[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]
Ibraev, Sh. Sh.

Nonsplittable extensions of sl_4(k) (in Russian)
Mat. Zh. 6 (2006), no. 3, 42--47
MR 2008d:17030 (Rutwig)
Description: Ordinary and restricted H^2 in irreducible modules.
Ibraev, Sh.Sh. and Turetaeva, G.A.

2-cohomology of a coadjoint module of Lie algebras of type A_n (in Russian)
Matematicheskii Zhurnal (Almaty) 2 (2002), N1, 43-48
MR 2006j:17021
Zentralblatt: 1132.17303
Description: Modular.
Availability: IbrTuretaeva.ps

Deformacii klassicheskikh algebr Lie v charakteristike 2 (in Russian)
Matem. Zhurnal 7 (2007), N1, 49-54
Availability: 2007-deformations.pdf; hardcopy
Ibragimov, N.Kh.

Gruppy preobrazovanii v matematicheskoi fizike
(in Russian)
Availability: Kolkhoz

Azbuka gruppovogo analiza
Novoe v Zhizni, Nauke, Tekhnike. Ser. Matematika/Kibernetika, 1989, N8 (in Russian)
Availability: Kolkhoz

Opyt gruppovogo analiza obyknovennykh differncialnykh uravnenii
Novoe v Zhizni, Nauke, Tekhnike. Ser. Matematika/Kibernetika, 1991, N7 (in Russian)
Kolkhoz

Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)
DOI: 10.1070/RM1992v047n04ABEH000916
Russ. Math. Surv. 47 (1992), N4, 89-156
Description: Lie symmetries, survey with examples.
Availability: 1992-group.djvu
Ibragimov, N.Kh. and Shabat, A.B.

Evolutionary equations with nontrivial Lie-Backlund group
Funct. Anal. Prilozh. 14(1980), N1, 25-36
Availability: hardcopy

Infinite Lie-Backlund algebras
Funct. Anal. Prilozh. 14(1980), N4, 79-80
Availability: hardcopy
Iglesias, David and Lopez, Belen and Marrero, Juan C. and Padron, Edith

Triangular generalized Lie bialgebroids: homology and cohomology theories
Banach Center Publ. 54 (2001), 111-
Description: Some homology theory related to Lie algebroids, whose particular cases apparently are "Lichnerowicz-Poisson homology" and "algebraic canonical homology of Lie bialgebra associated with R-matrix".
Availability: iglesias.dvi
Ihara, Y.

On discrete subgroups of the two by two projective linear group over p-adic fields
J. Math. Soc. Japan 18 (1966), 219-235
Description: Every torsion-free subgroup of SL_2(Q_p) is a free group. Decomposition of SL_2(K) as free product with amalgamation.
Availability: hardcopy
Iima, Kei-ichiro and Iwamatsu, Ryo

On the Jordan decomposition of tensored matrices of Jordan canonical forms
arXiv:math/0612437
Math. J. Okayama Univ., to appear
Description: Jordan form of the Kronecker product.
Ikeda, T. and Kawamoto, N.

On derivation algebras of group algebras
Gonza'lez, Santos (ed.), Non-associative algebra and its applications. 3rd international conference, Oviedo, Spain, July 12th-17th, 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 303, 188-192 (1994)
Zentralblatt: 0815.16017
Ikeda, Masatoshi and Nagao, Hiroshi and Nakayama, Tadashi

Algebras with vanishing n-cohomology groups
Nagoya Math. J. 7 (1954), 115-131
MR 0064032
Zentralblatt: 0058.02703
Description: Associative algebras.
Ikeda, M.

On absolutely segregated algebras
Nagoya Math J. 6 (1953), 63-75
MR 0058586
Zentralblatt: 0052.03103
Description: Description of associative algebras such that H^2 vanishes in every module.
Ikeda, Toshiharu

Derivations and central extensions of a generalized Witt algebra
the same proceedings as Farnsteiner's paper, pp. 47-
Description: Indexed by some additive group and it's subgroup.
Availability: hardcopy (first page only; with Farnsteiner's paper)
Ikramov, Kh. D.

Reducing complex matrices to condensed forms by unitary congruence transformations
DOI: 10.1134/S0001434607090258
Math. Notes 82 (2007), N3-4, 492-500
Availability: hardcopy

The condition of the coneigenvalues of conjugate-normal matrices
DOI: 10.1134/S1064562408030186
Doklady Mathematics Volume 77, Number 3 / June, 2008 Pages 388-390
Description: ... complex symmetric matrices and, more generally, the entire class of conjugate-normal matrices may be equipped with scalar characteristics that, unlike eigenvalues, are very stable to matrix perturbations.
Availability: 2008-condition.pdf
Ikramov, Kh. D. and Saveleva, N. V.

Invariant subspaces of matrix algebras and MAPLE procedures detecting their existence
DOI: 10.1007/BF02759196
Programming and Computer Software Volume 26, Number 2 / March, 2000 Pages 100-103
Ilamed, Yehiel

On realizations of infinite-dimensional Lie-admissible algebras, II
Hadronic J. 5 (1982), 494-500
Description: A Lie-admissible algebra is constructed whose minus-algebra is an infinite-dimensional Jacobson-Witt algebra.
Availability: hardcopy
Iltyakov, Alexandre V.

Polynomial Identities of Finite Dimensional Lie Algebras
Research Report 98-6, U. Sydney, 1998, 94 pp.
Description: Specht problem modelled after Ramyslov's approach for associative algebras.
Ilyin, V.A. and Kryukov, A.P.

Symbolic simplification of tensor expressions using symmetries, dummy indices and identities
some ACM proceedings, 1991
Availability: dummy.djvu
Im, Bokhee and Smith, Jonathan D. H.

Comtrans algebras, Thomas sums, and bilinear forms
Archiv der Mathematik Issue: Volume 84, Number 2 February 2005 Pages: 107 - 117
Description: Comtrans algebras are vector spaces with two in a certain way trilinear forms one of which is satisfies alternative identity, and another - Jacobi one.
Availability: UTLKC73Y7RRBHFJU.pdf
Inassaridze, Hvedri

Algebraic K-Theory
Kluwer, 1995

Non-abelian homological algebra and its applications
Kluwer, 1997

More about (co)homology of groups and associative algebras
Homology Homotopy Appl. 7, No. 1, 87-108 (2005)
Zentralblatt: 1080.18008
Description: (Co)homology as nonabelian derived functors of (co)kernels in higher dimensions. alternative approach to higher Hopf formulae; (n+1)-cohomology in terms of n-fold extensions.
Inassaridze, Hvedri and Inassaridze, Nick

Non-abelian homology of groups
K-Theory 18(1999), no.1, 1-17
MR 2000g:18019
Inassaridze, Nick and Khmaladze, Emzar and Ladra, Manuel

Non-abelian tensor product of Lie algebras and its derived functors
URL: http://www.unex.es/extracta/Vol-17-2/17b2inas.pdf   http://www.rmi.acnet.ge/~inas/8.ps
Extracta Mathematicae 17 (2002), N2, 281-288

Non-abelian homology of Lie algebras
DOI: 10.1017/S0017089504001909
Glasgow Math. J. 46 (2004), 417-429
K-Theory perprint archives, no. 614, 2003
(me)
Zentralblatt: 1053.17014
Availability: hardcopy

Non-abelian cohomology and extensions of Lie algebras
J. Lie Theory 18 (2008), 413-432
Availability: hardcopy (whole journal)
Inassaridze, Nick and Ladra, Manuel

Hopf type formulas for cyclic homology
DOI: 10.1016/j.crma.2008.02.025
Comptes Rendus Mathematique Volume 346, Issues 7-8, April 2008, Pages 385-390
Ince, E.L.

Ordinary Differential Equations
Dover, 1956 (republication of Longmans, Green and Co., 1926); paperback, small format, 558 pp.
Availability: hardcopy (book)
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Iohara, Kenji and Koga, Yoshiyuki

Central extensions of Lie superalgebras
Comment. Math. Helv. 76 (2001), N1, 110-154
Description: Central extensions of g \tensor A, where g is basic classical Lie superalgebra. Relation with cyclic cohomology.
Availability: hardcopy

Representation Theory of the Virasoso algebra
Book draft, February 2002
Availability: {back,book}.ps

Representation theory of Neveu-Schwarz and Ramond algebras. I. Verma modules
DOI: 10.1016/S0001-8708(02)00059-2
Adv. Math. 178 (2003), no.1, 1-65

Representation theory of Neveu-Schwarz and Ramond algebras. II. Fock modules
Ann. Inst. Fourier 53 (2003), N6, 1755-1818
Description: Some Ext^1.
Availability: NSRF.ps

Representation theory of N=2 super Virasoro algebra: twisted sector
DOI: 10.1016/j.jfa.2003.07.003
J. Funct. Anal. 214 (2004), N2, 450-518
Availability: twisted.ps

Second homology of Lie superalgberas
Math. Nachr. 278 (2005), no. 9, 1041--1053
Description: H_2(L,K) for twisted current superalgebras.
Availability: 2nd.ps; hardcopy (preprint)

Tilting equivalence for superconformal algebras
Math. Scand. 99 (2006), no. 1, 17--52
Description: Some graded-like 1-cocycles on graded algebras.
Availability: Iohara.pdf
Ion, Ion D. and Nita, Constantin

Some results on rings ultraproducts
Rev. Roum. Math. Pures Appl. 32 (1987), nr.7, 617-622
Availability: hardcopy

Graded ultraproducts
Rev. Roum. Math. Pures Appl. 35 (1990), No.1, 41-48
Zentralblatt: 0717.16035
Availability: hardcopy

Ultraproducts of field extensions
Bull. Math. de la Soc. Sci. Math. de la Roumanie 34 (1990), nr.2, 247-254
Availability: hardcopy

Ultraproduits gradue's. Applications
Publ. Mat. (Barcelona) 36 (1992), No.2A, 663-671
MR 1209831
Zentralblatt: 0792.16037
Abstract: It is proved that the ultraproduct of a family of graded free modules, satisfying a natural finiteness condition, is also a graded free module.
Availability: hardcopy
Ionescu, Lucian M.

A combinatorial approach to coefficients in deformation quantization
math.QA/0404389
Abstract: Graph cocycles for star-products are investigated from the combinatorial point of view, using Connes-Kreimer renormalization techniques. The Hochschild complex, controlling the deformation theory of associative algebras, is the ``Kontsevich representation'' of a DGLA of graphs coming from a pre-Lie algebra structure defined by graph insertions. Properties of the dual of its UEA (an odd parity analog of Connes-Kreimer Hopf algebra), are investigated in order to find solutions of the deformation equation. The solution of the initial value deformation problem, at tree-level, is unique. For linear coefficients the resulting formulas are relevant to the Hausdorff series.
Ionescu, Tudor

On the generators of semisimple Lie algebras
Lin. Alg. Appl. 15(1976), N3, 271-292
Description: For complex and real simple Lie algebras, for any element x, there is element y such that x,y generate the whole algebra.
Availability: science.pdf
Isaacs, I. Martin

Automorphisms of matrix algebras over commutative rings
DOI: 10.1016/0024-3795(80)90221-9
Lin. Alg. Appl. 31 (1980), 215-231
Availability: science-3.pdf

Character Theory of Finite Groups
AMS, 2006
Dover, 1976
Description: Seems to be a classic reference in the subject.
Availability: 1976-character.pdf
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Isaev, I.M.

Identities of a finite Cayley-Dickson algebra
Alg. and Logic 23(1984), 407-418
MR 86g:17023
Isaev, A. P. and Ogievetskii, O. V. and Pyatov, P. N.

$q$-multilinear algebra.
Lie theory and its applications in physics, III (Clausthal, 1999), 268--279,
World Sci. Publishing, River Edge, NJ, 2000.
Iserles, Arieh and Zanna, Antonella

On the dimension of certain graded Lie algebras arising in geometric integration of differential equations
London Math. Soc. J. Comput. Math. 3(2000), 44-75
Abstract: ... we introduce a new concept, a hierarchical algebra, a Lie algebra equipped with a countable number of m-nary multilinear operations which display alternating symmetry and a `hierarchy condition'. We present explicit formulae for the dimension of graded subspaces of free hierarchical algebras and an algorithm for the construction of their basis. The paper is concluded by reviewing a number of applications of our results to numerical methods in a Lie-algebraic setting.
Ishibashi, Y.

An analogue of Nakai's conjecture
Comm. Alg. 13(1985), 575-584
Description: Higher derivations.
Availability: CWI
Itskov, V. and Karasev, M. and Vorobjev, Y.

Infinitesimal Poisson cohomology
Coherent Transform, Quantization, and Poisson Geometry (ed. M. V. Karasev), AMS, 1998
Ivanov, S.V. and Klyachko, A.A.

Solving equations of length at most six over torsion-free groups
J. Group Theory 3, No.3, 329-337 (2000)
Zentralblatt: 0971.20020
Description: All equations of length <=6 over a torsion-free group are solvable.
Ivanov, Sergei V. and Olshanskii (=Ol'shanskij), Aleksander Yu.

Some applications of graded diagrams in combinatorial group theory
Groups St. Andrews, Vol. 2, Lond. Math. Soc. Lect. Note Ser. 160, 1989, 258-308
Zentralblatt: 0732.20018
Description: A survey. "A dazzling array of theorems and counterexamples", including monster. Any countable group could be embedded into product of two monsters with trivial intersection.
Availability: hardcopy (book)
Ivanov, S.V. and Storozhev, A.M.

On varieties of groups in which all periodic groups are abelian
Group theory, statistics, and cryptography (ed. A.G. Myasnikov et al.), Contemp. Math. 360 (2004), 55-62
arXiv:math.GR/0312492
Zentralblatt: 1082.20016
Abstract: To solve a number of problems on varieties of groups, stated by Kleiman, Kuznetsov, Ol'shanskii, Shmel'kin in the 1970's and 1980's, we construct continuously many varieties of groups in which all periodic groups are abelian and whose pairwise intersections are the variety of all abelian groups.

Non-hopfian relatively free groups
DOI: 10.1007/s10711-005-1726-x
Geom. Dedicata 114 (2005), 209-228
arXiv:math.GR/0312491
Zentralblatt: 1093.20013
Abstract: To solve problems of Gilbert Baumslag and Hanna Neumann, posed in the 1960's, we construct a nontrivial variety of groups all of whose noncyclic free groups are non-hopfian.

On identities in groups of fractions of cancellative semigroups
DOI: 10.1090/S0002-9939-05-07903-7
Proc. Amer. Math. Soc. 133 (2005), No.7, 1873-1879
Zentralblatt: 1076.20015
Description: Construction of a group which contains a free subgroup and generated by semigroup satisfying a nontrivial identity.
Ivanov, A. A.

Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups
Colloq. Math. 82 (1999), no. 1, 1--12
MR 2001a:20060
Description: Multiple properties of such groups.
Ivanov, D.N.

Some problems in the theory of orthogonal decompositions of associative algebras
Fundam. Prikl. Mat. 4 (1998), no. 1, 187--197
MR 2001f:16035
Description: A survey.

Orthogonal decompositions and idempotent configurations in semisimple associative algebras
Comm. Alg. 29 (2001), N9, 3839-3887
Description: A survey
Availability: 100105978.pdf

An analogue of Wagner's theorem for decompositions of matrix algebras
DOI: 10.1070/SM2004v195n11ABEH000857
2004 Sb. Math. 195 1557-1574
Description: A short alternative proof ot the Kostrikin-=Pham-Huu-Tiep theorem about orthogonal decompositions of Lie algebars of type A_n.

The dimension of a Hadamard algebra is divisible by 4
Russ. Math. Surv. 60 (2005), 357-358
aVAIL: rm_60_357.pdf
Ivanov, Sergei V.

Group rings of noetherian groups
DOI: 10.1007/BF01158629
Math. Notes 46 (1989), N6, 929-933
Zentralblatt: 0686.16008
Description: Monster-like example, containing abelian subgroups both of finite and infinite order. Methods are (slight) modifications of Olshansky's ones.
Availability: 1989-group.pdf

Relation modules and relation bimodules of groups, semigroups and associative algebras
DOI: 10.1142/S0218196791000055
Int. J. Algebra Comput. 1 (1991), No.1, 89-114; Addendum and errata: 1 (1991), No.3, 393-394
Zentralblatt: 0727.20023
Availability: S0218196791000055.pdf; S0218196791000341.pdf

On subsemigroup lattices of aperiodic groups
Semigroup Forum 48 (1994), No.2, 131-137
Zentralblatt: 0812.20013
Description: Monster-like groups with conditions on subsemigroups instead of groups. One of them satisfies identity.
Availability: 1994-subsemigroup.pdf

On periodic products of groups
DOI: 10.1142/S0218196795000033
Int. J. Algebra Comput. 5 (1995), No.1, 7-17
Zentralblatt: 0836.20052
Availability: S0218196795000033.pdf
Ivanova, Natalya Igorevna and Onishchik, A. L.

Parabolic subalgebras and gradings of reductive Lie superalgebras
Sovrem. Mat. Fundam. Napravl. 20 (2006), 5--68
Ivchenko, G.I. and Medvedev, Yu.I. and Chistyakov, A.V.

Sbornik zadach po matematicheskoi statistike
Vysshaya Shkola, Moscow, 1989 (in Russian)
Availability: 1989-sbornik.djvu
Iwasawa, Kenkichi

On the representation of Lie algebras
Jap. J. Math. 19, (1948) 405--426
MR 11,317d
Description: Ado's theorem for p=0 and p>0. These cases are treated separately. Every abelian extension of Lie algebars could be embedded into split extension.
Iyer, Uma N.

DOI: 10.2991/jnmp.2006.13.1.4
Volichenko algebras as algebras of differential operators
J. Nonlin. Math. Phys. 13 (2006), no. 1, 34--49
Iyer, Uma N. and McCune, Timothy C.

Lie admissible algebras are Volichenko
arXiv:0709.0801v1
Description: Withdrawn by authors as faulty.
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