some bibliography: K

[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]

Kac, Victor G. and Kang, Seok-Jin

Trace formula for graded Lie algebras and Monstrous Moonshine
Representations of groups (Banff, AB, 1994), 141-154, CMS Conf. Proc. 16,
AMS, 1995
MR 96k:17044

Kac, V. G. and Kazhdan, D. A.

Structure of representations with highest weight of infinite-dimensional Lie algebras
DOI: 10.1016/0001-8708(79)90066-5
Adv. Math. 34 (1979), N1, 97-108
Description: Shapovalov determinant of Kac-Moody algebras.
Availability: 1979-structure.pdf

Kac, Victor and Lau, Michael and Pianzola, Arturo

Differential Conformal Superalgebras and their Forms
arXiv:0805.4243, 61 pp.

Kac, Victor G. and Leur, J.W. van de

Super boson-fermion correspondence
Ann. Inst. Fourier, 37(1987), no.4, 99-137
Description: Introduction to boson-fermion correspondence.

On classification of superconformal algebras
Strings '88 (ed S.J.Gates, C.R.Preitschopf and W.Siegel), World Scientific, 1989, 77-106
Zentralblatt: 0931.17018
Description: Super-generalizations of Virasoro, central extensions.
Availability: not at amazon

Kac, Victor G. and Martinez, C. and Zelmanov, E.

Graded simple Jordan superalgebras of growth one
Mem. Am. Math. Soc. 711 (2002), 140 p.
Zentralblatt: 0997.17020
Description: Two exceptional Jordan superalgebras whose Tits-Kantor-Koecher constructions are isomorphic to the exceptional superalgebra CK(6) of Neveu-Schwarz and Ramon types.
google books

Kac, Victor and Radul, A.

Poisson structure for restricted Lie algebras
The Gelfand Mathematical Seminars, 1997-1999, Birkhauser, 2000, 77-84
Zentralblatt: 0966.17014
Description: Poisson structures on the center of the restricted unversal envelope.
Availability: Google books; 2000-poisson.tar (2 pages are missing)

Kac, V. and Raina, A.K.

Highest Weight Representations of Infinite Dimensional Lie Algebras
World Sci., 1987; paperback, 145 pp.
Availability: hardcopy (book); absent on ozon

Kac, M. and Ulam, S.M.

Mathematics and Logic
Dover, 1992; paperback, 170 pp.
Availability: hardcopy (book); Kolkhoz (Russian edition)

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Kac, Victor G. and Wakimoto, Minoru

Integrable highest weight modules over affine superalgebras and number theory
Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkha"user. Prog. Math. 123, 415-456 (1994)
arXiv:hep-th/9407057
Zentralblatt: 0854.17028

Integrable highest weight modules over affine superalgebras and Appell's function
arXiv:math-ph/0006007, 54 pages
Abstract: ... representation theory of affine Lie superalgebras is quite different from that of affine Lie algebras...

Kac, V.G. and Wang, S.P.

On automorphisms of Kac-Moody algebras and groups
DOI: 10.1016/0001-8708(92)90063-Q
Adv. Math. 92 (1992), 129-195
Availability: kac-wang.pdf

Kac, V.G. and Weisfeiler, B.Yu.

Exponentials in Lie algebras of characteristic p
DOI: 10.1070/IM1995v045n01ABEH001632
Math. USSR Izv. 5 (1971), 777-803; Correction: 45 (1995), N1, 229
Izv. AN SSSR 35 (1971), 762-788; Correction: 58 (1994), N4, 224
MR 46#5408
Zentralblatt: 0252.17003, 0245.17007
Availability: im_5_777.pdf; IZV_45_1_C13.pdf

Kac, M.

Almost periodicity and the representation of integers as sums of squares
Amer. J. Math. 62 (1940), No.1/4, 122-126
Availability: 5.pdf

Kac, Victor G.

Graded Lie algebras and symmetric spaces
Funk. Anal. Prilozh. 2 (1968), N2, 93-94
Availability: hardcopy

O neprivodimykh predstavleniyakh algebr Lie klassicheskogo tipa (in Russian)
UMN circa 1972, 237-238
Availability: hardcopy

Description of filtered Lie algebras with which graded Lie algebras of Cartan type are associated
Math. USSR-Izv. 8 (1974), 801-835
MR 51#5685
Availability: hardcopy

Classification of simple Lie superalgebras
Funct. Anal. Prilozh. 9 (1975), No.3, 91-92
Description: Finite-dimensional over C.
Availability: hardcopy

Lie superalgebras
Adv. Math. 26 (1977), 8-96
MR 58:5803
Description: Representations of classical Lie superalgebras via the highest weight approach.
Availability: hardcopy

Characters of typical representations of classical Lie superalgebras
Comm. Alg. 5 (1977), 889-897
Description: Representation theory of classical Lie superalgebras is worked out via the highest weight approach.
Availability: hardcopy

A sketch of Lie superalgebra theory
DOI: 10.1007/BF01609166
Comm. Math. Phys. 53 (1977), N1, 31-64
MR 0442049
Zentralblatt: 0359.17009

Some remarks on nilpotent orbits
DOI: 10.1016/0021-8693(80)90141-6
J. Algebra 64 (1980), N1, 190-213
Description: Z-gradings in simple classical Lie algebras.
Availability: 1980-some.pdf

On simplicity of certain infinite-dimensional Lie algebras
Bull. Amer. Math. Soc. 2 (1980), no.2, 311-314
MR 82a:17008
Zentralblatt: 427.17012
Description: A (graded) contragredient Lie algebra with no finite neither affine Cartan matrix, contains a free 2-generated Lie algebra.

Infinite Dimensional Lie Algebras
URL: http://www.ams.org/bull/1987-16-01/S0273-0979-1987-15492-9/home.html http://techlibrary.ru/books.htm
3rd ed., Cambridge Univ. Press, 1995; paperback, 400 pp.
Review: Bull. Amer. Math. Soc. 16 (1987), 144-149 (of the 2nd ed., by Seligman)
Availability: hardcopy (book); google books; Kolkhoz

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Superconformal algebras and transitive group actions on quadrics
Commun. Math. Phys. 186 (1997), No.1, 233-252; Erratum: 217(2001), 697-698
Zentralblatt: 0886.17021
Availability: 71860233.ps; 12170697.pdf (erratum)

Vertex Algebras for Beginners
2nd ed., University Lecture Series, Vol. 10, AMS, 1998; paperback, 201 pp.
Availability: hardcopy (book); Kolkhoz; Euler's library

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Classification of infinite-dimensional simple linearly compact Lie superalgebras
Adv. Math. 139 (1998), 1-55
Preprint ESI 605(1999)
MR 99m:17006
Description: Classification of simple Lie superalgebras of polynomial vector fields; super-generalization of Spencer cohomologies.

Classification of supersymmetries
Proc. Intern. Congr. Math., Vol. I (Beijing, 2002), 319-344, Higher Ed. Press, Beijing, 2002
arXiv:math-ph/0302016

The story of superalgebras
Preprint
Description: An historical account.
Availability: kac.doc

Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek, Marian

Computing homology
Homology, Homotopy and Applications 5 (2003), No. 2, 233-256
Abstract: The aim of this paper is to provide a short introduction to computational homology based on cubical complexes. The discussed topics include cubical complexes, a reduction algorithm for computing homology of finitely generated chain complexes, and an algorithmic construction of homology of continuous maps via multivalued acyclic representations.

Computational Homology
DOI: 10.1007/b97315
Springer, 2004
Availability: comp-homol-2003.pdf (without toc, Draft of 2003 (?)) ; comp-homol-2000.ps (Draft of 2000 under the different title)

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Kadeishvili, T.

Measuring the noncommutativity of DG-algebras
J. Math. Sci. 119(2004), N4,
Description: including discussion of Hochschild cohomology and deformations.
Availability: fulltext-1.pdf

Kahyalar, Dilek

Generic elements of free color Lie superalgebras
Int. J. Pure Appl. Math. 26 (2006), no. 4, 573--579

Kajiura, Hiroshige and Stasheff, Jim

Homotopy algebras inspired by classical open-closed string field theory
math.QA/0410291
Description: "General scheme for deformation of open string structures (A(infinity)-algebras) by closed strings (L(infinity)-algebras)".

Open-closed homotopy algebra in mathematical physics
J. Math. Phys. 47, 023506 (2006) (28 pages)

Kaledin, D.

Cyclic homology with coefficients
Algebra, Arithmetic and Geometry. Volume I: In Honor of Y.I. Manin, Progress in Mathematics , Vol. 269 Tschinkel, Yuri; Zarhin, Yuri G. (Eds.), Springer, 2008

Kallen, Wilberd van der

Infinitesimally Central Extensions of Chevalley Groups
DOI: 10.1007/BFb0060175
LNM 356 (1973)
Description: Including unversal central extensions of corresponding Lie algebras.

Lie algebra cohomology
Seminar on Hypergeometric Functions, Communications of the Mathematical Institute Utrecht University 18 (1994), 94-104
Description: Historical and conceptual (like view of Hochschild-Serre spectral sequence as Grothendieck spectral sequence) short introduction.
Availability: liealgcoh.ps

Kaltofen, Eric

Challenges of symbolic computation: My favorite open problems
J. Symb. Comp. 29(2000), 891-919
Availability: problems.djvu

Kamalov, M.K.

Rasperdelenie kvadratichnykh form
Izd. Akad. Nauk. Uzb. SSSR, Tashkent, 1958
Availability: 1958-raspredelenie.djvu

Kamber, Franz W. and Peter W. Michor

Completing Lie algebra actions to Lie group actions
Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 1-10

Kammerlingh Onnes, H. and Keesom, W.H.

Die Zustandsgleichung
Encyklopaedie der Mathematischen Wissenschaften, Band V1, Heft 5, Teubner, Leipzig, 1912, 615-945
Availability: hardcopy (book)

Kamiya, Noriaki

The Wedderburn principal theorem, nilpotency and solvability for Freudenthal-Kantor triple systems
Matematica Contamporanea 16 (1999), 129-135
Description: (remark) all Lie algs (over C) may be obtained from such triple systems; refs to other author's work on this theme.
Availability: journal web site; 16_8.ps

Kamiya, Noriaki and Okubo, Susumu

A construction of simple Jordan superalgebra of $F$ type from a Jordan--Lie triple system
URL: http://dx.doi.org/10.1007/s102310100045 http://link.springer.de/link/service/journals/10231/bibs/2181003/21810339.htm
Ann. Mat. Pura Appl. IV. Ser. 181 (2002) 3, 339-348

Construction of Lie superalgebras D(2,1;alpha), G(3) and F(4) from some triple systems
Proc. Edinb. Math. Soc. 46(2003), no.1, 87-98
Zentralblatt: 1037.17008

A construction of simple Lie subalgebras of certain types from triple systems
Bull. Austral. Math. Soc. 69 (2004), no. 1, 113--123
Zentralblatt: 1053.17004

Kamke, E.

Spravochnik po obyknovennym differencialnym uravneniyam
URL: http://www.vargin.mephi.ru/book%D1%CF%D0.html http://techlibrary.ru/books.htm
2nd ed., Gos. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (in Russian); hardcover, 703 pp.
Availability: hardcopy (book); amazon

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Kamran, Niky

Exterior differential systems and Cartan-Kahler theory
Acta Applicandae Math. 87(2005), N1-3, 147 - 164
Description: An "elementary" introduction.
Availability: JR51173817454626.pdf

Kamupingene, Alfred H. and Ky, Nguyen Anh and Palev, Tchavdar D.

Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)+gl(2) basis. I. Typical representations.
Journal of Mathematical Physics; Mar1989, Vol. 30 Issue 3, p553

Kaneyuki, Soji

Compactification of parahermitian symmetric spaces and its applications, II: Stratifications and automorphism groups
MSRI Preprint #2002-021
Description: simple graded Lie algebras
Availability: 2002-021.ps

Kang, Seok-Jin

Toward hyperbolic Kac-Moody Lie algebras
Algebra and topology, Proc. 5th Math. Workshop, Taejon/Korea 1990, Proc. KIT Math. Workshop 5, 1990, 205-226
Zentralblatt: 0733.17011
Description: Some third degree cohomology evaluated via Hochschild-Serre spectral sequence.

Kac-Moody Lie algebras, spectral sequences, and the Witt formula
Trans. Amer. Math. Soc. 339 (1993), 463-495
Zentralblatt: 0794.17014
Description: Relations in some special graded generalized nilpotent Lie algebras are connected with some third homology group!
Availability: 1993-kac-moody.pdf

Generalized Kac-Moody algebras and the modular function j
Math. Ann. 298 (1994), 373-384

Root multiplicities of graded Lie algebras
Contemp. Math. 194 (1996), 161-
Description: Color algebras; reasoning around something similar to "Euler charactersitic preservation under homology" principle.
Availability: hardcopy (book)

Graded Lie superalgebras and the superdimension formula
DOI: 10.1006/jabr.1997.7352
J. Alg. 204 (1998), 597-655
Description: Color algebras; formula generalizing Witt formula for dimension of graded components of a free Lie algebra.
Availability: kang.pdf

Kang, Yi-Fang and Bai, Cheng-Ming

Refinement of Ado's theorem in low dimensions and application in affine geometry
DOI: 10.1080/00927870701649382
arXiv:0711.3836
Comm. Alg. 36 (2008), N1, 82-93
Zentralblatt: pre05241286
Description: Minimal degree of faithful represntations for Lie algebras of dimenison <= 4.

Kang, Seok-Jin and Kim, Chang Heon and Koo, Ja Kyung and Oh, Young-Tak

Graded Lie superalgebras and super-replicable functions
DOI: 10.1016/j.jalgebra.2004.11.005
J. Algebra 285 (2005), N2, 531-573
Description: "Euler-Poincare principle" for Lie superalgebras referred to and utilized in \S 3.
Availability: science-1.pdf

Kang, Seok-Jin and Kwon, Jae-Hoon

Graded Lie superalgebras, supertrace formula, and orbit Lie superalgebras
math.RT/9809025
Proc. London Math. Soc. 81(2000), 675-724
Description: Section 3 - generic theory for homology for (color) Lie superalgebras.
Availability: hardcopy

Kang, Seok-Jin and Lee, Dong-il and Lee, Kyu-Hwan and Park, Hyungju

Linear algebraic approach to Gr�bner-Shirshov basis theory
DOI: 10.1016/j.jalgebra.2007.02.001
J. Algebra 313 (2007), N2, 988-1004
Description: A new algorithm.

Kantor, I.L.

Classification of irreducible transfinitely differential groups
Sov. Math. Dokl. 5 (1965), 1404-1407
Zentralblatt: 0286.17011
Description: Poisson bracket, (usual) Kantor's graded constructions. Some classification problem is reduced to finding all maximal nonsemisimple subalgebras in classical Lie algebras.
Availability: hardcopy

Simple graded infinite-dimensional Lie algebras
Dokl. Akad. Nauk SSSR 179 (1968), 534-537
Soviet Math. Dokl. 9 (1968), 409-412
Zentralblatt: 0174.32401

Graded Lie algebras
Trudy Sem. Vektor. Tenzor. Analizu 15 (1970), 227-266
Zentralblatt: 0221.17008

Certain generalizations of Jordan algebras
Trudy Sem. Vektorn. Tenzor. Anal. 16 (1972), 407-499
MR 48#351
Zentralblatt: 0272.17001
Description: Construction, assigning to any bilinear operator an (infinite-dimensional) graded Lie algebra. (Classification of?) Z-gradings in simple classical Lie algebras.

Models of exceptional Lie algebras
Sov. Math. Dokl. 14 (1973), 254-258
Dokl. Akad. Nauk SSSR 208 (1973), 1276-1279
Zentralblatt: 0298.17009

Terminal trilinear operators
Algebra Logic 28 (1989), No.1, 25-40
Zentralblatt: 0681.17002
Availability: hardcopy

Extension of the class of Jordan algebras
Algebra Logika 28 (1989), No.2, 174-180
Algebra Logic 28 (1989), No.2, 117-121
Zentralblatt: 0689.17026
Description: Related to Massey brackets?

A universal conservative algebra
Sib. Math. J. 31 (1990), No.3, 388-395
Sib. Mat. Zh. 31 (1990), No.3(181), 30-38
Zentralblatt: 0711.17003

The universal graded Lie algebra
Lie theory, differential equations and representation theory, 1990, 227-231
Zentralblatt: 0746.17015

Jordan and Lie superalgebras determined by a Poisson algebra
Second Siberian winter school ``Algebra and Analysis (ed. I.A. Aleksandrov et al.), AMS Transl. Vol. 151, 1992, 55-80
Zentralblatt: 0803.17012

Kantor, Issai L. and Shpiz, Gregory

Graded representations of graded Lie algebras and generalized representations of Jordan algebras
Noncommutative Geometry and Representation Theory in Mathematical Physics, Contemp. Math. 391 (2005), 167-174
Zentralblatt: 1115.17011
Availability: google books

Kantor, I.L. and Skopets, I.M.

Some results on Freudenthal triple systems
Selecta Math. Sov. 2 (1982), 293-305
Trudy Sem. Vektorn. Tenz. Analizu 18 (1978), 250-263
Zentralblatt: 0443.17006
Description: KKT construction.

Kantor, I.L. and Solodovnikov, A.S.

Hypercomplex Numbers
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/1/835.djvu
Nauka, Moscow, 1973 (in Russian)
Zentralblatt: 0669.17001
Availability: Kolkhoz; absent on amazon

Kantor, Issai L. and Trishin, Ivan M.

Identical relations for the forms with a Young symmetry
Geom. Dedicata 45 (1993), 307-321
Zentralblatt: 0774.20010
Availability: hardcopy

Formulas for powers and functions of matrices
Linear Algebra Appl. 186, 1-13 (1993)
Zentralblatt: 0776.15017

On a concept of determinant in the supercase
Comm. Algebra 22 (1994), No.10, 3679-3739
Zentralblatt: 0805.15003
Description: Different from the Berezenian.

Kantorovich, L.V. and Akilov, G.P.

Funkcionalnyi analiz
3rd ed., Nauka, 1984 (in Russian); hardcover, 752 pp.
Availability: hardcopy (book)

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Kaplansky, Irving

Orthogonal similarity in infinite-dimensional spaces
DOI: 10.2307/2032449
Proc. AMS 3 (1952), No. 1, 16-25
Availability: 1952-orthogonal.pdf

Seminar on simple Lie algebras
BAMS September 1954, 470-471
Description: A description of all modular simple algebras known at that time; generalized Witt algebras.
Availability: hardcopy (stapled together with Curtis' paper in the same volume)

An Introduction to Differential Algebra
Hermann, Paris, 1957
Zentralblatt: 0083.03301
Availability: Kolkhoz; absent on amazon

Lie algebras of characteristic p
DOI: 10.2307/1993138
TAMS 89 (1958), 149-183
Zentralblatt: 0082.25103
Description: Description of rank 1 simple Lie algebras.

"Problems in the theory of rings" revisited
DOI: 10.2307/2317376
Amer. Math. Monthly 77 (1970), No. 5, 445-454
Zentralblatt: 0208.29701
Availability: 0.pdf

Lie Algebras and Locally Compact Groups
The Univ. of Chicago Press, 1974; paperback, 148 pp.
Zentralblatt: 0223.17001
Availability: hardcopy (book)

Commutative Rings
The Univ. of Chicago Press, revised ed., 1974
Availability: 1974-commutative.djvu; Kolkhoz

Three-dimensional division algebras. II
Houston J. Math. 1 (1975), 63-79
Zentralblatt: 0355.17007

Three-dimensional division algebras
DOI: 10.1016/0021-8693(76)90202-7
J. Algebra 40 (1976), N2, 384-391
Zentralblatt: 0355.17006
Availability: science-3.pdf

Jacobson's lemma revisited
J. Alg. 62 (1980), 473-476
Zentralblatt: 0425.16020
Description: Jacobson's lemma: over p=0, if A and B are matrices such that [A,AB-BA] = 0, then AB-BA is nilpotent; reasonings about different generalizations.
Availability: hardcopy

Superalgebras
Pacific J. M. 86 (1980), N1, 93-98
MR 586871
Zentralblatt: 0438.17003
Description: An interesting account of the author's activity in the subject.
Availability: hardcopy

Some simple Lie algebras of characteristic 2
DOI: 10.1007/BFb0093357
Lie algebras and Related Topics, Lect. Notes Math. 933 (1982), 127-129
Zentralblatt: 0493.17005
Availability: 1982-some.pdf

The Virasoro algebra
DOI: 10.1007/BF01205660
Comm. Math. Phys. 86 (1982), 49-54
MR 0678001
Zentralblatt: 0515.17007

Algebras with many derivations
Aspects of mathematics and its applications, Collect. Pap. Hon. L. Nachbin, 1986, 431-438
Zentralblatt: 0592.17005
Description: Nonassociative algebras whose derivation algebra is as large as possible.

Z_2-graded algebras
Ill. J. Math. 35 (1991), No.1, 85-92
Zentralblatt: 0692.17010
Zbl Review: ... the structure of a Lie superalgebra in which the multiplication of odd elements is as free as possible. There is a parallel result for ordinary Lie algebras.

Fields and Rings
2nd ed., Univ. of Chicago Press, 1995
Availability: google books; fields-and-rings.tar (pages v-vi,x,149-156 only)

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Kaplansky, Irving and Santharoubane, L.J.

Harish-Chandra modules over the Virasoro algebra
Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 217-231 (1985)
Zentralblatt: 0589.17013

Kapovich, Misha

Lectures on the Geometric Group Theory
Sept. 2005
Description: Including Tits alternative.

Kapovich, Michael and Millson, John J.

On the deformation theory of representaions of fundamental groups of compact hyperbolic 3-manifolds
Preprint, 1994
Availability: hardcopy

Kappe, Luise-Charlotte and Morse, Robert Fitzgerald

On commutators in groups
Groups St. Andrews 2005. Vol. 2, 531--558, London Math. Soc. Lecture Note Ser.,
340, Cambridge Univ. Press, Cambridge, 2007
Description: A survery when every elelemnt in a group aommutant is a commutator

Kapranov, M.M.

On the q-analog of homological algebra
q-alg/9611005
Abstract: ... an attempt to generalize some basic facts of homological algebra to the case of "complexes" in which the differential satisfies the condition $d^N=0$ instead of the usual $d^2=0$.

Karaali, Gizem

Constructing r-matrices on simple Lie superalgebras
DOI: 10.1016/j.jalgebra.2004.07.005
J. Algebra 282 (2004), 83-102
Zentralblatt: (me)
Availability: hardcopy

A new Lie bialgebra structure on sl(2,1)
Contemp. Math. 413 (2006), 101-122
arXiv:math.RA/0410473

Dynamical quantum groups---the super story
Hopf algebras and generalizations, 19--52, Contemp. Math., 441, Amer. Math. Soc., Providence, RI, 2007
arXiv:math/0508556
Description: (Q|C)YBE, R-matrices.

Karabegov, Alexander V. and Schlichenmaier, Martin

Almost Kaehler deformation quantization
arXiv:math.QA/0102169
Description: Nijenhuis tensor associated with a complex structure.

Kargapolov, M.I. and Merzlyakov, Yu.I.

Osnovy teorii grupp
Nauka, 1982 (in Russian); hardcover, small format, 288 pp.
Availability: hardcopy (book); absent on ozon

Karasev, M.V. and Maslov, V.P.

Nonlinear Poisson brackets. Geometry and quantization
Nauka, 1991 (in Russian)
Zentralblatt: 0731.58002
Description: Dirac brackets.
Availability: Kolkhoz; 1991-nonlinear.djvu; amazon

Kargapolov, M.I.

Ueber ein Problem von O.Yu.Schmidt (in Russian)
Sib. Mat. Zh. 4 (1963), 232-235
Description: A locally-finite infinite group, all whose proper subgroups are finite, is quasi-cyclic. A locally-finite group is finite iff all its abelian subgroups are finite.

On finitely generated linear group
Alg. i Logika 6 (1967), N5, 17-20
Description: Any finitely-generated linear group over p=0 is almost-without-torsion (over p>0 this is wrong) (seemingly, this is an easy consequence of the Tits alternative). In fact, this was proved earlier by Selberg.
Availability: hardcopy

Kargapolov, M.I. and Merzlyakov, Yu.I.

Beskonechnye gruppy (in Russian)
Alg. Top. Geom. 1966, VINITI, 57-

Osnovy teorii grupp
3rd ed., Nauka, 1982
Availability: hardcopy (book); Kolkhoz

Karlin, Samuel and Rinott, Yosef

M-Matrices as covariance matrices of multinormal distributions
DOI: 10.1016/0024-3795(83)80027-5
Linear Algebra and its Applications Volumes 52-53, July 1983, Pages 419-438
Availability: 1983-m.pdf

Karlin, S. and Studden, W.J.

Tchebycheff Systems: With Applications in Analysis and Statistics
Nauka, 1976 (Russian translation from Interscience); hardcover, 568 pp.
Availability: hardcopy (book); Kolkhoz' obmennik (Russian edition)

Karoubi, Max

K-Theory
Mir, 1981 (Russian translation from Springer, 1978)
Availability: Kolkhoz

Homologie cyclique des groupes et des algebres
CRAS 297 (1983), 381-384
MR 85g:18012

Formule de Kunneth en homologie cyclique. I
CRAS 303 (1986), N12, 527-530

Formule de Kunneth en homologie cyclique. II
CRAS 303 (1986), N13, 595-598
Availability: Central Icelandic library, 3rd floor.

Homologie cyclique et K-theorie
Asterisque 149 (198?), 147pp.
Availability: Kolkhoz

K-theory. An elementary introduction
arXiv:math.KT/0602082

Karoubi, M. and Villamayor, O.E.

Homologie cyclique d'algebres de groupes
CRAS 311(1990), 1-3

Karp, C.

Languages with expressions of infinite length
Amsterdam, 1964

Karpel, E.G.

Poslednii' put'
URL: karpel/Karpel.pdf.bz2
MCCME, 2007
Description: Memoirs on Berezin.

Karpilovsky, Gregory

The Schur Multiplier
Oxford University Press, 1987

Karyagina, A.Kh.

K postroeniyu kartanovskogo prodolzheniya nilpotentnoi chasti klassicheskoi algebry Lie tipa A_3
Abstracts from the 3rd All-Russian school-conference of young scientists, Trudy Mat. Centra im. N.I. Lobachevskogo 21 (2003), 131-133

Kasch, Friedrich

Moduln und Ringe
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/1/837.djvu
Mir, 1981 (Russian translation from Teubner, Stuttgart, 1977)
Availability: Kolkhoz

Kashaev, R.M. and Saveliev, M.V. and Savelieva, S.A. and Vershik, A.M.

On Nonlinear Equations Associated With Lie Algebras Of Diffeomorphism Groups Of Two-Dimensional Manifolds.
Preprint, 1990, 14 pp.
To be publ. in Vol.'Ideas and Methods in Mathematics and Physics', in Memory of Raphael Hoegh-Krohn
Description: "Continuum-graded" Lie algebras of Saveliev-Vershik.

Kashuba, Irina

Variety of Jordan algebras in small dimensions
Algebra Discrete Math. 2006, no. 2, 62--76

Kass, S.N.

Explicit decompositions of some tensor products of modules for simple complex Lie algebras
Comm. Algebra 15, 2251-2261 (1987)

Kass, Seymour and Whitthoft, William G.

Irreducible Polynomial Identities in Anticommutative Algebras
DOI: 10.2307/2036791
Proceedings of the American Mathematical Society, Vol. 26, No. 1 (Sep., 1970), pp. 1-9
Description: All homogeneous identities of degree <=4 in anticommutative algebras.
Availability: 1970-irreducible.pdf

Kassel, Christian

Kahler differentials and coverings of complex semisimple Lie algebras extended over a commutative algebra
DOI: 10.1016/0022-4049(84)90040-9
J. Pure Appl. Alg. 34 (1984), 265-275
Availability: 1984-kahler.pdf

A Kunneth formula for cyclic cohomology of Z/2-graded algebras
URL: http://134.76.163.65/agora_docs/161138TABLE_OF_CONTENTS.html http://www.springerlink.com/openurl.asp?genre=article&issn=0025-5831&volume=275&issue=4&spage=683
Math. Ann. 275 (1986), N4, 683-699
Availability: hardcopy

Algebres enveloppantes et homologie cyclique
CRAS 303 (1986), N16, 779-782
Description: Hochschild and cyclic homology of U(L) in terms of differential forms and the Poisson brackets on S(L).

Cyclic homology of differential operators, the Virasoro algebra and a $q$-analogue
DOI: 10.1007/BF02102632
Comm. Math. Phys. Volume 146, Number 2 (1992), 343-356
MR 1165187
Zentralblatt: 0761.17020

Quantum Groups
URL: http://techlibrary.ru/books.htm http://www.springer.com/math/algebra/book/978-0-387-94370-1
Springer, 1995
Phasis, 1999 (Russian)
Availability: Kolkhoz

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Kassel, C. and Loday, J.-L.

Extensions centrales d'algebres de Lie
Ann. Inst. Fourier 32 (1982), N4, 119-142
Zentralblatt: 0485.17006
Description: Including relation between crossed modules and H^3.
Availability: hardcopy

Kassel, C. and Rosso, M. and Turaev, V.

Quantum Groups and Knots Invariants
Inst. Comput. Issled., Moscow, 2002 (Russian translation from SMF, 1997); paperback, 139 pp.
Zentralblatt: 1022.17008
Availability: hardcopy (book); Kolkhoz' obmennik

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Kassel, Christian and Turaev, Vladimir

Braid Groups
DOI: 10.1007/978-0-387-68548-9
Graduate Texts in Mathematics, Vol. 247, Springer, 2008

Kassel, Christian and Wambst, Marc

Alg�bre homologique des N-complexes et homologie de Hochschild aux racines de l'unit�
Prebubl. IRMA, 1997, 011
Description: Alternative description of Hochschild homology as homology of some parametrized complexes at roots of unity

Katamadze, R. D.

Homology and cohomology groups of the group homomorphism
DOI: 10.1007/s10958-008-9071-x
Journal of Mathematical Sciences Volume 152, Number 3 / July, 2008 Pages 323-329

Kath, Ines

Nilpotent metric Lie algebras of small dimension
arXiv:math.DG/0505688
J. Lie Theory 17 (2007), no. 1, 41--61
Description: Metric Lie algebras are Lie algebras equipped with a non-degenerate invariant inner product.

Kath, Ines and Olbrich, Martin

Metric Lie algebras with maximal isotropic centre
Math. Z. 246 (2004), no. 1-2, 23-53
arXiv:math.DG/0209366
Description: Also nice historical survey.

On the structure of pseudo-Riemannian symmetric spaces
arXiv:math.DG/0408249
Description: Continuation of theme of the authors: Lie algebras with involutions, metric Lie algebras, certain "quadratic cohomology" and its structural interpretation (extensions).

Metric Lie algebras and quadratic extensions
Transformation Groups 11 (2006), N1, 87 - 131
arXiv:math.DG/0312243
http://springerlink.metapress.com/openurl.asp?genre=article&issn=1083-4362&volume=11&issue=1&spage=87
Description: Metric Lie algebras are Lie algebras with a non-degenerate invariant symmetric bilinear form. Certain 2-dimensional cohomology is involved.

The classification problem for pseudo-Riemannian symmetric spaces
arXiv:math.DG/0612101, 55 pp.
Recent developments in pseudo-Riemannian Geometry, ESI Lectures in Mathematics and Physics, EMS Publishing House
Description: Metric Lie algebras, see previous papers.

New examples of indefinite hyper-K�hler symmetric spaces
DOI: 10.1016/j.geomphys.2007.02.004
J. Geom. Phys. 57 (2007), N8, 1697-1711
Description: Metric Lie algebars and quadratic cohomology.

Kato, T.

Perturbation theory for linear operators
Mir, 1972 (Russian translation from Springer, 1966)
Availability: perturbation.djvu; Kolkhoz (Russian edition)

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Kaufman, V.Sh.

Yazyki programmirovaniya. Koncepcii i principy (in Russian)
Radio i Svyaz, Moscow, 1993
Description: p. 374-377: comparison of object-oriented programming with math concepts like homomorphism, commutative diagrams, etc.

Kavian, M. and McLenaghan, R.G. and Geddes, K.O.

Application of genetic algorithms to the algebraic simplification of tensor polynomials
ISSAC'97, ACM, 93-100
Availability: genetic.djvu

Kawamoto, Naoki

On prime ideals of Lie algebras
Hiroshima Math. J. 4 (1974), 679--684
MR 51#625
Availability: hardcopy

On G-graded automorphisms of generalized Witt algebras
Contemp. Math. 184 (1995), 225-230
Zentralblatt: 0841.17011
Availability: hardcopy (book)

Derivations of group algebras of the infinite dihedral group
Kim, A. C. (ed.) et al., Groups - Korea '94. Proceedings of the international conference, Pusan, Korea, August 18-25, 1994. Berlin: Walter de Gruyter. 163-171 (1995)

Simple subalgebras of generalized Witt algebras of characteristic zero
Groups St Andrews 1997 in Bath, Vol. 2 (ed. C. M. Campbell, E. F. Robertson, N. Ruskuc, G. C. Smith), LMS Lect. Notes, Cambridge U. Press, 1999
Description: A short survey about construction and structural properties of various generalizations of Witt algebra.
Availability: hardcopy

Kawamoto, Naoki and Mitsukawa, Atsushi and Nam, Ki-Bong and Wang, Moon-Ok

The automorphisms of generalized Witt type Lie algebras
J. Lie Theory 13(2003), No. 2, 573--578

Kawazumi, Nariya

An application of the second Riemann continuation theorem to cohomology of the Lie algebra of vector fields on the complex line
math.KT/0508390, 17 pages
Description: Cohomology of W_1 (over C) in module of tensor densities.

Loday--Quillen--Tsygan Theorem for Coalgebras
math.KT/0411661
Description: Chevalley--Eilenberg--Lie homology of the Lie coalgebra of infinite matrices over a coassociative coalgebra $C$ is generated by the cyclic homology of the underlying coalgebra $C$ as an exterior algebra.

Kazarin, L. S.

On factorizable groups
Dokl. Akad. Nauk SSSR 256 (1981), no. 1, 26--29
MR 82j:20064

The product of two nilpotent groups
Problems in group theory and homological algebra, Yaroslav. Gos. Univ., 62--66, 1981
MR 84h:20025
Zentralblatt: 0486.20017

Nilpotent algebras and their applications
DOI: 10.1134/S0081543807050069
Proceedings of the Steklov Institute of Mathematics Volume 257, Supplement 1 / July, 2007 Pages S86-S99
Description: Finite-dimensional nilpotent associative algebras. Interplay between groups and algebras.

Kazachkov, Ilya

Algebraic Geometry over Lie Algebras
math.AG/0605248
Description: A survey.

Kazhdan, David

Lecture notes in Motivic Integration
Description: These are actually lectures on model theory with emphasis on applications in algebra.

Kazhdan, David and Nistor, Victor and Schneider, Peter

A proof of Baum-Connes conjecture for reductive p-adic groups
Preprint, 1996, 17 pp.
Description: Involves PI-algebras, cyclic cohomology.
Availability: hardcopy

Kazhdan, D. and Verbitsky, M.

URL: http://imperium.lenin.ru/~verbit/My_papers.html
Quantum Deformations of Algebras and Their Representations, Israel Math. Conf. Proc. 7 (1993)
Description: Cohomology of the restricted quantum algebra.
Availability: hardcopy (book)

KEARNES, KEITH A. and TSCHANTZ, STEVEN T.

AUTOMORPHISM GROUPS OF SQUARES AND OF FREE ALGEBRAS
DOI: 10.1142/S0218196707003615
International Journal of Algebra and Computation, Vol. 17, No. 3 (2007) 461-505
Abstract: We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, free, algebraic structure.

Keedwell, A.D.

On Sudoku squares
Bull. Inst. Comb. Appl. 50, 52-60 (2007)
Zentralblatt: pre05178940

Kegel, Otto H.

Zur Nilpotenz gewisser assoziativer Ringe
Math. Ann. 149 (1963), 258-260
MR 28#3049
Description: Hilfssatz. Let an associative ring R = A + B, A, B - additive subgroups. Then for and n there is a number N such that each element r_1 ... r_N is representable as s + t, where s is a sum of elements r a_1 ... a_k r', where k >= n, a_i - elements of A, analogous for t and B. From here follows that a sum of two nilpotent subrings is nilpotent.
Availability: hardcopy

On rings that are sums of two subrings
DOI: 10.1016/0021-8693(64)90026-2
J. Algebra 1 (1964), N2, 103-109
Description: Generalizations of the results of the previous article.
Availability: 1964-rings.pdf

A remark on maximal subrings
Michigan Math. J. 11 (1964), no. 3, 251-255
Description: Results of the maximal subring of a ring which is solvable (in particular, it is an ideal).

Keisler, H. Jerome

On some results of Jonsson and Tarski concerning free algebras
Math. Scand. ?(1961), 101-106
Description: Results of a paper of Jonsson-Tarski about free universal algebras are improved.

A complete first-order logic with infinitary predicates
Fundam. Math. 52(1963), 177-203
Zentralblatt: 0115.00604
Description: An attempt to extend first-order theory with quantifiers over infinite set of variables.

Logic with the quantifier 'there exist uncountably many'
Ann. Math. Logic 1 (1970), 1-93

Model theory for infinitary logic, logic with countable conjunctions and finite quantifiers
North-Holland, 1971

Kelarev, Andrei V.

Ring Constructions and Applications
World Sci., 2001
Description: Including gradings in matrix algebras.
Availability: google books

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On graded rings and varieties
Fund. Prikl. Mat. 8 (2002), N3, 721-727
Description: Description of varieties of (associative) rings closed under a (nondirect) sum of two subrings.

Keller, Frank and Waldmann, Stefan

Formal deformations of Dirac structures
DOI: 10.1016/j.geomphys.2006.08.005
J. Geom. Phys. 57 (2007), N3, 1015-1036
Description: This is _not_ Dirac brackets.
Availability: 2006-jgp.pdf

Deformation theory of courant algebroids via the Rothstein algebra
arXiv:0807.0584
Description: Purely algebraic.

Keller, Bernhard

On the cyclic homology of ringed spaces and schemes
Documenta Math. 3 (1998), 231-259
Description: Related to notion of cyclic and other homology of categories.

Hochschild cohomology and derived Picard groups
J. Pure Appl. Algebra 190 (2004), N1-3, 177-196
arXiv:math.KT/0310221
Description: Interpretation of the Hochschild cohomology as the Lie algebra of the derived Picard group.

Keller, Joseph B.

Multiple eigenvalues
arXiv:0711.3948
Description: Accurate calculation of dimension of spaces of matrices having prescribed Jordan form. Probably well-known.

Kemer, A.R.

Varieties of Z_2-graded algebras
Math. USSR Izv. 25 (1985), 359-374
Description: Every (associative) PI-algebra has a nilpotent ideal modulo which it is verbally semiprime. Description of verbally semiprime algebras modulo verbally prime ones (and modulo PI-equivalence).

Ideals of Identities of Associative Algebras
AMS, 1991; hardcover, 81 pp.
Zentralblatt: 0732.16001
Availability: hardcopy (book); amazon; google books

The standard identity in characteristic p a conjecture of I.B. Volichenko
DOI: 10.1007/BF02764837
Israel Journal of Mathematics Volume 81, Number 3 / October, 1993 Pages 343-355
Description: Any associative PI-algebra over a field of characteristicp satisfies the standard identity.

On the multilinear components of the regular prime varieties
Methods in Ring Theory (ed. V. Drensky, S.K. Sehgal, A. Giambruno), M.Dekker, 1998, 171-
Availability: prime.tar (first 3 pages only)

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google books

On some problems on PI-theory in characteristic p connected with dividing by p
Proceedings of the Third International Algebra Conference (ed. Y.Fong, L.-S.Shiao, E.Zelmanov), Springer, 2003, 53-65
Availability: pi.tar (few pages only)
google books

Kendall, W. S

Computer algebra in probability and statistics
(1993) Statistica Neerlandica 47, 2-25

Kepczyk, M. and Puczylowski, E.R.

On radicals of rings which are sums of two subrings
DOI: 10.1007/BF01323977
Arch. Math. 66 (1996), N1, 8-12
Availability: 1996-radicals.pdf

Rings which are sums of two subrings satisfying polynomial identities
DOI: 10.1081/AGB-100002168
Comm. Alg. 29 (2001), N5, 2059-2065
Description: Towards a conjecture: is such a ring PI? A survey of previous works on the theme.
Availability: 100002168.pdf; hardcopy

On the structure of rings which are sums of two subrings
DOI: 10.1007/s00013-004-1206-9
Arch. Math. 83 (2004), N5, 429-436
Availability: hardcopy

de Kerf, E.A. and Bauerle, G.G.A. and ten Kroode, A.P.E.

Lie Algebras. Part 2. Finite and Infinite Dimensional Lie Algebras and Applications in Physics
North Holland, 1997
Availability: 1997-lie-algebras-2.djvu

Kerimbaev, R. K. and Uteulieva, K. N.

Third-order trivial homology of the subalgebra $\overline L_1$ of the contact Lie algebra.
Izv. Minist. Obraz. Nauki Resp. Kaz. Nats. Akad. Nauk Resp. Kaz. Ser. Fiz.-Mat. 2001, no. 1, 50--55

Kerov, S.V.

Asymptotic representation theory of the symmetric group and its applications in analysis
AMS, 2003, 201 pp.
Abstract: Notices AMS, June/July 2003, p.730
Description: probabilistic and asymptotic behaviour of Young diagrams.
Availability: 68$

Kerov, Sergei and Okounkov, Andrei and Olshanski, Grigori

The boundary of the Young graph with Jack edge multiplicities
Int. Math. Res. Not. 1998, No.4, 173-199 (1998).
Zentralblatt: 0960.05107
Abstract: Consider the lattice of all Young diagrams ordered by inclusion, and denote by $Y$ its Hasse graph. Using the Pieri formula for Jack symmetric polynomials, we endow the edges of the graph $Y$ with formal multiplicities depending on a real parameter $\theta$. The multiplicities determine a potential theory on the graph $Y$. Our main result identifies the corresponding Martin boundary with an infinite-dimensional simplex, the `geometric boundary' of the Young graph $Y$, and provides a canonical integral representation for nonnegative harmonic functions. For three particular values of the parameter, the theorem specializes to known results: the Thoma theorem describing characters of the infinite symmetric group, the Kingman classification of partition structures, and the description of spherical functions of the infinite hyperoctahedral Gelfand pair.

Khakimdjanov, Yu. (=Hakimjanov, You.B., =Khakimdzhanov, Yu.)

On the derivations of some nilpotent Lie algebras
Izv. VUZ 20 (1976), N1, 100-110
Zentralblatt: 0345.17005
Description: Derivation algebras (explicit basis, Levi decomposition and g-module structure) of the nilradical of an arbitrary (not necessary maximal) parabolic subalgebra of the simple classical Lie algebra g.
Availability: hardcopy

Ueber Kohomologien parabolischer Unteralgebren halbeinfacher Lie-algebren
Usp. Mat. Nauk 32 (1977), No.6, 237-238
Zentralblatt: 0386.17007
Description: In particular, H^n(P,P) = 0.

Cohomologies et de'formations de certaines alge`bres de Lie nilpotentes
Comm. Algebra 16 (1988), No.10, 2149-2192
Zentralblatt: 0661.17011

Characteristically nilpotent Lie algebras
DOI: 10.1007/BF01980238
Algebra and Logic Volume 28, Number 6 / November, 1989 Pages 475-485
Availability: 1989-characteristically.pdf

On the cohomology of some nilpotent Lie algebras
DOI: 10.1070/SM1990v067n01ABEH001186
Math. USSR Sb. 67 (1990), No.1, 99-116
Zentralblatt: 0682.17008
Description: H^1,2(N,N) where N is a nilradical of an arbitray (not necessary maximal) parabolic subalgebra of a classical simple Lie algebra.
Availability: sm1186.pdf

Sur les varietes d'algebres de Lie
Comm. Algebra 18 (1990), No.4, 1147-1187
Zentralblatt: 0712.17012
Description: H^2(N,N) where N - maximal nilpotent subalgebra in the classic simple one.

Varieties of Lie algebra laws
Handbook of Algebra (ed M. Hazewinkel), Vol. 2, North-Holland, 2000, 509-541
Zentralblatt: 0974.17004
Description: "... to put together all the results which were obtained recently in the study of Lie algebras from a geometrical point of view", with emphasis on filiform Lie algebras.
Availability: vol2.djvu (whole book)

KHAKIMDJANQVA, Kamola

Lie algebras with a given Iattice of ideals.
URL: http://dmle.cindoc.csic.es/pdf/REVISTAMATEMATICACOMPLUTENSE_1998_11_02_04.pdf
REVISTA MATEM�TICA COMPLUTENSE Volumen 1, n�mero 2 1998
Description: Lie algebras with lattice of ideals of length <= 2.

Khakimdjanova, Kamola and Khakimdjanov, Yusupdjan

Sur une classs d'algebres de Lie de dimension infinie
Comm. Alg. 29(2001), N1, 177-191
Description: related to Witt; H^2 and deformations.
Availability: 100000793.pdf

Khalkhali, Masoud

Homology of L_\infty Lie algebras and cyclic homology
K-Theory Preprint Archive, March 1998
Description: "a celebrated theorem of Loday-Quillen-Tsygan states that the Lie algebra homology... the main point of this papaer is to lay the ground such that an extension of this theorem to the category of A_\infty algebras becomes possible".

Operations on cyclic homology, the X complex, and a conjecture of Deligne
Comm. Math. Phys. 202(1999), 309-323
Description: Different higher homotopy structures on H^*(A,A) and HC^*(A), partially in terms of operads
Availability: 92020309.pdf

Khalkhali, M. and Rangipourm, B.

Invariant Cyclic Homology
math.KT/0207118, 28pp.
Description: We define a noncommutative analogue of invariant de Rham cohomology. More precisely, for a triple $(A,\mathcal{H},M)$ consisting of a Hopf algebra $\mathcal{H}$, an $\mathcal{H}$-comodule algebra $A$, an $\mathcal{H}$-module $M$, and a compatible grouplike element $\sigma$ in $\mathcal{H}$, we define the cyclic module of invariant chains on $A$ with coefficients in $M$ and call its cyclic homology the invariant cyclic homology of $A$ with coefficients in $M$. We also develop a dual theory for coalgebras. Examples include cyclic cohomology of Hopf algebras defined by Connes-Moscovici and its dual theory. We establish various results and computations including one for the quantum group $SL(q,2)$.

Khamsi, M.A. and Kirk, W.A.

An Introduction to Metric Spaces and Fixed Point Theory
Wiley-Interscience, 2001; hardcover, 302 pp.
Availability: hardcopy (book)

Kharchenko, V.K.

Automorphisms and derivations of associative rings
Kluwer, 1991
MR 93i:16048

Nekommutativnaya teoriya Galois
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/2/810.djvu
Nauchnaya Kniga, Novosibirsk, 1996 (in Russian)
Availability: Kolkhoz

Simple, prime and semiprime rings
Handbook of Algebra, Vol. 2, 761-, North-Holland, 2000
Availability: vol2.djvu; hardcopy

A combinatorial approach to the quantification of Lie algebras
Pacific J. Math. 203 (2002), no.1, 191-233
Description: Of universal envelopes.
Availability: 203-1-9.pdf

Kharlampovich, O.G.

Lyndon's condition for solvable Lie algebras
Sov. Math. (Izv. VUZ) 28 (1984), No.9, 67-80
Izv. Vyssh. Uchebn. Zaved. Mat. 1984, No.9, 50-59
MR 86c:17016
Zentralblatt: 0558.17014
Description: A Lie algebra generated by m generators satisfying k relations (m>k), contains an (m-k)-generated free subalgebra.

Kharlampovich, O. et al.)

Limit Groups and Infinite Words
ASPECTS OF INFINITE GROUPS. A Festschrift in Honor of Anthony Gaglione (eds. Benjamin Fine, Gerhard Rosenberger and Dennis Spellman), World Sci., 2008

Kharlampovich, Olga and Miasnikov, Alexei G. (=Myasnikov)

Irreducible Affine Varieties over a Free Group. II. Systems in Triangular Quasi-quadratic Form and Description of Residually Free Groups
DOI: 10.1006/jabr.1997.7184
Journal of Algebra Volume 200, Issue 2, 15 February 1998, Pages 517-570
Description: \exists-free and equationally noetherian groups.

Implicit function theorem over free groups
DOI: 10.1016/j.jalgebra.2005.04.001
J. Algebra 290 (2005), N1, 1-203
arXiv:math.GR/0312509
Description: Connections with logic.

Elementary theory of free nonabelian groups
J. Algebra 302 (2006), N2, 451-552
Description: Elementray theories of nonabelian free groups are the same.

Kharlampovich, O.G. and Sapir, M.V.

Algorithmic problems in varieties
Int. J. Algebra Comput. 5 (1995), N4-5, 379-602
MR 96m:20045
Description: A big and interesting survey: groups, semigroups, associative and Lie algebras.
Availability: survey.ps; Sapir's homepage

Khazal, R. and Boboc, C. and Dascalescu, S.

Group gradings on M_2(k)
Bull. Aust. Math. Soc. 68, 285�293 (2003)

Khelif, Anatole

Finite approximation and commutators in free groups
J. Algebra 281(2004), N2, 407-412
Description: The set of commutators in a non-cyclic free group is a closed subset with respect to the profinite topology.

A propos de la proprie'te' de Bergman
Comptes Rendus 342 (2006), N6, 377-380
Description: Property for groups, close to finite girth, is studied.
Availability: sdarticle-1.pdf; hardcopy

Khesin, Boris

A hierarchy of centrally extended algebras and the logarithm of the derivative operator.
Int. Math. Res. Not. 1992, No.1, 1-5
Zentralblatt: 0761.17022
Description: centr. exts of alg of pseudodiff. opers on reductive Lie alg.

Khesin, B. and Lyubashenko, V. and Roger, C.

Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle
DOI: 10.1006/jfan.1996.2896
J. Funct. Anal. 143 (1997), 55-97
arXiv:hep-th/9403189
MR 98f:58104
Abstract: We construct cocycles on the Lie algebra of pseudo- and q-pseudodifferential symbols of one variable and on their close relatives: the sine-algebra and the Poisson algebra on two-torus. A ``quantum'' Godbillon-Vey cocycle on (pseudo)-differential operators appears in this construction as a natural generalization of the Gelfand-Fuchs 3-cocycle on periodic vector fields. We describe a nontrivial embedding of the Virasoro algebra into (a completion of) q-pseudodifferential symbols, and propose q-analogs of the KP and KdV-hierarchies admitting an infinite number of conserved charges.
Description: Reasonings about relationship between H^*(L,L) and H^*(L,K).

Khesin, Boris and Wendt, Robert

The Geometry of Infinite-Dimensional Groups
DOI: 10.1007/978-3-540-77263-7
Ergebnisse der Mathematik und ihrer Grenzgebiete 51 (2009), Springer
Description: Central extensions, Schwarzian derivative.

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Khinchin, A.Y.

Three Pearls of Number Theory
Graylock Press, 1952
Availability: three-pearls.djvu

Khmaladze, Emzar

Non-abelian tensor and exterior products modulo $q$ and universal $q$-central relative extension of Lie algebras
Homology Homotopy Appl. 1 (1999), 187--204
MR 2001i:18024

Homology of Lie algebras with Lamda/qLambda coefficients and exact sequences
Theory Appl. Categ. 10(2002), N4, 113-126
(me)
Zentralblatt: 0995.18005
Availability: hardcopy

Khmeleva and Yakovlev

Existence of a periodic resolution for an augmented algebra
Zapiski Nauchn. Sem. LOMI 74(1978), 166-178
J. Soviet Math. 1031-
Availability: mj025651t2314847.pdf

Khmelnitsky, I.L.

A ring in which every proper subring is nilpotent
Ural. Gos. Univ. Mat. Zap. 8(1971), 121-128

Rings in which all subrings are meta-ideals of finite index
Izv. VUZ 4(1979), 53-67
MR 80m:16013

Khoroshkin, A.S.

Syzygies of some quadratic varieties and their connection with the cohomology of Lie algebras
Russ. Math. Surv. 61 (2006), N5, 990-992
Availability: rm_61_990.pdf

Lie algebra of formal vector fields extended by formal g-valued functions
URL: http://www.ingentaconnect.com/content/klu/joth/2007/00000143/00000001/00000167 http://www.pdmi.ras.ru/znsl/2006/v335.html
DOI: 10.1007/s10958-007-0167-5
Zap. Nauchn. Sem. POMI 335 (2006), Vopr. Kvant. Teor. Polya i Stat. Fiz. 19, 205--230
J. Math. Sci. 143 (2007), N1, 2816-2830
Description: Relative cohomology of Lie algebra L\otimes k[[x_1,...,x_n]] + W_n relative to a subalgebra L \otimes 1 + gl(n) coincides with cohomology of a Weil algebra W(L + gl(n)).

Algebra Lie formalnykh vektornykh polei, sokhranyayushchikh strukturu sloeniya
Manuscript, 2006
Description: Relative cohomology of W_n relartive to gl_n woth coefficients in symmetric powers of W_n^* and related cohomology.

Khoroshkin, S.M. and Pop, I.I. and Samsonov, M.E. and Stolin, A.A. and Tolstoy, V.N.

On some Lie bialgebra structures on polynomial algebras and their quantization
DOI: 10.1007/s00220-008-0554-x
arXiv:0706.1651
Communications in Mathematical Physics Volume 282, Number 3 / September, 2008 Pages 625-662
Description: Lie bialgebra structures on algebra g\otimes k[t].

Khovanova, T.

The Gelfand-Dikii Lie algebras and the Virasoro algebra
Funct. Anal. Prilozh. 20(1986), N4, 89-90
Availability: hardcopy

Khrennikov, A.

Superanalysis
Kluwer, 1999 (updated and revised translation from Russian, Nauka, 1997); hardcover, 347 pp.
Availability: hardcopy (book); google books

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Khrennikov, A.Yu. and Kozyrev, S.V.

Genetic code on the dyadic plane
arXiv:q-bio/0701007

Khudaverdian, H. M. and Voronov, Th. Th.

Berezinians, exterior powers and recurrent sequences
arXiv:math.DG/0309188
Description: Various properties of and reasonings around Berezinian (which is an analog of determinant in super linear algebra).

Khudyakov, V. A.

Quasivarieties of Metric Algebras
Algebra and Logic 42 (6) p.419-427 November-December 2003
Abstract: We introduce concepts of a continuous family of quasi-identities and of a continuous quasivariety. For continuous quasivarieties, a characterization theorem and an analog of the Birkhoff theorem on subdirect decomposition are proved. Also we point out the way of constructing examples of continuous quasivarieties and furnish the characterization of a relative congruence lattice of systems in the quasivarieties in question. Lastly, we re-prove the Hahn-Banach theorem on extension of a linear functional.

Khukhro, E.I.

p-Automorphisms of Finite p-Groups
Cambridge Univ. Press, 1998
Description: Including Lie rings with restrictions on fixed points of automorphism.
google books

Almost regular automorphisms
DOI: 10.1007/BF02366346
J. Math. Sci. 93 (1999), N6, 883-920
Description: A survey.

On solvability of Lie rings with an automorphism of finite order
Siberian Math. J. 42 (2001), 996-1000
Description: If algebra Lie L admist a semisimple automorphism f of finite order n, than for any m L^{f(m,n)} contained in [L, C_L(f), ..., C_L(f)] (m times). This generalizes results of Kreknin and others.

Lie rings with almost regular automorphisms
Doklady Math. 67 (2003), No. 1, 34-
Dokl. Akad. Nauk 388 (2003), no. 3, 298--300

Graded Lie rings with many commuting components and an application to 2-Frobenius groups
DOI: 10.1112/blms/bdn075
Bulletin of the London Mathematical Society 2008 40(5):907-912
Description: Graded Lie ring with L_0 = 0 and each component is commuting for all but m component for some fixed m, is solvable; under some additional hypohesis, it is nilpotent.

Khukhro, E. I. and Makarenko, N. Yu.

Lie rings with almost regular automorphisms
DOI: 10.1016/S0021-8693(03)00148-0
J. Algebra 264 (2003), N2, 641-664
Description: Lie rings admitting automorphisms with finite fixed point subring.
Availability: 2003-jalg.pdf

Khukhro, E. I. and Shumyatsky, P. V.

On fixed points of automorphisms of Lie rings and of locally finite groups
Algebra and Logic 34 (1995), no. 6, 395--405
MR 97c:20059
Availability: r713050862151304.pdf

Lie algebras with almost constant-free derivations
DOI: 10.1016/j.jalgebra.2006.05.028
J. Algebra 306 (2006), N2, 544-551

Kiani, D. and Mahdavi-Hezavehi, M.

Tits alternative for maximal subgroups of skew linear groups
Linear Algebraic Groups and Related Structures Preprint Server, 2004, Mar 22

Identities on maximal subgroups of GL_n(D)
URL: http://www.worldscinet.com/cgi-bin/details.cgi?id=pii:S1005386705000428&type=html http://www.mathematik.uni-bielefeld.de/lag/man/133.pdf
Algebra Colloquium 2005 Vol: 12 Issue: 3 (September 2005) Page: 461 - 470
Availability: hardcopy (preprint)

Kiesepp�, I. A.

Akaike Information Criterion, Curve-fitting, and the Philosophical Problem of Simplicity
DOI: 10.1093/bjps/48.1.21
The British Journal for the Philosophy of Science 1997 48(1):21-48
Availability: 21.pdf

Kikuchi, Teppei

Some remark on high order derivations
J. Math. Kyoto Univ. 11(1971), 71-87
Description: Kahler differentials

Kim, Yunhyong

The Lie algebra cohomology of jets
arXiv:math.AT/0208007
J. Lie Theory 14 (2004), No. 1, 271-286
Zentralblatt: (me)
Description: Cohomology of g\otimes zC[[z]].
Availability: hardcopy

Kim, Hyuk and Kim, Kyunghee

The structure of assosymmetric algebras
DOI: 10.1016/j.jalgebra.2007.02.040
J. Algebra 319 (2008), N6, 2243-2258

King, Jeremy D.

Finite presentations of Lie algebras and restricted Lie algebras
Bull. London Math. Soc. 28 (1996), no.3, 249-254
MR 96m:17008
MR Review: It is proved that if a Lie algebra $L$ over a field $k$ has a presentation with $n$ generators and $r$ relations and $d=\dim_kL/[L,L]\geq2$ then $r\geq n-d+d^2/4$, or $L$ has an image which is a finitely generated infinite-dimensional residually nilpotent weakly ad-nilpotent Lie algebra. Also a similar theorem for a restricted Lie algebra over a field $k$ of characteristic $p$ (with $d=\dim_kL/([L,L]+L^p)\geq2$) is proved.

Kinyon, Michael K.

The coquecigrue of a Leibniz algebra
Talk at AlanFest, ESI, August 2003
Availability: hardcopy

Leibniz algebras, Lie racks, and digroups
arXiv:math.RA/0403509
J. Lie Theory 17 (2007), no. 1, 99--114
Description: What is an analogue of Lie group for Leibniz algebras?
Availability: hardcopy (version 2)

Kinyon, Michael K. and Sagle, Arthur A.

Nahm algebras
DOI: 10.1006/jabr.2001.9008
arXiv:math.RA/9907084
J. Algebra 247 (2002), no. 2, 269--294
MR 2002k:17002
Zentralblatt: 1017.17001
Description: Given a Lie algebra L, a Nahm algebra is an algebra with an underlying vector space L x L x L with a funky symmetric-like multiplication defined in terms of L. It is commutative, but besides that, does not seem to satisfy any nice identity and does not seem to belong to any known class of nonassocitaive algebras. Radical, derivations, automorphisms, etc. of such algebras.

Kinyon, Michael K. and Weinstein, Alan

Leibniz Algebras, Courant Algebroids, and Multiplications on Reductive Homogeneous Spaces
Amer. J. Math. 123 (2001), N3, 525-550
arXiv:math.DG/0006022
Abstract: We show that the skew-symmetrized product on every Leibniz algebra E can be realized on a reductive complement to a subalgebra in a Lie algebra. As a consequence, we construct a nonassociative multiplication on E which, when E is a Lie algebra, is derived from the integrated adjoint representation. We apply this construction to realize the bracket operations on the sections of Courant algebroids and on the ``omni-Lie algebras'' recently introduced by the second author.

Kirby, Rob

URL: http://www.ams.org/notices/200011/rev-kirby.pdf
Book Review of "Stephen Smale: The Mathematician Who Broke the Dimension Barrier".
Notices AMS, December 2000
Description: Interesting info on Stephen Smale.

Kirchberg, K.-D.

Some integrability conditions for almost Kahler manifolds
arXiv:math.DG/0304092

Kirillov, A.A. and Gvishiani, A.D.

Teoremy i zadachi funkcionalnogo analiza
URL: http://www.krelib.com/matematika/2039 http://techlibrary.ru/books.htm http://www.eknigu.com/info/M_Mathematics/MC_Calculus/MCf_Functional%20analysis/
Nauka, 1979 (in Russian); hardcover, 381 pp.
Availability: hardcopy (book)

Kirillov, S.A. and Kuznetsov, M.I. and Chebochko, N.G.

Deformations of a Lie algebra of type G2 of characteristic three
Izv. VUZ 2000, N3, 33-38
Russian Math. (Izv. VUZ) 44 (2000), no. 3, 31-36
MR 1775026
Zentralblatt: 1009.17016

Kirillov, A. N. and Reshetikhin, N. Yu.

Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
DOI: 10.1007/BF02342935
Journal of Mathematical Sciences Volume 52, Number 3 / November, 1990 Pages 3156-3164
Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 160, pp. 211-221, 1987
Abstract: New combinatorial formulas are obtained for the multiplicities in the decomposition of the tensor product of the representations of simple Lie algebras into irreducible components.

Kirillov, A.A.

Local Lie algebras
DOI: 10.1070/RM1976v031n04ABEH001556
UMN 31 (1976), N4, 57-76; Errata: UMN 32 (1977), N1, 267
Russ. Math. Surv. 21 (1976), N4, 55-75
MR 438390
Zentralblatt: 0352.58014
Description: Some algebras close to Hamiltonian, Schouten bracket, etc.?

Elements of the theory of representations
1978 (Russian edition?)
Springer (1976)
Description: Projective representations.
Availability: Kolkhoz; 1976-elements.djvu

Identities in Lie algebras of vector fields
Vestnik MGU 44 (1989), N2, 11-13
Availability: hardcopy

Three lectures on infinite dimensional Lie algebras
Notes taken by S. Shnider, Bar-Ilan U., circa 1994
Availability: hardcopy

Geometric quantization
Dynamical Systems IV, Encycl. Math. Sci., Vol. 4, Springer, 137-
Description: VINITI survey.
Availability: dynsyst-4.djvu (whole volume)

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Introduction to representation theory and noncommutative harmonic analysis (in Russian)
Teoriya predstavlenii i nekommutativnyi garmonicheskii analiz - I, 1988, VINITI, 5-162
Springer, 1994
Availability: viniti-22-1.pdf; 50$ (whole Springer book, together with p. of Neretin; yellow sale)

Kirillov, Anatol N.

New combinatorial formula for modified Hall-Littlewood polynomials
Preprint
Description: (among other) Young diagrams
Availability: hlp.tex

Kirillov, S A

Sandwich subalgebras in simple finite-dimensional Lie algebras
DOI: 10.1070/RM1992v047n04ABEH000922
1992 Russ. Math. Surv. 47 208-209
Description: Modular.
Availability: RMS_47_4_L08.pdf

Kirillova, R.Yu.

Explicit solutions of superized Toda lattices
Zapiski Nauchn. Sem. LOMI 123(1983), 98-111
J. Soviet Math. 20(1985), 529-539
Description: Toda lattices associated with Lie superalgebras.
Availability: hardcopy; 1983-123.djvu (whole Russian journal issue)

Kirkman, E. and Procesi, C. and Small, L.

A q-analog for the Virasoro algebra
DOI: 10.1080/00927879408825052
Comm. Alg. 22 (1994), 3755-3774
MR 96b:17016

Kisil, Vladimir V

An example of Clifford algebras calculations with GiNaC
cs.MS/0410044
Adv. Appl. Clifford Algebr. 15 (2005), no. 2, 239--269

Kjeseth, Lars

Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs
Homology, Homotopy and Applications 3(2001), 139-163

A Homotopy Lie-Rinehart resolution and classical BRST cohomology
Homology, Homotopy and Applications 3(2001), 165-192
Abstract: We use an interlaced inductive procedure reminiscent of the integration process from traditional deformation theory to construct a homotopy Lie-Rinehart resolution for the Lie-Rinehart pair which arises as an exercise in Poisson reduction in the context of the BFV construction of classical BRST cohomology. We show that the associated homotopy Rinehart algebra and the BRST algebra are isomorphic as graded commutative algebras. In the irreducible case, the two have the same cohomology.
Description: Poisson alg, connection with ordinary Lie cohomology and Koszul resolution; seems like a highly abstract nonsence.

Klasa, Stanislas

Rigidite de certaines algebres de Jordan
CRAS 267(1968), 377-379
Description: deformation theory of noncommutative Jordan algebras

Kleber, Michael and Viswanath, Sankaran

Tensor product stabilization in Kac-Moody algebras
Adv. Math. 201(2006), N1, 1-35
Description: Stabilization of decompostion of tensor products of irreducible modules in some series of Kac-Moddy affine algebras.

Klein, A.A. and Regev, A.

The codimensions of a PI-algebra
Israel J.M. 12 (1972), N4, 421-426
Description: A simplified proof of Regev's A\otimes B-theorem.

Klein, A.A.

Free subsemigroups of domains
DOI: 10.2307/2159738
Proc. Amer. Math. Soc. 116 (1992), No.2, 339-341

Klein, F.

The Icosahedron and the Solution of Equations of the Fifth Degree
Dover, 1956; paperback, 289 pp.
Availability: hardcopy (book); Kolkhoz

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Kleiner, G B

Multivectors of rank 2 over fields and commutative rings
Sb. Math., 2002, 193 (5), 709-725.
Abstract: when can a homogeneous element of a Grassmann algebra be represented as the sum of two decomposable elements? For an exterior algebra over a field necessary and sufficient conditions of such a representation are obtained, over an arbitrary integral domain several necessary conditions, and over Krull rings also several sufficient conditions. In particular, it is established that the only rings such that the verification of 2-decomposability is carried out in the same way as over fields are the fields, that is, there are no "2-Plucker" rings.

Kleiner, Israel

A History of Abstract Algebra
DOI: 10.1007/978-0-8176-4685-1
Birkh�user, 2007
Availability: 2007-history.djvu

Kleinfeld, Erwin

Assosymmetric rings
DOI: 10.2307/2033706
Proc. Amer. Math. Soc. 8 (1957), 983-986
Zentralblatt: 0082.02903
Description: Rings in which (x_p(1), x_p(2), x_p(3)) = (x_1, x_2, x_3) for every permutation p in S(3) ((x,y,z) is associator). Every such ring without square-zero ideals is associative if p is not 2,3.
Availability: 1957-assosymmetric.pdf

A class of rings which are very nearly associative
DOI: 10.2307/2322290
Amer. Math. Monthly 93 (1986), No. 9, 720-722
Availability: 1986-class.pdf

Kleshchev, Alexander

Lectures on Linear and Projective Representations of Symmetric Groups
URL: http://www.cambridge.org/catalogue/catalogue.asp?isbn=0521837030 http://www.justpasha.f2s.com/books/lnBCUP.pdf
Cambridge Univ. Press, 2005
Description: Some kind of Hecke algebras.
Availability: Kolkhoz

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Kleshchev, Alexander S. and Premet, Alexander A.

On second degree cohomology of symmetric and alternating groups
Commun. Algebra 21, No.2, 583-600 (1993); corrigenda: 21, No.9, 3401 (1993)
Zentralblatt: 0798.20046; 0809.20043

The globally irreducible representations of symmetric group
PAMS 128(1999), N3, 657-655
MR 2000e:20025
Description: p>0
Availability: hardcopy

Kleyn, Aleks

Module Over Skew-Field
math.RA/0501237
Description: Development of linear algebra over skew-fields, continuing Gelfand & co theme.

Klimyk, A. U.

Decomposition of the direct product of irreducible representations of semisimple Lie algebras into irreducible representations
Ukrain. Mat. Z., 18(5):19--27, 1966
American Mathematical Society Translations. Series 2, volume 76, pages 63--73. American Mathematical Society, Providence, R.I., 1968
Description: Implemented in GAP.

Klotz, Eugene A.

Isomorphisms of Simple Lie Rings Transactions of the American Mathematical Society, Vol. 130, No. 2 (Feb., 1968), pp. 337-352
DOI: 10.2307/1994975
Description: (Slight) extension of some Jacobson's and Herstein's results on associative rings with involution.
Availability: 1968-isomorphisms.pdf

Kluge, L. and Paal, E.

Operads and cohomology
math.QA/0210259, 6 pages
Description: "Gerstenhaber algebras" and all that.

Klyachko, Anton A.

Elementy Lie v tenzornoi algebre
Sib. Mat. J. 15 (1974), N6, 1296-1304

Equations over groups, quasivarieties, and a residual property of a free group
DOI: 10.1515/jgth.1999.021
J. Group Theory 2 (1999), 319-327
Description: Quasivariety genearted by a group coincides with a set of all groups over which all equations are solvable which are solvable over a given group.
Availability: jgth.1999.pdf

How to generalize known results on equations over groups
DOI: 10.1007/s11006-006-0042-6
Math. Notes 79 (2006), N3-4, 377-386
Availability: hardcopy (first 4 pages only)

Knapp, Anthony W.

Lie groups, Lie algebras, and cohomology
Princeton University Press, 1988, 509 pp.
Zentralblatt: 0648.22010

Knebelman, M. S.

Classification of Lie algebras
DOI: 10.2307/1968663
Ann. Math. 36 (1935), No. 1, 46-56
Description: Attempt of classification according to genus (dimension minus number of generators), classification of Lie algebars of genus 0 and genus 1. Contains errors, see Patterson and Marshall.
Availability: 1935-classification.pdf

Knopfmacher, J.

Universal envelopes for non-associative algebras
Quart. J. Math. Oxford 13 (1962), 264-282
Zentralblatt: 0217.06505

Extensions in varieties of groups and algebras
DOI: 10.1007/BF02392201
Acta Math. 115 (1966), 17-50
Zentralblatt: 0144.01404
Availability: hardcopy

On the isomorphism problem for Lie algebras
PAMS 18 (1967), 898-901
Description: Invariants of presentations of associative, Lie and Jordan algebras based of Fox differential calculus. Approach to Lie algebras via U(L).
Availability: hardcopy

Some homological formulae
J. Alg. 9 (1968), 212-219
Description: Tor through presentations for associative algebras; Lie algebras case for H_2 (Hopf formula) is deduced via universal envelopes.
Availability: hardcopy

On Lie algebra obstructions
Bull. Austral. Math. Soc. 1 (1969), 281-288
Description: Another treatment of the theme of obstructions and H^3. Approach via "resolutions by relations" developed by analogue with a group theory.
Availability: hardcopy

Knopp, K.

Theory of Functions. Parts I and II
Dover, 1996; paperback, 150 pp.
Availability: hardcopy (book); Kolkhoz' obmennik

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Knudsen, Finn F.

The cohomological determinant
Preprint ?
Availability: cohodet.djvu

Knudson, Kevin P.

The homology of SL_2(F[t,t-1])
DOI: 10.1006/jabr.1996.0053
J. Algebra 180 (1996), No.1, 87-101
Description: Via representing it as an appropriate free product and applying Mayer-Vietoris long exact sequence.

Congruence subgroups and twisted cohomology of SL_n(F[t]). II. Finite fields and number fields
Comm. Alg. 29 (2001), N12, 5465-5475

Homology of Linear Groups
Progress in Mathematics 193, Birkh�user, 2001, 192 p.
Zentralblatt: 0997.20045
Availability: Google books; hardcopy (book)

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Relative completions and the cohomology of linear groups over local rings
DOI: 10.1112/S0024610701002836
J. London Math. Soc. 65 (2002), 183-203
arXiv:math.KT/0104023
Description: Relationship between 2nd cohomology of a group and some its completion.

Relative completions of linear groups over coordinate rings of curves
DOI: 10.1080/00927870701512093
Comm. Algebra 35 (2007), N12, 3904-3908

Homology and finiteness properties of SL_2(Z[t,t^{-1}])
arXiv:0808.1239

Kn�ppel, Frieder

Involutions and commutators in orthogonal groups
J. Australian Math. Soc. 65(1998), 1-36

Knus, M.-A.

Sur une classe d'algebres filtrees
Comm. Math. Helv. 42 (1967), 111-
Description: Let L be a Lie superalgebra, f is 2-cocycle with values in K. U_f(L) is generalization of U(L) obtained by factoring by xy - (-1)(sign)yx - [x,y] - f(x,y)1. It is proved that a class of (super) associative filtered algebras such that gr A is a (super) symmetric algebra, coincides with U_f(L). This generalizes/unifies PBW theorem, earlier work in non-super case of Sridharan and the fact that gr (Clifford algebra) = exterior algebra.
Availability: hardcopy

Homology and homomorphisms of rings
J. Alg. 9 (1968), 274-284
Zentralblatt: 0162.05103
Description: Development on the theme of Tor, central-like series, long exact sequences, Hopf-like formulae, for associative algebras. Some (earlier known) similar facts for Lie algebras may be derived via universal envelopes.
Availability: hardcopy

A generalisation of Clifford algebras
Math. Z. 110 (1969), 171-176
Zentralblatt: 0177.05802
Description: "Graded tensor product" in a category graded-by-abelian group algebras - effectively, superalgebras.

Algebras graded by a group
Category Theory Homology Theory Appl., Proc. Conf. Seattle Res. Center Battelle Mem. Inst. 1968; LNM 92 (1969), 117-133
ZBKL 0201.03802
Description: Baruer group in a graded-by-abelian-group setting.

On the enveloping algebra and the descending central series of a Lie algebra
J. Algebra 12 (1969), 335-338
Zentralblatt: 0177.05601
Description: gr(UL) = U(grL), where gradation induced by lower central series.

Quadratic and Hermitian Forms over Rings
Springer, 1991 (?)

Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and Tignol, Jean-Pierre

The Book of Involutions
URL: http://www.ams.org/cgi-bin/bookstore/bookpromo?fn=20&arg1=alggeom&item=COLL-44 http://www.mathematik.uni-bielefeld.de/~rost/BoI.html
AMS Colloq. Publ, Vol. 44., 1998, 593 pp.
MR 2000a:16031
Zentralblatt: 0955.16001
Description: Forms of classical (inc. exceptional) Lie algs.
Availability: hardcopy (book); amazon; Kolkhoz (draft)

Knus, M.-A. and Ojanguren, M.

A Mayer-Vietoris sequence for the Brauer group
Journal of pure and appl. Algebra 5 (1974), 345-360
Availability: science.pdf

Knus, M.-A. and Stammbach, U.

Anwendungen der Homologietheorie der Liealgebren auf Zenralreihen und Prasentierungen
Comm. M. Helv. 42(1967), 297-306
MR 37#278
Zentralblatt: 0164.03702
Availability: hardcopy

Knusel, Leo

On the accuracy of statistical distributions in Microsoft Excel 2003
Computational Statistics & Data Analysis Volume 48, Issue 3 , 1 March 2005, Pages 445-449

On the reliability of Microsoft Excel XP for statistical purposes
Availability: hardcopy (Erratum only)

Knuth, Donald E.

The Art of Computer Programming. Vol. 1. Fundamental Algorithms
2nd ed., Addison-Wesley, 1973; paperback, 634 pp.
Availability: hardcopy (book); knuth-1-rus.djvu (3rd Russian edition)

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Computer science and its relation to mathematics
Amer. Math. Monthly 81 (1974), No.4, 323-343
Availability: 0-150.pdf

Mathematical typography
BAMS 1 (1979), N2, 337-372

The TeXbook
URL: ftp://tug.ctan.org/tex-archive/systems/knuth/tex/ http://www-cs-faculty.stanford.edu/~knuth/abcde.html
Addison-Wesley, 1996

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The Art of Computer Programming. Vol. 2. Seminumerical Algorithms
3rd ed., Addison-Wesley, 1998; hardcover.
Availability: hardcopy (book)

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The Art of Computer Programming. Vol. 3. Sorting and Searching
2nd ed., Addison Wesley, 1998
3rd ed. (Russian translation from Addison-Wesley)
Availability: knuth-3-2nded.djvu; knuth-3-rus.djvu

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The Art of Computer Programming. Vol. 4, Pre-Fascicles 2A and 2B
URL: /math/links/files/knuth-4-2AB.pdf.bz2 http://www-cs-faculty.stanford.edu/~knuth/taocp.html#vol4
Draft, 2002

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Knuth, D.E. and Larrabee, T.L. and Roberts, P.M.

Mathematical Writing
Mathematical Association of America, 1989

Kobayashi, Shoshichi and Nagano, Tadashi

On a fundamental theorem of Weyl-Cartan on G-structures
J. Math. Soc. Japan 17 (1965), N1, 84-
Availability: hardcopy

On filtered Lie algebras and geometric structures. I
J. Math. Mech. 13 (1964), 875-908
Availability: hardcopy

On filtered Lie algebras and geometric structures. II
DOI: 10.1512/iumj.1965.14.14035
J. Math. Mech. (?), 513-521
Availability: hardcopy

On filtered Lie algebras and geometric structures. III
J. Math. Mech. 14 (1965), 679-706
Description: Classics; Spencer cohomology are used for description of filtered deformations. Seems that a bracket on S^*(E) \otimes E is defined which is analogous to Nijenhuis-Richardson bracket, and the resulting algebra is nothing else then the algebra of polynomial vector fields!
Availability: hardcopy

On filtered Lie algebras and geometric structures. IV
J. Math. Mech. 15 (1966), 163-175
Description: Spencer cohomology of vectory Lie algebras.
Availability: hardcopy

On filtered Lie algebras and geometric structures. V
J. Math. Mech. (?), 315-328
Availability: hardcopy

Kobayashu, Shoshichi

Transofrmations Groups in Differential Geometry
Springer, 1972
Description: G-structures, filtered Lie algebras.
Availability: 1972-transformations.djvu

Kobayashi, Yuji

Gr�bner bases of associative algebras and the Hochschild cohomology
Trans. Amer. Math. Soc. 357 (2005), 1095-1124
Zentralblatt: 1069.16010
Description: Free bimodule resolution of an (associative) algebra with a Groebner base is constructed, enabling to compute its Hochschild cohomology.

Kobel, Conrad

On the Classification of Solvable Lie Algebras of Finite Dimension Containing an Abelian Ideal of Codimension One
Master Thesis, Halmstad Univ., 2008

Koblitz, N.

Introduction to Elliptic Curves and Modular Forms
URL: http://ega-math.narod.ru/Books/Koblitz.htm http://techlibrary.ru/books.htm
Novokuzneckii Fiz.-Mat. Inst., 2000 (Russian translation from Springer, 1984); paperback, small format, 315 pp.
Availability: hardcopy (book)

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Kobzarev, I.Yu. and Manin, Yu.I.

Elementary Particles
2nd ed., Phasis, 2000 (in Russian); hardcover, 206 pp.
Availability: hardcopy (book)

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Koc, Cetin Kaya and Chen, G.

Inversion of all principal submatrices of a matrix
IEEE Trans. Aerospace Electr. Syst. 30 (1994), 280--281
Description: Particular case of inversion of a partitioned matrix.
Availability: hardcopy

Kocak, H.

Normal forms and versal deformations of linear hamiltonian systems
J. Diff. Eq. 51 (1984), 359-407
Description: Another development of Arnold's theme of versal deformations over R. Some interesting arguments related to semisimple and nilpotent part of a linear transformation.
Availability: kocak.pdf

Koch, H.

Galois Theory of p-Extensions
Mir, 1973 (Russian translation from VEB Deutscher Verlag der Wissenschaften, Berlin, 1970)
Springer, 2002, 190 pp.
Availability: Kolkhoz (Russian edition); 1973-galois.djvu

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Generators and relations ranks for finite-dimensional nilpotent Lie algebras
DOI: 10.1007/BF01669460
Alg. and Logic 16 (1978), 246-263
Description: An analogue of Golod-Shafarevich theorem for cohomology of nilpotent finite-dimensional Lie algebras: dim H^2 > (dim H^1)^2 / 4.
Availability: 1978-generators.pdf

Algebraicheskaya teoriya chisel
Sovremennye Problemy Matematiki, Vol. 62, VINITI, 1990
Description: Golod-Shafarevich theorem for pro-p-groups and its generalizations.
Availability: viniti-koch.djvu

Kochen, Simon

Ultraproducts in the Theory of Models
DOI: 10.2307/1970235
The Annals of Mathematics, 2nd Ser., Vol. 74, No. 2 (Sep., 1