some bibliography: J

[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]

Jaber, K.

Algèbres de Lie multiplicatives $2$-Engel
Bull. Belg. Math. Soc. Simon Stevin Volume 14, Number 4 (2007), 693-697
Availability: 2007-algebres.pdf

Jablonski, S.W. and Gawrilow, G.P. and Kudrjawzew, W.B.

Boolesche Funktionen und Postsche Klassen
Vieweg & Son, Braunschweig - C.F. Winter'sche Verlagsbuchhandlung, Basel, 1970 (translation from Russian, Nauka, 1966); paperback, 84 pp.
Availability: hardcopy (book); absent on amazon

Jackson, Allyn

Chinese Acrobats, an Old-Time Brewery, and the "Much Needed Gap": the Life of Mathematical Reviews
Notices AMS, March 1997

Bonn's Max Planck Institute: A new building and a new era
Notices AMS, May 1998

Theory into profit: Microsoft invests in mathematicians
Notices AMS, June/July 1998

IHES at forty
Notices AMS, March 1999

Notices Interview with Henri Cartan
Notices AMS, August 1999

RIMS, an institute for Japan and the world
Notices AMS, February 2004

Comme appelé du néant: the life of Alexandre Grothendieck
Notices AMS, 2004, N10

Jacobs, David P.

The Albert nonassociative algebra system: a progress report
URL: http://doi.acm.org/10.1145/190347.190358 http://www.cs.clemson.edu/~dpj/albertstuff/albert.html
Proceedings of the international symposium on Symbolic and algebraic computation, ACM, 1994, 41 - 44
Availability: p41-jacobs.pdf

Jacobson, Nathan

Cayley numbers and normal simple Lie algebras of type G
DOI: 10.1215/S0012-7094-39-00562-4
Duke Math. J. 5 (1939), N4, 775-783
MR 0000598
Zentralblatt: 0022.19801
Availability: hardcopy (book, collected papers)

The Theory of Rings
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/1/736.djvu
AMS, 1948 (corrected reprint of the 1943 edition); paperback, 150 pp.
Availability: amazon; hardcopy (book); Kolkhoz

The equation x' = xd - dx = b
BAMS 50 (1944), 902-905
Collected Math. Papers, Vol. I, Birkhauser, 1989, 346-349
Zentralblatt: 0060.07304
Description: Condition for solvability of equation b=[x,d] for given b,d in an associative algebra
Availability: hardcopy (book)

Schur's theorems on commutative matrices
Bull. Amer. Math. Soc. 50 (1944), 431--436
Description: Maximal possible dimension of a commutative subalgebra of a matrix algebra.
Availability: hardcopy (book)

Derivation algebras and multiplication algebras of semi-simple Jordan algebras
DOI: 10.2307/1969583
Ann. Math. 50 (1949), No.4, 866-874
Description: All simple classical Lie algebras are obtained as derivation algebras of corresponding Jordan algebras.
Availability: 1969583.pdf

Completely reducible Lie algebras of linear transformations
DOI: 10.2307/2032629
PAMS 2 (1951), No.1, 105-113
Description: That is where Jacobson fixes a proof of Morozov's lemma about sl-2-triples and puts it in a broader context, what led later to the name of Jacobson-Morozov lemma.
Availability: 1951-completely.pdf

Lectures in Abstract Algebra. Vol. I, Basic Concepts and Vol. II, Linear Algebra
Van Nostrand, 1951 and 1953; hardcover, 217 and 280 pp.
Availability: amazon; hardcopy (books); Kolkhoz

Lectures in Abstract Algebra. Vol. III, Theory of Fields and Galois Theory
Springer, 1975
Availability: Kolkhoz

A Kronecker factorization theorem for Cayley algebras and the exceptional simple Jordan algebras
Amer. J. Math. 76 (1954), 447-452
MR 15:774c
Availability: 2372584.pdf

A note on automorphisms and derivations of Lie algebras
DOI: 10.2307/2032356
PAMS 6 (1955), 281-283
Description: Every nilpotent Lie algebra has an outer derivation.
Availability: jacobson.pdf

Structure of Rings
URL: http://techlibrary.ru/books.htm http://orel721.rsl.ru/books_09.06/1/737.djvu
AMS Colloq. Publ., Vol. 37, 1956; paperback, 299 pp.
Availability: hardcopy (book); Kolkhoz; VRII 512.4 Jac

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A note on three dimensional simple Lie algebras
J. Math. Mech. 7 (1958), 823-831
Zentralblatt: 0198.05404
Description: Representations, p>0.
Availability: hardcopy

A note on automorphisms of Lie algebras
Pacific J.M. 12 (1962), 303-315
Description: Thorough study of automorphisms for p=0, first of classical Lie algebras via Dynkin diagrams and then via Levi-Malcev theorem.

Lie Algebras
Dover, 1979 (reprint of Interscience Publ., 1962), paperback
Description: p. 52: characteristic p examples showing the failure of Lie's theorem and that every solvable Lie algebra is supersolvable.
Availability: hardcopy (book); Kolkhoz (Russian edition)

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Structure and Representations of Jordan Algebras
URL: http://www.ams.org/online_bks/coll39/ http://ef12517-2.tu-sofia.bg/Desislav Todorov/Frames/Books/Mathematics/Algebra/
AMS Colloq. Publ., Vol. 39, 1968; hardcover, 453 pp.
Availability: hardcopy; amazon; Kolkhoz; VRII 512.53 Jac

Exceptional Lie Algebras
Marcel Dekker, 1971; paperback
Availability: hardcopy (book)

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Abraham Adrian Albert
URL: http://www.ams.org/bull/1974-80-06/S0002-9904-1974-13618-9/home.html http://projecteuclid.org/euclid.bams/1183536003
BAMS 80 (1974), 1075-1100
MR 0342341
Zentralblatt: 0292.01025
Description: Lot of interesting facts about simple associative algebras.
Availability: hardcopy

PI-Algebras. An Introduction
LNM 441 (1975)
Availability: hardcopy (photocopy); amazon; Kolkhoz

Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
Adv. Math. 20 (1976), N2, 106-150

Some applications of Jordan norms to involutorial simple associative algebras
Adv. Math. 48 (1983) 149-165
Description: Criterion for two tensor products of two quaternion algebras to be isomorphic in terms of some quadratic form.

Magnus' method in the theory of free groups
Ulam Quartelry 1, N1
Description: Expository paper. Interplay between groups and Lie algebras.

Collected Mathematical Papers. Vol. I (1934-1946)
Birkhäuser, 1989; hardcover, 454 pp.
Availability: amazon; hardcopy (book)

Finite-Dimensional Division Algebras over Fields
Springer, 1996; hardcover, 278 pp.
Availability: hardcopy (book)

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Jagannathan, Ravi and Ma, Tongschu

Risk reduction in large portfolios: Why imposing the wrong constraints helps
J. Finance LVIII(2003), N4, 1651-
Availability: hardcopy

Jahnke, E. and Emde, F.

Funktionentafeln mit Formeln und Kurven
Teubner, Leipzig und Berlin, 1909; hardcover, 176 pp.
Availability: hardcopy (book); absent on amazon

Jahnke, E. and Emde, F. and Lösch, F.

Specialnye funkcii
Nauka, 1968 (in Russian); hardcover, big format, 344 pp.
Availability: absent on amazon; hardcopy (books)

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Jakobsen, Hans Plesner

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras
Mem. AMS (111)1994, 116 pp.

James, G.D. and Kerber, A.

The representation theory of the symmetric group
Addison-Wesley, 1981
MR 83k:20003

James, G. and Liebeck, M.

Representations and Characters of Groups
Cambridge Univ. Press, 1993
Availability: Euler's library; Kolkhoz

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James, D. and Waterhouse, W. and Weisfeiler, Boris

Commun. Algebra 9, 95-114 (1981)
Zentralblatt: 0452.20045

James, A. T.

Normal Multivariate Analysis and the Orthogonal Group
URL: http://projecteuclid.org/euclid.aoms/1177728846 http://links.jstor.org/sici?sici=0003-4851%28195403%2925%3A1%3C40%3ANMAATO%3E2%2E0%2ECO%3B2-P
Ann. Math. Statist. Volume 25, Number 1 (1954), 40-75
Description: "Much of the distribution theory of normal multivariate analysis could be deduced from, or is closely related to the fact that the distribution of the normal multivariate sample is invariant under orthogonal tranformations". The language is of Grassman and Stiefel manifolds, differential forms, etc.

James, Donald G.

Integral sums of squares in algebraic number fields
Amer. J. Math. 113(1991), No.1, 129-146
Availability: 6.pdf

James, G.D.

The Representation Theory of the Symmetric Groups
LNM 682 (1978)
MR 80g:20019
Availability: Kolkhoz

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Janelidze, G. and Kelly, G.M.

Central extensions in Malt'sev varieties
Theory and Appl. Categ. 7(2000), 219-226
Description: generic categorical notion of central extensions is treated

Central extensions in universal algebra: a unification of three notions
Algebra Universalis, 44 Issue 1-2 (2000), pp 123-128
Abstract: We compare the categorical notion of central extension introduced in an earlier paper of ours, which generalized that used previously in non-abelian homological algebra by Fröhlich and Lue, with the notion of centrality arising from commutator theory in universal algebra, showing that they agree in the most important cases.

Janelidze, George and Márki, László and Tholen, Walter

Semi-abelian categories
Journal of Pure and Applied Algebra, 168(2002), 367-386
Description: The notion of semi-abelian category as proposed in this paper is designed to capture typical algebraic properties valid for groups, rings and algebras, say, just as abelian categories allow for a generalized treatment of abelian-group and module theory. In modern terms, semi-abelian categories are exact in the sense of Barr and protomodular in the sense of Bourn and have finite coproducts and a zero object. We show how these conditions relate to "old" exactness axioms involving normal monomorphisms and epimorphisms, as used in the fifties and sixties, and we give extensive references to the literature in order to indicate why semi-abelian categories provide an appropriate notion to establish the isomorphism and decomposition theorems of group theory, to pursue general radical theory of rings, and how to arrive at basic statements as needed in homological algebra of groups and similar non-abelian structures.

Janko, Zvonimir

Nonsolvable finite groups all of whose 2-local subgroups are solvable. I
J. Alg. 21(1972), 458-517
Availability: janko.pdf

Jannsen, U.

The splitting of the Hochschild-Serre spectral sequence for a product of groups
Can. M. Bull. 33(1990), 181-183

Jano, K. and Bochner, S.

Curvature and Betti Numbers
Izdat. Inostr. Lit., Moscow, 1957 (Russian translation from Princeton Univ. Press, 1953)
Availability: Kolkhoz; absent on amazon

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Jantzen, Jens Carsten

Svayz mezhdu teoriei predstavlenii i kombinatorikoi
Lebendige Zahlen (W. Borho et al.), Birkhauser, 1981
Description: "Missed opportunities" - "Combinatiorial identities vs. Lie algebras" theme.

Kohomologie von p-Lie-Algebren und nilpotente Elemente
Abh. Math. Sem. Univ. Hamburg 56 (1986), 191-219
MR 88e:17019
Description: Let $L$ be a finite-dimensional restricted Lie algebra over an algebraically closed field $k$ of nonzero characteristic $p$. There is a natural $k$-linear map from the dual $k$-vector space $L\sp *$ into the second cohomology group $H\sp 2(L,k)\sp !$ with the $k$-vector space structure defined by $a!h=a\sp ph$ $(a\in k)$. It induces a morphism of commutative $k$-algebras from the symmetric algebra $S(L\sp *)$ into $\bigoplus\sb {i\ge 0} H\sp {2i}(L,k)\sp !$. Let $I\sb L(k)$ be its kernel. The author proves that the set of $x\in L$ whose $p$th power is zero is exactly the set of elements of $L$ which annihilate all the elements of $I\sb L(k)$.
Availability: hardcopy

Restricted Lie algebra cohomology
DOI: 10.1007/BFb0079234
LNM 1271 (1987), 91-108

First cohomology groups for classical Lie algebras
Repr. Theory of Finite Groups and Finite-Dim. Algebras, Progress in Math. 95, Birkhauser, 1991, 289-315
Description: Restricted cohomology of restricted modules.
Availability: hardcopy

Representations of Lie algebras in prime characteristic
Proc. NATO Adv. Stud. Ints. Repr. Theory Alg. Geom., Montreal, 1997
Description: A survey.
Availability: mntrpl.ps; hardcopy

Representations of Algebraic Groups
2nd ed., AMS, 2003; hardcover, 576 pp.
Availability: hardcopy (book)

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Representations of Lie algebras in positive characteristic
Representation Theory of Alg. Groups and Quantum Groups (ed. T. Shoji et al.), AMS, 2004
Zentralblatt: 1104.17010
Description: A survey.
Availability: tokio.ps; hardcopy

Jarden, Moshe and Lubotzky, Alexander

Elementary equivalence of profinite groups
DOI: 10.1112/blms/bdn069
Bulletin of the London Mathematical Society 2008 40(5):887-896
Description: If two profinite groups are elementary equivalent, then they are isomorphic.

Jardine, J.F.

Ultraproducts and the discrete cohomology of algebraic groups
Algebraic K-Theory, Fields Institute Communications, AMS, Vol. 16, 1997, 111-130
Abstract: This paper gives a reformulation of the generalized isomorphism conjecture of Friedlander and Milnor on the discrete cohomology of special linear groups, in terms of ultraproducts of classifying spaces of special linear groups over algebraic closures of finite fields. The classical ultraproduct construction is reinterpreted in terms of various stalks of direct image sheaves on a topos associated to the category of subsets of a fixed index set equipped with topology of finite coverings, so that the problem underlying the Friedlander-Milnor conjecture is a question of whether or not a particular map of simplicial objects in this topos is a homology isomorphism. The conjecture is a consequence of a statement about ultraproducts of classifying spaces which involve only finite fields.
Availability: google books; 1997-ultraproducts.tar

Jarosz, Krysztof

Perturbations of Banach algebras
LNM 1120 (1985)
Zentralblatt: 0557.46029

Jarrah, Abdul S. and Laubenbacher, Reinhard

Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions
DOI: 10.1007/978-3-540-73433-8_2
Lecture Notes in Computer Science Volume 4545/2007 (Algebraic Biology) Pages 15-22
Description: Interplay between polynomials and boolean functions.
Availability: 2007-discrete.pdf

Jarvis, P. D. and Bashford, J. D. and Sumner, J. G.

Path integral formulation and Feynman rules for phylogenetic branching models
J. Phys. A 38 (2005), no. 44, 9621--9647
q-bio.PE/0411047
Availability: hardcopy

Jarvis, P. D. and Rudolph, Gerd

Polynomial super-gl(n) algebras
J. Phys. A 36 (2003), no. 20, 5531--5555

Jarvis, P D and Warner, R C and Yung, C M and Zhang, R B

BRST Cohomology for Uq(sl(2))
J Phys A 25 (1992) L895-L900; Addendum: (1994) L1787-1790

Jbiloua, K. and Messaoudi, A. and Tabaâ, K.

Some Schur complement identities and applications to matrix extrapolation methods
DOI: 10.1016/j.laa.2004.06.010
Lin. Alg. Appl. 392 (2004), 195-210
Description: Another generic paper about Schur complements with many references - seems to be nothing exceedingly new.

Jean, F. and Koseleff, P.-V.

Elementary approximation of exponential of Lie polynomials
AAECC'12 Proceedings, Lecture Notes Comp. Sci. 1255(1997), 174-188
Abstract: Let L = L(x1,...,xn) be a graded Lie algebra generated by x1,...,xn. In this paper, we show that for any element P in Land any order k, exp(P) may be approximated at the order k by a finite product of elementary factors exp(a_i x_{i}). We give an explicit construction that avoids any calculation in the Lie algebra.
Availability: aaecc12.ps

Jeffers, J. N. R.

Two Case Studies in the Application of Principal Component Analysis
DOI: 10.2307/2985919
Applied Statistics, Vol. 16, No. 3 (1967), pp. 225-236
Description: Methodological.
Availability: 1967-two.pdf

Jenner, W.E.

On non-associative algebras associated with bilinear forms.
Pacific J. Math. 10 (1960), 573-575
MR 0114832
Zentralblatt: 0094.02001
Description: Similar to a Jordan simple algebra associated with a symmetric bilinear form.

On non-associative algebras derived from graphs
Amer. Math. Mon. 80 (1973), 288-289
Zentralblatt: 0268.17003
Description: "A construction is given for associating a (nonassociative) algebra with any finite graph such that the algebra is simple iff the graph is connected".
Availability: 0-150.pdf

Lectures on non-associative algebras
U. North Carolina, 1973, 69 pp.
Zentralblatt: 0402.17001

Jensen, Soren Tolver

Covariance hypotheses which are linear in both the covariance and the inverse covariance
URL: http://projecteuclid.org/euclid.aos/1176350707 http://links.jstor.org/sici?sici=0090-5364%28198803%2916%3A1%3C302%3ACHWALI%3E2%2E0%2ECO%3B2-T
Ann. Statist. 16 (1988), N1, 302-322
Description: Jordan algebras are employed! Estimation of covariance matrix?
Availability: hardcopy

Jensen, Christian U. and Lenzing, Helmut

Model Theoretic Algebra
Gordon and Breach, 1989

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Jeon, Woo

A further generalization of algebras of Cartan type W
J. Algebra 223 (2000), No.2, 535-555

The special algebras of Cartan types in characteristic 0
Comm. Alg. 29(2001), N6, 2319-2332
Description: Ideal structure of some generalizations of (infinite-dimensional) Lie algebras of Cartan type.
Availability: 100002391.pdf

The Hamiltonian algebras of Cartan type in characteristic 0
Comm. Alg. 29 (2001), N10, 4545-4555
Availability: 100106773.pdf

Jeong, Kyeonghoon and Kang, Seok-Jin and Lee, Hyeonmi

Lie-admissible algebras and Kac-Moody algebras
DOI: 10.1006/jabr.1997.7125
J. Algebra 197 (1997), no.2, 492-505
MR 98k:17037
Availability: 1997-lie-admissible.pdf

Jespers, Eric and Puczylowski, Edmund

On ideals of tensor products
DOI: 10.1016/0021-8693(91)90149-3
J. Algebra 140 (1991), N1, 124-130
Zentralblatt: 0739.16014
Availability: 1991-ideals.pdf

Jesus, Antonio and Martin, Calderon and Draper, Cristina and Candido, Fontanals and Gonzalez, Martin

Gradings on the Kac superalgebra
arXiv:0807.1552
Description: Exceptional Jordan superalgebra K_10.

Jeyakumar, A. Vincent

Group Algebras of Dihedral and Dicyclic Groups Over Modular Fields
DOI: 10.1112/jlms/s2-2.2.297
J. London Math. Soc. 1970 s2-2: 297-304
Description: p=2 or 3.
Availability: 297.pdf

Jia, Yuting

Second cohomology of generalized Cartan type H Lie algebras in characteristic 0
J. Algebra 204 (1998), N1, 312-323
Availability: h.pdf; hardcopy

New simple infinite dimensional Lie algebras related to those of generalized Cartan type H
Comm. Algebra 27 (1999), 973-988

Lie-admissible algebras and generalized Witt algebras
DOI: 10.1080/00927870008826956
Comm. Alg. 28 (2000), 2243-2252
Description: Determined all third power-associative Lie-admissible algebras whose commutator algebras are simple generalized Witt algebras.
Availability: a780137253.pdf

Jiang, Cuipo and Meng, Daoji

The derivation algebra and the universal central extension of the q-analog of the Virasoro-like algebra
Comm. Alg. 26(1998), 1335-1346

Integrable representations for generalized Virasoro-toroidal Lie algebras
J. Algebra 270(2003), N1, 307-334
Abstract: Representations with finite-dimensional weight spaces and non-zero central charge.

Jiang, Zhihong and Shen, Guangyu

Cohomology of generalized restricted Lie algebras
J. Algebra 277(2004), N1, 3-26
Description: Generalized restriced cohomology of order <=2, its structural interpretation (extensions) and exact sequence relating it with the ordinary one.

Jiang, Qifen and Su, Yucai

Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic
math.QA/0608406

Jibladze, Mamuka and Pirashvili, Teimuraz

Cohomology of algebraic theories
J. Alg. 137(1991), N2, 253-296
Availability: Pirashvili's home page

Central extensions and nilpotence of Maltsev theories
"Diskrete Strukturen in der Mathematik" Preprint 00-032, 2000
Description: It is probably a preliminary version of the next one.

Linear extensions and nilpotence for Maltsev theories
math.CT/0203084
Description: Notion close to central extension in general categorical-algebraic-theoretical settings.

Quillen cohomology and Baues-Wirsching cohomology of algebraic theories
Max-Planck-Institut fuer Mathematik, preprint series 86 (2005)

Jime'nez-Gestal, Clara and Pe'rez-Izquierdo, Jose' M.

Ternary derivations of generalized Cayley-Dickson algebras
DOI: 10.1081/AGB-120023148
Comm. Algebra 31 (2003), no. 10, 5071--5094
(me)
Zentralblatt: 1036.17001
Availability: hardcopy

Ternary derivations of finite-dimensional real division algebras
DOI: 10.1016/j.laa.2007.11.019
Linear Algebra and its Applications Volume 428, Issues 8-9, 15 April 2008, Pages 2192-2219

Jin, Quanqin

A classification of low dimensional Lie bialgebras
Comm. Algebra Vol. 31, N11, 5481-5499
Description: Of dimension <= 3.

On outer automorphisms of affine Lie algebras
Comm. Algebra 32 (2004), N5, 1847-1853

Jin, Quanqin and Li, Xiaochao

Hom-Lie algebra structures on semi-simple Lie algebras
DOI: 10.1016/j.jalgebra.2007.12.005
J. Algebra 319 (2008), N4, 1398-1408
Description: Hom-Lie algebras structure on a given Lie algebra L are Lie algebra endomorphisms d:L->L such that [[x,y],d(z)] + [[z,x],d(y)] + [[y,z],d(x)] = 0. Simple classical Lie algebars do not admit nontrivial such structures.

Jin, Quanqin and Tong, Jie

Poisson algebra structures on toroidal Lie algebras
Chinese Annals of Mathematics 28A (1) (2007), pp. 1-14 (in Chinese)
Availability: 2007-poisson.pdf

Jin, Quanqin and Zhang, Zhixue

On automorphisms of affine Kac-Moody algebras
Comm. Alg. 29 (2001), N7, 2827-2858
Description: Careful classification of automorphisms of order 3, based on earlier works.
Availability: 100104989.pdf

Jipsen, P. and Rose, H.

Varieties of Lattices
LNM 1533 (1992)

Joag-Dev, Kumar and Perlman, Michael D. and Pitt, Loren D.

Association of Normal Random Variables and Slepian's Inequality
The Annals of Probability, Vol. 11, No. 2 (May, 1983), pp. 451-455
Availability: 00911798_di983800_98p0211x.pdf

Johansson, Leif and Lambe, Larry and Skoldberg, Emil

On Constructing Resolutions Over the Polynomial Algebra
Homology, Homotopy and Applications, Vol. 4(2), 2002, pp. 315-336
Abstract: Let $k$ be a field, and $A$ be a polynomial algebra over $k$. Let $I\subseteq A$ be an ideal. We present a novel method for computing resolutions of $A/I$ over $A$. The method is a synthesis of Gr\"obner basis techniques and homological perturbation theory. The examples in this paper were computed using computer algebra.

Johnson, K.W. and Leedham-Green, C.R.

Loop cohomology
Czechoslovak Math. J. 40(1990), N2, 182--194
MR 91k:18003
Zentralblatt: 0728.20057
Description: "Associated with every algebraic category there is a cohomology theory."

Johnson, C.R.

Positive definite matrices
DOI: 10.2307/2317709
Amer. Math. Monthly 77 (1970), No.3, 259-264
Availability: 1970-positive.pdf

Johnson, D.L.

Presentations of Groups
2nd ed., Cambridge Univ. Press, 1997; paperback, 216 pp.
Availability: hardcopy (book); Kolkhoz

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Johnson, Joseph Francis

Galois-twisted Euler-Poincare characteristics of complex algebraic groups
J. Reine Angew. Math. 568 (2004), 1-22
Availability: 568_1.pdf

Johnson, K. W.

A computer calculation of homology in varieties of groups
DOI: 10.1112/jlms/s2-8.2.247
J. London Math. Soc. 1974 s2-8, 247-252

Johnson, Marianne

J. Combin. Theory Ser. A 114 (2007), N1, 151-158 Standard tableaux and Klyachko's theorem on Lie representations
DOI: 10.1016/j.jcta.2006.02.002
Availability: 2006-jct.pdf

On the multigraded Hilbert and Poincare'-Betti series and the Golod property of monomial rings
Journal of Pure and Applied Algebra Volume 207, Issue 2 , October 2006, Pages 261-298
Abstract: In this paper we study the multigraded Hilbert and Poincare'-Betti series of , where S is the ring of polynomials in n indeterminates divided by the monomial ideal . There is a conjecture about the multigraded Poincare'-Betti series by Charalambous and Reeves which they proved in the case where the Taylor resolution is minimal. We introduce a conjecture about the minimal A-free resolution of the residue class field and show that this conjecture implies the conjecture of Charalambous and Reeves and, in addition, gives a formula for the Hilbert series. Using Algebraic Discrete Morse theory, we prove that the homology of the Koszul complex of A with respect to x1,...,xn is isomorphic to a graded commutative ring of polynomials over certain sets in the Taylor resolution divided by an ideal of relations. This leads to a proof of our conjecture for some classes of algebras A. We also give an approach for the proof of our conjecture via Algebraic Discrete Morse theory in the general case. The conjecture implies that A is Golod if and only if the product (i.e. the first Massey operation) on the Koszul homology is trivial. Under the assumption of the conjecture we finally prove that a very simple purely combinatorial condition on the minimal monomial generating system of implies Golodness for A.

Jonah, D.W.

Cohomology of Coalgebras
Memoirs AMS 1968, N82; paperback, 73 pp.
Availability: hardcopy (book); amazon

Jones, Gareth A.

Varieties and simple groups
J. Austral. Math. Soc. 17 (1974), 163--173
MR 49#9081
Zentralblatt: 0286.20028
Description: Each nontrivial variety contains only a finite number of finite simple groups.

Jonsson, D

Some limit theorems for the eigenvalues of a sample covariance matrix
J. Multivariate Anal. 12 (1982), no. 1, 1-38
Description: "... The proof is mainly combinatorial..."

Jonsson, Bjarni and Tarski, Alfred

On two properties of free algebras
Math. Scand. 9(1961), 95-101
Zentralblatt: 0111.02002
Description: Properties of free algebras, common for conventional varieties (like Lie algebras or groups), proved for universal algebras.

Jordan, C.R. and Jordan, David

The Lie structure of a commutative ring with a derivation
DOI: 10.1112/jlms/s2-18.1.39
J. London Math. Soc. 18 (1978), 39-49
Availability: hardcopy

Jordan, Charles

Calculus of Finite Differences
Chelsea, 1950
Availability: Kolkhoz; amazon

Jordan, David A.

Simple Lie rings of derivations of commutative rings
J. London Math. S. 18 (1978), 443-448
Availability: hardcopy

On the ideals of a Lie algebra of derivations
J. London Math. S. 33 (1986), 33-39
Availability: hardcopy

On the simplicity of Lie algebras of derivations of commutative algebras
J. Algebra 228 (2000), 580-585
Availability: science.pdf; hardcopy

Jöreskog, Karl G.

Structural analysis of covariance and correlation matrices
DOI: 10.1007/BF02293808
Psychometrika Volume 43, Number 4 / December, 1978 Pages 443-477
Description: The general problem of estimation of covariance matrix depending on parameters is considered. Both (generalized) least squares and maximum likelihood are considered. However, not much is given besided the general statement of the problem.
Availability: 1978-structural.pdf

Joseph, Ayoub

The direct extension theorem
arXiv:math.GR/0403230, 8 pages
Abstract: The problem of group extension can be divided into two sub-problems. The first is to find all the possible extensions of $H$ by $K$. The second is to find the different ways a group $G$ can arise as an extension of $H$ by $K$. Here we prove that the direct product $H\times K$ can arise as an extension of $H$ by $K$ in an essentially unique way: that is the direct extension.

Joshi, A.W.

Elements of Group Theory for Physicists
College Press, Univ. of Beijing, 1998 (reprint of the 1982 3rd edition); paperback, small format, 334 pp.
Availability: hardcopy (book)

Joyce, William P.

Recoupling Lie algebra and universal \omega-algebra
DOI: 10.1063/1.1789281
J. Math. Phys. 45(2004), N10, 3859-3877
Abstract: Seems to be a sort of generalization of superalgenras. PBW theorem for them. Examples related to Heisenberg Lie algebra.

The next step beyond graded Lie algebra: recoupling Lie algebra
Czechoslovak J. Phys. 54(2004), no. 11, 1335--1339

Joyner, D.

A primer on computational group homology and cohomology
Aspects of Infinite Groups. A Festschrift in Honor of Anthony Gaglione (eds. B. Fine, G. Rosenberger and D. Spellman), World Sci., 2008

Jozefiak, Tadeusz

Semisimple superalgebras
DOI: 10.1007/BFb0082020
LNM (proceedings of some algebraic conference?), 96-113
Description: Description of finite-dimensional semisimple associative superlagebras over algebraically closed fields, after Wall.
Availability: hardcopy

Judson, Thomas W.

Complete filtered Lie algebras and the Spencer cohomology
J. Algebra 125(1989), 66-109
Availability: science.pdf

Complete filtered Lie algebras over a vector space of dimension two
J. Lie Theory 12(2002), 423-447
Description: Spencer cohomology etc. ("of dimension two" means dim L_{-1} = 2).
Availability: judlat2e.pdf

Julg, Pierre and Kasparov, Gennadi

Operator theory for the group SU(n,1)
Preprint, October 1994
Availability: hardcopy

Julg, Pierre and Valette, Alain

Fredholm modules associated to Bruhat-Tits buildings
Preprint
Availability: hardcopy

Jungck, John R. and Friedman, Robert M.

Mathematical tools for molecular genetics data: An annotated bibliography
DOI: 10.1007/BF02459511
Bull. Math. Biology 46 (1984), N4, 699-744
Zentralblatt: 0151.25704
Availability: 1984-mathematical.pdf

Junge, G.

Wesen und Wert der Mathematik
Verlag G. Braun in Karlsruhe, 1928; paperback, 92 pp.
Availability: absent on amazon; hardcopy (book)

Jurman, G.

(Finite) presentations of bi-Zassenhaus loop algebras
Description: Very computational.
Availability: MRR01-003.pdf

A family of simple Lie algebras in characteristic two
DOI: 10.1016/j.jalgebra.2003.10.005
J. Algebra 271 (2004), no.2, 454-481
Description: Bi-Zassenhaus algebras; also loop algebras.

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