.1007/BF01197137
Arch. Math. 46 (1986), N1, 39-43
C-supplemented subalgebras of Lie algebras
arXiv:0712.3390
Availability: hardcopy
On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic
arXiv:0804.1468
Towers, David A. and Varea, Vicente R.
Elementary Lie algebras and Lie A-algebras
DOI: 10.1016/j.jalgebra.2006.11.034
J. Algebra 312 (2007), N2, 891-901
Description: A Lie algebras is called elementary if all its subalgebras have trivial Frattini ideal, and an A-algebra if every nilpotent subalgebra is abelian.
Townsend, C. and Feucht, D.
Designing and Programming Personal Expert Systems
Finansy i Statistika, Moscow, 1990 (Russian translation from Tab Books Inc., 1986); hardcover, 319 pp.
Availability: hardcopy (book)
Tracy, D. S. and Jinadasa, K. G.
Patterned Matrix Derivatives
DOI: 10.2307/3314938
The Canadian Journal of Statistics Vol. 16, No. 4 (Dec., 1988), pp. 411-418
Availability: 1988-patterned.pdf
Trefethen, Lloyd N and Bau, David III
Numerical Linear Algebra
SIAM, 1997
Description: Including Lanczos-like methods.
Availability: 1997-numerical.djvu
Tripathy, L. K. and Das, Bharatarshav and Pati, K. C.
Dynkin diagrams of hyperbolic Kac-Moody superalgebras.
J. Phys. A 36 (2003), no. 8, 2087--2097
Tripathy, K.C. and Patra, M.K.
Cohomology theory and deformations of Z(2) graded Lie algebras
J. Math. Phys. 31(1990), 2822-2831
Trishin, I.M.
Identities of irreducible representations of a three-dimensional simple lie algebra
DOI: 10.1007/BF01978983
Algebra and Logic 22 (1983), N3, 229-250
Troesch, Alain
Queleques calculs de cohomologie de compositions de puissances symmetriques
Comm. Alg. 30(2002), N7, 3351-3382
Description: Ext^* (Id, S^p S^p^k) and like in the category of functors from finite F_p-vector spcase to all F_p-vector spaces.
Availability: 120004492.pdf
A propos d'une question de Friedlander et Suslin. I. Une r'esolution injective des puissances sym'etriques twist'ees
Hopf preprints archive, 2003
Abstract: Some years ago, Friedlander and Suslin constructed an explicit injective resolution of twisted symmetric powers in the category of strict polynomial functors over a ground field of characteristic 2. The factors in this resolutions are given by direct sums of tensor products of (non twisted) symmetric powers. The case of a symmetric power twisted only once is a well-known result: it is some kind of Koszul complex. In characteritic p>2, nothing similar was known up to now, even for a single twist. In this paper, we construct such injective resolutions. The resolutions we construct are in fact "p-resolutions", that is, the differential does not vanish when composed twice, but only when composed p times. This result should unable us to constuct an injective resolution of any twisted functor if we know an injective resolution of the corresponding non twisted functor. This will be the subject of another paper.
Trofimov, V.V.
Canonical coordinates on orbits of the coadjoint representation of tensorial extensions of Lie groups
Rus. Math. Surv. circa 1993
Description: Lie algebras g\otimes R[x]/(x^k) are involved.
Availability: hardcopy
Zadachi po teorii grupp Lie i algebr Lie
MGU, 1990 (in Russian)
Availability: zadachi.djvu; Kolkhoz
Trofimov, V.V. and Fomenko, A.T.
Liouville integrability of Hamiltonian systems on Lie algebras
Rus. Math. Surv. 39 (1984), N2, 1-67
Zentralblatt: 0549.58024
Description: Poisson brackets, some analogs of Darboux theorem.
Availability: hardcopy
Geometry of Poisson brackets and methods of Liouville integration of systems on symmetric spaces
J. Sov. Math. 39 (1987), No.3, 2683-2746
Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Vol. 29, 3-108, 1987
Zentralblatt: 0664.58013
Description: A VINITI survey.
Algebra and geometry of integrable Hamiltonian differential equations
Faktorial, Moscow, 1995 (in Russian)
Zentralblatt: 0858.58026
Description: p. 241-249: classification of Lie algebra structures on the space of rectangular matrices given by [a,b] = axb - bxa for some fixed x.
Availability: Kolkhoz; hardcopy [printout of pages 237-249 only]
Riemannian geometry
J. Math. Sci. 109 (2002), No.2, 1345-1501
Itogi Nauki Tekh., Ser. Sovrem Mat. Prilozh., Temat. Obz. 76 (2002), VINITI, 5-262
Zentralblatt: 1032.53029
Description: A VINITI survey till 1985.
Truemper, K.
Effective Logic Computation
Wiley, 1998; hardcover, 476 pp.
Availability: hardcopy (book)
Truini, P. and Varadarajan, V.S.
Universal deformations of reductive Lie algebras
Lett. Math. Phys. 26(1992), 53-66
Tsay, R.S.
Analysis of Financial Time Series
Wiley, 2002; hardcover, 448 pp.
Availability: hardcopy (book)
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Tsemo, Aristide
Kahler, Poisson Geometry of CR Lie groups
arXiv:math.DG/0306121
Description: Among other, a notion of Kahlerian Lie algebra as an algebra endowed with map j satisfying identitiy like [j(x), j(y)] - [x,y] = j([j(x), y]) + [x, j(y)].
Non abelian cohomology: the point of view of gerbed tower
arXiv:math.CT/0301271, 20 pages
Tsou, S.-T. and Walker, A.G.
Metrisable Lie groups and algebras
Proc. R. Soc. Edinb., Sect. A 64, 290-304 (1957)
Zentralblatt: 0078.01803
Description: Lie algebras with nondegenerate invariant bilinear form.
Tsujishita, Toru
Continuous cohomology of the Lie algebra of vector fields
Memoirs of the American Mathematical Society 253 (1981), 154 pp.
Availability: Lbs-Hbs VR II Verkfræðibókasafn 512.55 Tsu
Homological method of computing invariants of systems of differential equations
Diff. Geom. Appl. 1 (1991), N1, 3-34
Abstract: A method is given of computing the E1-terms of the Vinogradov spectral sequence of involutive systems of differential equations. It is based on the formal geometric formalism, by which various useful concepts for the linear differential equations can also be utilized in studies of nonlinear systems of differential equations.
Tsygan, Boris L.
The homology of matrix Lie algebras over rings and Hochschild homology
UMN 38 (1983), 217-218
Rus. Math. Surv. pp. 198-199
Availability: hardcopy
Homologies of some matrix Lie superalgebras
Funct. Anal. Prilozh. 20 (1986), N2, 90-91
Zentralblatt: 625.17007
Description: A superanalogue of Loday-Quillen-Tsygan results: homology of general (single- and double- infinite), orthogonal, symplectic, and queer infinite Lie superalgebras over a superring A with coefficients in trivial and adjoint modules, relations to cyclic homology.
Availability: hardcopy
Cyclic homology
Operator Algebras and Noncommutative Geometry - II. Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Math. Sci. 121), Springer, 2004, 73-
Review: Proc. Edinburgh Math. Soc. 49 (2006), 757-759
Availability: cyclic-homology.djvu (whole book)
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Tuinema, G.M.
Money at Risk. Eeen portefeuillebenadering van marktrisicomanagement
Nederlands Inst. voor het Ban- en Effectenbedrijf, Amsterdam, 1996 (in Dutch); paperback
Availability: hardcopy (in books)
Tung, Michael M.
cs.SC/0409048
FORM Matters: Fast Symbolic Computation under UNIX
Computers & Mathematics with Applications, submitted
Abstract: We give a brief introduction to FORM, a symbolic programming language for massive batch operations.
Turaev, Vladimir
Topology of words
math.CO/0503683
Turiel, Francisco Javier
Integrabilite d'un tenseur de type (1,1) et structure symplectique du fibre cotangent
C. R. Acad. Sci. Paris 301 (1985), 923-925
Classification locale d'un couple de formes symplectiques Poisson-compatibles
C. R. Acad. Sci. Paris 308 (1989), No.20, 575-578
Availability: hardcopy
Classification locale simultane'e de deux formes symplectiques compatibles
Manuscr. Math. 82 (1994), No.3-4, 349-362
Zentralblatt: 0807.53028
Description: Nijenhuis tensor is involved.
Turing, A.
The extensions of a group
Compositio Mathematica 5 (1938), 357-367
Description: Pioneer work on identities among relations for the presentation of group. Related to group extensions.
The chemical basis of morphogenesis
Phil. Trans. Royal Soc. London Ser. B, 237 (1952), No.641
Description: Some symmetry is involved.
Turkowski, P.
Low-dimensional real Lie algebras
J. Math. Phys. 29 (1988), N10, 2139-2144
Description: All real Lie algebras of dimension <=8 admitting a nontrivial Levi decomposition.
Turner, William J.
Black box linear algebra with the linbox library
PhD Thesis, North Carolina State U., 2002
Description: The ideology is to consider matrix as linear operator by acting on vectors, and not by accessing matrix elements directly. Related symbolic computations.
Tuyman, G.M. and Wiegerinck, W.A.J.J.
Central extensions in physics
J. Geom. Phys. 4 (1987), N2, 207-258
Tvalavadze, M.V.
Simple decompositions of simple special Jordan superalgebras
arXiv:math.RA/0506046
Abstract: We classify decompositions of simple special finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic zero into the sum of two proper simple subsuperalgebras.
Simple decompositions of the exceptional Jordan algebra
arXiv:math.RA/0506051
Simple subalgebras of special simple Jordan algebras
DOI: 10.1016/j.jpaa.2008.03.030
Journal of Pure and Applied Algebra Volume 212, Issue 11, November 2008, Pages 2389-2400
arXiv:math.RA/0506050
Description: Over an algebraically closed field.
Tvalavadze, T.V.
Simple decompositions of simple Lie superalgebras
math.RA/0509065
Non-associative algebra and its applications, 401--429, Lect. Notes Pure Appl. Math., 246, Chapman & Hall/CRC, 2006
Tyurin, S.A.
Classification of deformations of a special Lie algebra of Cartan type
Mat. Zametki 24 (1978), 847-857
On Cartan subalgebras of a general Lie algebra of Cartan type
Math. USSR Sbornik 44 (1983), 491-500
Mat. Sbornik 116 (1981), 547-557
Zentralblatt: 0484.17007
The p-operation of the Zassenhaus algebra
Russ. Math. (Izv. VUZ) 42 (1998), N1, 78-80
Availability: UVA
Classification of tori in the Zassenhaus algebra
Russ. Math. (Izv. VUZ) 42 (1998), N2, 66-73
Availability: hardcopy
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