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Zacher, Giovanni
A lattice characterization of the finiteness of the index of a subgroup in a group (In Italian)
Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 69 (1980), no. 6, 317--323 (1982)
MR 84f:20027
Description: Finiteness of subgroup index preserved under lattice homomorphism. The theorem was proved independently by Rips. The proof is very group-theoreti-specific, hardly transferred to algebras.
Zaicev (=Zaitsev), M.V.
Locally residually finite varieties of Lie algebras
DOI: 10.1007/BF01159128
Math. Notes 44 (1988), N3, 674-680
MR 0972197
Zentralblatt: 0662.17012|0673.17014
Availability: hardcopy; 1988-locally.pdf
Locally Hopf varieties of Lie algebras
DOI: 10.1007/BF01158235
Math. Notes 45 (1989), N6, 469-472
MR 1019036
Zentralblatt: 0678.17008|0696.17006
Availability: hardcopy; 1989-locally.pdf
Residual finiteness and the Noetherian property of finitely generated Lie algebras
DOI: 10.1070/SM1989v064n02ABEH003322
Math. USSR Sb. 64 (1989), 495-504
Availability: MSB_64_2_A14.pdf
Locally representable varieties of algebras
DOI: 10.1070/SM1990v067n01ABEH002087
Math. USSR Sb. 67 (1990), 249-259
MR 1015041
Zentralblatt: 0688.17004|0699.17013
Description: Description of varieties of Lie algebras in which every finitely-generated algebra has a faithful representation of finite dimension over an extension of the ground field.
Availability: sm_67_249.pdf
Special Lie algebras with maximality condition for abelian subalgebras
DOI: 10.1080/00927879108824174
Comm. Alg. 19 (1991), 863-869
MR 92f:17005
Description: A special Lie algebra, all whose abelian subalgebras are finite-dimensional, is finite-dimensional.
Availability: hardcopy
On the embeddability of relatively free Lie algebras
DOI: 10.1070/RM1992v047n04ABEH000936
Rus. Math. Surveys 47 (1992), N4, 236-237
Zentralblatt: 0954.17500
Description: A question when a free Lie algbera in some variety is embeddable into an n-generated algebra in that variety; results about identities in simple finite-dimensional classical Lie algebras.
Availability: hardcopy; RMS_47_4_L22.pdf
Almost locally representable varieties of Lie algebras
DOI: 10.1007/BF01206383
Math. Notes 51 (1992), N3, 225-229
Availability: hardcopy; 1992-almost.pdf
Special Lie algebras
URL: zaicev/rm1093.pdf.bz2
DOI: 10.1070/RM1993v048n06ABEH001093
Russ. Math. Surv. 48 (1993), N6, 111-152
Description: An (interesting) survey.
Availability: hardcopy
THE BASE RANK OF VARIETIES OF LIE ALGEBRAS
DOI: 10.1070/SM1995v080n01ABEH003512
Sbornik Math. 80 (1995), N1, 15-31
Description: Any special variety of Lie algebras satisfying a standard identity contains a Grassman envelope of (superalgebra) osp(1,2).
Availability: MSB_80_1_A02.pdf
Standard and Capelli identities in Lie algebras
UMN 49 (1994), N2, 153-154
Description: Question: do identities of W_1 follow from the standard one? (for W_n, n>=2 this is not true).
Availability: hardcopy
Skew-symmetric identities in special Lie algebras
DOI: 10.1070/SM1995v186n01ABEH000004
1995 Sb. Math. 186 65-77
MR 1641672
Zentralblatt: 0855.17002
Description: Including identities of W_n.
Availability: MSB_186_1_A04.pdf
Identities of affine Kac-Moody algebras
Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1996, no.2, 33-36
Moscow Univ. Math. Bull. 51 (1996), no.2, 29-31
MR 1486810
Description: Identities of a non-twisted Kac-Moody algebra described in terms of an underlying simple algebra.
Varieties of affine Kac-Moody algebras
DOI: 10.1007/BF02356067
Math. Notes 62 (1997), N1, 80-86
MR 99g:17013
Zentralblatt: 0922.17005
Description: Identities of twisted Kac-Moody algebra coincide with a corresponding non-twisted ones.
Varieties and identities of affine KacMoody algebras
Methods in Ring Theory, Lecture Notes Pure Appl. Math., M. Dekker, 198 (1998), 303314
Availability: google books; 1998-varieties.tar
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Ob odnom ekstremalnom mnogoobrazii superalgebr Lie
Vestnik MGU 1997, N6, 18-20
Description: An example of a minimal variety of Lie superalgebras in which an adjoint action of odd elements is not nilpotent.
Group gradings on simple Lie algebras
Advances in Algebra Towards Millennium Problems, SAS Int. Publ., Delhi, 2005, 107--118
Zaicev, D.I. and Kargapolov, M. I. and Charin, V. S. (=Carin)
Infinite groups with prescribed properties of subgroups
Ukrain. Mat. Z. 24 (1972), 618--633
MR 47#1956
Description: A survey, mainly of S.N. Chernikov's works.
Zaidenberg, M G and Krein, S G and Kuchment, P A and Pankov, A A
Banach bundles and linear operators
Russ. Math. Surv. 30(1975), N5, 115-175
Availability: rm1523.pdf
Zalesskii, A.E.
On group rings of linear groups
DOI: 10.1007/BF00969045
Sib. Math. J. 12 (1971), 246-250
Zentralblatt: 0235.16009
Availability: un13883t65855316.pdf
Linear groups
DOI: 10.1070/RM1981v036n05ABEH003030
Rus. Math. Surv. 36 (1981), N5, 63-128
MR 83d:20032
Zentralblatt: 0501.20024
Description: A big and very valuable survey: linear hull of linear groups, group rings, anositropic groups, Tits alternative, Platonov's theorem about identities, finite linear groups.
Availability: hardcopy
Linear groups
Itogi Nauki Tekh., Ser. Algebra Topologiya Geom., Vol. 21, VINITI, 1983, 135-182
J. Sov. Math. 31 (1985), 2974-3004
Zentralblatt: 0561.20033
Description: A VINITI survey.
Availability: q17211gq4r78u376.pdf
Linear groups
Algebra - 4, VINITI, 1989, 116-
Encyclopedia of Math. Sci., Vol. 37, Algebra IV, Springer, 1993, 97-196
Zentralblatt: 0715.20027
Availability: CWI; google books; lin-groups-viniti/ (pp. 97-100,196,198-202, mainly toc and index); VR II Library (Iceland), 510.3 Enc
Group rings of locally finite groups and representation theory
Contemp. Math. 131 Part I (1992), 453-472
Zentralblatt: 0774.16012
Availability: hardcopy (book)
Zalesskii, A.E. and Mikhalev, A.V.
Group rings
DOI: 10.1007/BF01084660
Itogi Nauki Tekhn. (VINITI), Sovrem. Probl. Mat. 2, 1973, 5-118
J. Sov. Math. 4 (1975), 1-78
Zentralblatt: 0334.16011
Description: A VINITI survey.
Availability: group-rings-viniti.djvu, group-rings-viniti-eng.pdf; hardcopy; Kolkhoz
Zalesskii, A.E. and Smirnov, M.B.
Lie algebra associated with linear group
DOI: 10.1080/00927878108822696
Comm. Algebra 9 (1981), N20, 2075-2100
MR 83e:16036
Description: Lie algebras generated by elements g - g^{-1} where g - elements of a group G. Rings with involutions are heavily involved.
Availability: a780121970.pdf; hardcopy (printed chaotically)
Zaliznyak, A.A.
Linguistics in the sense of A. T. Fomenko
Russ. Math. Surv. 55, No.2, 369-404 (2000)
Zentralblatt: 0960.01038
Description: With a subsequent comment of S.P. Novikov "Psevdoistoriya i psevdomatematika: fantastika v nashei zhizni".
Zamolodchikov, A.B. and Zamolodchikov, Al.B.
Conformal Field Theory and Critical Phenomena in Two-Dimensional Systems
some book, pp. 271-433
Description: Including representations of Virasoro.
Availability: 2-conformal.djvu
Zarhin, Yuri G.
l-adic representations and Lie algebras
Preprint
Availability: hardcopy
Abelian varieties of K3 type
Preprint, 1992
Availability: hardcopy
Abelian varieties having a reduction of K3 type
Duke M.J. 65 (1992), N3, 511-527
Availability: hardcopy
Zariski, O. and Samuel, P.
Commutative Algebra
2 volumes, Izdatelstvo Inostrannoi Literatury, Moscow, 1963 (in Russian)
Availability: Kolkhoz; google books
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Zassenhaus, Hans
Ein Verfahren, jeder endlichen p-Gruppe einen Lie Ring mit der Charakteristik p zu zuordnen
Abh. Math. Sem. Univ. Hamburg 13 (1939), 200-205
Availability: absent in Icelandic librraies
Ueber Liesche Ringe mit Primzahlcharacteristick
Abh. Math. Sem. Hansischen Univ. 13 (1940), 1-100
Availability: hardcopy
The Theory of Groups
2nd ed., Chelsea Publ. Co., 1958; hardcover, 265 pp.
Availability: hardcopy (book)
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On the Cartan subalgebra of a Lie algebra
DOI: 10.1016/0024-3795(83)80047-0
Lin. Alg. Appl. 52-53 (1983), 743-761
Description: Constructive construction.
Zavorotchenko, I.A.
Homogeneous structure of the free Lie superalgebra
Vestn. Mosk. Univ., Ser. I 1991, No.3, 80-82 (1991)
Mosc. Univ. Math. Bull. 46, No.3, 65-66 (1991)
Zentralblatt: 0738.17005
Zbl Review: The author proves some results on the structure of the homogeneous components of a free Lie superalgebra with an odd set of generators when considered as a module over the respective general linear group. The results are quite similar to those on free Lie algebras due to {\it A. A. Klyachko} [Sib. Mat. Zh. 15, 1296-1304 (1974; Zbl 0315.15015)].
Zelinsky, Daniel
Every linear transformation is a sum of nonsingular ones
Abstract of talk presented to AMS meeting, BAMS July 1954, p. 365
Description: Every linear transformation of a (possibly infinite-dimensional) vector space over a division ring representable as a sum of two nonsingular linear transformations (automorphisms).
Availability: hardcopy
Every linear transformation is a sum of nonsingular ones
PAMS 5 (1954), 627-630
Zellini, P.
On the optimal computation of a set of symmetric, persymmetric or both symmetric and persymmetric bilinear forms
Preprint Dept. Comp. Sci., Carnegie-Mellon Univ., March 1976
Availability: hardcopy
Zelmanov, E.I.
Semigroup algebras with identities
DOI: 10.1007/BF00967196
Siber. Math. J. 18 (1977), N4, 557-565
Zentralblatt: 0361.20064
Availability: 1977-semigroup.pdf
Absolute zero divisors in Jordan pairs and Lie algebras
Math. USSR Sb. 40 (1981), 549-565
Zentralblatt: 0467.17005
Lie algebras with a finite grading
DOI: 10.1070/SM1985v052n02ABEH002895
Mat. Sb. 124 (1984), 353-392
Math. USSR Sbornik 52 (1985), 347-385
Zentralblatt: 546.17005
Description: Description of (infinite-dimensioanl) simple Lie algebras with finite grading.
Availability: MSB_52_2_A05.pdf
Lie algebras with an algebraic adjoint representation
Math. USSR Sb. 49 (1984), 537-552
Zentralblatt: 0544.17003
Description: p=0. A Lie algebra satisfying a polynomial identity and such that every adjoint operator is algebraic, is locally finite-dimensional. A Lie algebra such that adjoint operators are algebraic of bounded degree, is locally finite-dimensional.
Availability: hardcopy
On a class of local translation invariant Lie algebras
Sov. Math. Dokl. 35 (1987), 216-218
Dokl. Akad. Nauk SSSR 292 (1987), 1294-1297
Zentralblatt: 0629.17002
Description: Simple finie-dimensional Novikov algebras [ x(yz)=y(xz) and x(yz-zy)=(xy)z-(xz)y ] of charcteristic 0 are one-dmensional.
On the nilpotency of nil algebras
DOI: 10.1007/BFb0082013
LNM 1352 (1988), 227-240
Description: A survey, featuring application of superalgebras.
Availability: hardcopy
On some problems of group theory and Lie algebras
DOI: 10.1070/SM1990v066n01ABEH001168
Math USSR Sbornik 66 (1990), N1, 159-168
Description: Around Burnside problem.
Availability: sm_66_159.pdf
Superalgebras and identities
AMS Transl. 148 (1991), 39-46
Zentralblatt: 0746.17002
On linear groups and Lie algebras over arbitrary rings of coefficients
Jordan Algebras (eds. W.Kaup, K.McCrimmon, H.P.Petersson), deGruyter, 1994, 327-336
MR 95h:17026
Zentralblatt: 0826.17029
Description: KKT construction (not really Lie algebras over rings, as title may suggest)
Availability: CWI: D84-KAU-770
On groups satisfying the Golod-Shafarevich condition
New horizons in pro-p groups (ed. M. du Sautoy et al.), Birkhauser, 2000, 223-232
Zentralblatt: 0974.20022
Description: A pro-p group G satisfying the r > d^2/4 (r - number of relations, d - number of generators), contains a free non-abelian pro-p subgroup.
Lie ring methods in the theory of nilpotent groups
Groups '93 Galway/St. Andrews. Volume 2 (ed. C.M. Campbell et al.), Cambridge Univ. Press, Lond. Math. Soc. Lect. Note Ser. 212 (1995), 567-585
Zentralblatt: 0860.20031
Description: PI.
Availability: Google books
On the structure of conformal algebras
Contemp. Math. 264 (2000), Combinatorial and Computational Algebra, 139-153
Zentralblatt: 1039.17031
Description: A survey
Infinite algebras and pro-p groups
DOI: 10.1007/3-7643-7447-0_11
Infinite Groups: Geometric, Combinatorial and Dynamical Aspects, Springer, 2005, 403-413
Availability: 2005-infinite.pdf
Some open problems in the theory of infinite dimensional algebras
J. Korean Math. Soc. 44 (2007), No. 5, pp. 1185-1195
Zelmanov, E.I. and Kostrikin, A.I.
A theorem on sandwich algebras
Proc. Steklov Inst. Math. 1991, no.4, 121-126
MR 92h:17007
Zha, Jianguo and Hu, Jianhua
Certain classes of automorphisms of infinite rank affine Lie algebras
Comm. Alg. 33 (2005), 1893-1901
MR 2006e:17023
Availability: hardcopy
Zhan, Xingzhi
Matrix Inequalities
DOI: 10.1007/b83956
LNM 1790 (2004)
Zhang, Yongzheng and Fu, Hongchen
Finite-dimensional Hamiltonian Lie superalgebra
Comm. Alg. 30(2002), No.6, 2651-2673
Availability: 120003981.pdf
Zhang, Yao-Zhong and Gould, Mark D.
A Unified and Complete Construction of All Finite Dimensional Irreducible Representations of gl(2|2)
math.QA/0405043
Zhang, Yongzheng and Liu, Wende
The general and special superalgebras of formal vectorfields
Sci. China Ser. A 47 (2004), no. 2, 272--283
Zhang, Haishan and Lu, Caihui
Classification and isomorphisms of non-degenerate solvable Lie algebras of maximal rank
Algebra Colloq. 15 (2008), N2, 347-360
Zhang, Yongzheng and Shen, Guangyu
Embedding theorem of Z-graded Lie superalgebras
Science in China (Series A) 41 (1998), 1009-1016
Zhang, Zhi Xue and Shi, Yi Qian and Zhao, L. N.
Invariant symmetric bilinear forms on Lie triple systems
Comm. Algebra 30 (2002), no. 11, 5563--5573
Zhang, Zilong (=Zhang, Zi Long) and Zhang, Gengsheng (=Zhang, Geng Sheng) and Jia, Yuting (Jia, Yu Ting)
Representations of the two parameter deformation of the Virasoro algebra
Acta Math. Sci. Ser. B Engl. Ed. 23 (2003), no. 3, 309--315
New simple infinite dimensional Lie algebras related to generalized Cartan type-K Lie algebras. (Chinese. English summary)
J. Systems Sci. Math. Sci. 23 (2003), no. 1, 86--93
Zhang, Hechun and Zhao, Kaiming
Representations of the virasoro-like algebra and its q-Analog
DOI: 10.1080/00927879608825820
Communications in Algebra, Volume 24, Issue 14 1996 , pages 4361 - 4372
Zhang, Xuemei and Zhou, Jianhua
Centroids of differentiably simple color algebras
Algebra Colloquium 13 (2006), No. 3, 447-454
Zhang, Chaowen
On simple modules for the restricted Lie algebras of Cartan type
Comm. Algebra 30 (2002), no. 11, 5393--5429
Description: (Restricted) special, hamiltonian and contact.
Representations of the restricted Lie algebras of Cartan type
J. Algebra 290 (2005), no. 2, 408--432
On the $L_0$-module structure for the generalized Witt algebra and the special Lie algebra
J. Lie Theory 17 (2007), no. 4, 709--72
Zhang, Fuzhen
A matrix identity on the Schur complement
Lin. Multilin. Alg. 52 (2004), N5, 367-373
Availability: hardcopy
Zhang, Hai Shan
A class of non-degenerate solvable Lie Algebras and their derivations
DOI: 10.1007/s10114-007-1011-z
Acta Math. Sinica 24 (2008), N1, 7-16
Description: Non-degenerate means having nodegenarte invariant bilinear form. Construction from Cartan matrices.
Zhang, P.G.
Barings Bankruptcy and Financial Derivatives
World Scientific, 1995; paperback, 166 pp.
Availability: hardcopy (book)
Zhang, Shouchuan
On the Lie's Theorem for Lie Color Algebras
arXiv:math/0308089
Classical Yang-Baxter equation and low dimensional triangular Lie bialgebras over arbitary field
arXiv:math.RA/0603697
Zhang, Yong Zheng
Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic
Acta Mathematica Sinica 18 (2002) 4, 687-700
Modular Lie Superalgebras of H-type
Acta Mathematica Sinica Issue: Volume 20, Number 4 July 2004 Pages: 683 - 694
Zhao, Kaiming
A Class of Infinite Dimensional Simple Lie Algebras
DOI: 10.1112/S0024610700008954
Journal of the London Mathematical Society 2000 62(1):71-84
Description: Generalized Block/Witt-like.
Simple algebras of Weyl type, II
Proc. Amer. Math. Soc. 130 (2002), 1323-1332
Simple Lie color algebras from graded associative algebras
DOI: 10.1016/S0021-8693(02)00564-1
J. Algebra 269(2003), N2, 439-455
Description: Herstein's theorem about simplicity of [A,A]/([A,A] \cap Z(A)) for the case of color algebras.
Weyl type algebras from quantum tori
DOI: 10.1142/S0219199706002064
Comm. Contemp. Math. 8 (2006), No. 2, 135-165
MR 2007c:17028
Description: 2-cocycles in some Lie algebras.
Zhao, Yufeng and Bai, Chengming and Meng, Daoji
Some Results on Novikov-Poisson Algebras
DOI: 10.1023/B:IJTP.0000028883.87463.87
International Journal of Theoretical Physics Volume 43, Number 2 / February, 2004 Pages 519-528
Zharinov, V.V.
Lecture Notes on Geometrical Aspects of Partial Differential Equations
World Scientific, 1992; hardcover with dustjacket, 360 pp.
Availability: hardcopy (book)
O differencirovaniyakh algebry Heisenberga
Teor. Mat. Fiz. 118 (1999), N2, 163-189
On the cohomology of the Heisenberg algebras
Proc. Steklov Inst. Math. 228 (2000), 52-66
Zentralblatt: 1003.17010 (me)
Availability: hardcopy
Cohomology of the Lie algebra of vector fields on the line
Teoret. Mat. Fiz. 128 (2001), no.2, 147-160
Cohomology of a Poisson algebra
Theor. Math. Phys. 136(2003), 1049-1065 (English)
Teoret. Mat. Fiz. 136 (2003), no.2, 179-196 (Russian)
Abstract: We propose a technique for calculating the cohomology of a Poisson algebra using the Laplace transformation of distributions with compact support. We find the lowest-order cohomologies of this algebra with coefficients in two natural representations: the trivial and the adjoint representations.
Availability: zharinov.pdf
Hochschild cohomologies of the algebra of smooth functions
Theor. Math. Phys. 140 (2004), 1195-1204
(me)
Availability: hardcopy
Hochschild cohomology of the algebra of smooth functions on the torus
Theor. Math. Phys. 144 (2005), N3, 1247 - 1263
Zharov, O. A. and Zolotarev, V. Yu. and Onishchik, A. L.
Reducible maximal subalgebras of classical Lie superalgebras
Voprosy teorii grupp i gomologichesko\u\i algebry Edited by A. L. Onishchik.
Yaroslav. Gos. Univ., Yaroslavl\cprime, 1987 (161--163)
Zhdanovskii, I.Yu.
Ob ortogonalnykh parakh. II
Vestnik MGU 2001, N5, 44-46
Description: Orthogonal pairs of Cartan subalgebras in sl(4,C)
Zhelobenko, D.P.
On formal series and infinite products over Lie algebras
Lobachevskii J. Math. 4 (1999), 207-218
Description: Extensions of notion of enveloping algebra.
Predstavleniya reduktivnykh algebr Lie
354 pp. (in Russian)
Availability: Kolkhoz
Principal Structures and Methods of Representation Theory
AMS, 2005
Zhelyabin, V. N. and Tikhov, A. S.
Novikov-Poisson algebras and associative commutative derivation algebras
DOI: 10.1007/s10469-008-9002-4
Algebra and Logic Volume 47, Number 2 / March, 2008 Pages 107-117
Zheng, B.
Decomposition of matrices into commutators of involutions
Lin. Alg. Appl. 347(2002), 1-7
Abstract: We consider the group SL_n(F) of all nxn matrices with determinant 1 over a field F. We prove that, if F is the complex number field or the real number field, every matrix A in SLnF is a product of at most two commutators of involutions. Moreover, two is the smallest such number.
Zheng, Baodong and You, Hong
Products of commutators of transvections over local rings
Linear Algebra and its Applications Volume 357, Issues 1-3, 15 December 2002, Pages 45-57
Abstract: Let R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, then every matrix in SLnR (n2) is a product of at most [n/2]+2 commutators of transvections and the length [res A/2]+2 cannot be reduced for n=2.
Zhevlakov, K.A. and Slinko, A.M. and Shestakov, I.P. and Shirshov, A.I.
Rings that are nearly associative
Nauka, Moscow, 1978
AP, 1982
MR 80h:17002 and MR 83i:17001
Zhou, Boxun
On the tensor products of left modules and tricomplexes
Nanjing Daxue Xuebao Ziran Kexue Ban 1981, N2, 239-253
MR 85k:16044
Description: Tricomplexes, their total complexes and Kunneth theorem generalizing case of bicomplexes.
Zhou, Caijun
Higher derivations and local cohomology modules
J. Alg. 201(1998), 363-372
Availability: highder.pdf
Zhu, Fuhai and Chen, Zhiqi
Novikov algebras with associative bilinear forms
DOI: 10.1088/1751-8113/40/47/014
J. Phys. A: Math. Theor. 40 14243-14251
Zhu, Hongtu and Ibrahim, Joseph G. and Lee, Sikyum and Zhang, Heping
Perturbation selection and influence measures in local influence analysis
DOI: 10.1214/009053607000000343
arXiv:0803.2986
: Annals of Statistics 2007, Vol. 35, No. 6, 2565-2588
Description: Perturbations of statistical models.
Zhu, Linsheng and Meng, Daoji
Quadratic algebras and commutative associative algebras
DOI: 10.1081/AGB-100002182
Comm. Alg. 29(2001), N5, 2249-2268
Description: Symmetric invariant bilinear forms on L\otimes A. Symmetric invariant bilinear forms in terms of Levi decomposition.
Availability: 100002182.pdf; hardcopy
Zhu, Jun and Xiong, Changping and Zhang, Renyuan
All-derivable points in the algebra of all upper triangular matricesstar, open
DOI: 10.1016/j.laa.2008.04.010
Linear Algebra and its Applications Volume 429, Issue 4, 1 August 2008, Pages 804-818
Description: In the algebra of upper trinagular matrices, D(xy) = D(x)y + xD(y) for any x,y such that xy=a implies D is a derivation, if and only if a is not zero.
Zhu, Fuhai and Zhu, Linsheng
The uniquiness of the decomposition of quadratic Lie algebras
Comm. Alg. 29(2001), 5145-5154
Description: Lie algebras equipped with nondegenarate symmetric invarinat bilinear form.
Availability: 100106807.pdf
Zhukov, A.I.
Reduced systems of defining relations in nonassociative algebras (in Russian)
Mat. Sbornik 27(1950), 267-280
Zentralblatt: 0038.17001
Availability: hardcopy
Zhuravlev, V.M.
A free Lie algebra as a module over the full linear group
Sbornik Math. 187 (1996), 215-236
The remarks about verbal ideals of a free finite-generated Lie algebra
URL: http://www.emis.ams.org/journals/FPM/eng/97/972/97207h.htm http://mech.math.msu.su/~fpm/rus/97/972/97207g.htm
Fund. Prikl. Mat. 3 (1997), N2, 435-451
Description: 1. Let W be some set of nonassociative polynomials, then W(L(X)) = U(Der(L(X))(W). 2. Action of sl(2) on the 2-generated free Lie algebra (p=0).
Availability: hardcopy (2 copies)
Ziegler, Martin
Model theory of modules
Ann. Pure Appl. Logic 26 (1984), no. 2, 149--213
MR 86c:03034
Availability: science.pdf
Zilber, B.I.
On the isomorphism and elementary equivalence of commutative semigroups
DOI: 10.1007/BF02219044
Algebra and Logic 9 (1970), N6, 400-402
Description: A counterexample.
Rings with \aleph_1-categorical theories
DOI: 10.1007/BF01463149
Algebra and Logic 13 (1974), N2, 95-104
Availability: 1974-rings.pdf
Groups and rings whose theory is categorical
Fund. Math. 95 (1977), N3, 173-188 (Russian)
AMS Transl. 149 (1991), 1-16 (English)
Zentralblatt: 0363.02060
Description: Th. 5.2. A theory of a simple algebraic group over algebraically closed field is omega_1-categorical. Interpretation of a linear algebraic group over algebraically closed field in certain omega_1-categorical theory.
Availability: fm9516.pdf; journal's web site; hardcopy
Uncountable categorical nilpotent Lie groups and Lie algebras
Izv. VUZ 1982, N5, 75
Sov. Math. Izv. VUZ 26 (1982), No.5, 98-99
Zentralblatt: 0516.20019
Description: Only statements of theorems. Criterion for a Lie algebra over Q to be categorical (roughly, this is equivalent to be finite-dimensional over some field and nondecomposable into direct sum).
Availability: hardcopy
Some model theory of simple algebraic groups over algebraically closed fields
Colloq. Math. 48 (1984), 173-180
MR 86f:03055
Description: A model-theoretical (as opposed to original one, utilizing structure theory of algebraic groups) proof of Borel-Tits theorem about abstract homomorphisms of algebraic groups.
Availability: hardcopy
Zimboras, Zoltan
What can one reconstruct from the representation ring of a compact group?
math.GR/0512107
to appear in the Proceedings of the 6th International Workshop on Lie Theory and Its Applications in Physics (15-21 August 2005, Varna, Bulgaria)
Zolotykh, Andrei A.
A package for computations in simple Lie algebra representations
ISSAC '91 (ed. S.M. Watt), ACM Press, 1991, 237
Zentralblatt: pre01273668
The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities
Fundam. Prikl. Mat. 2 (1996), No.1, 289-293
Zentralblatt: 0974.17006
Description: Over algebraically closed field, p=0, a finite-dimensional simple Lie superalgebra is uniquely determined by identities of its Grassman envelope.
Tensor product decomposition and other algorithms for representations of large simple Lie algebras
ISSAC '97 (ed. W.W. Ku"chlin), ACM Press, 1997, 60-67
Zentralblatt: 0957.17002
Zomorodian, A.J.
Topology for Computing
Cambridge Univ. Press, 2005
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Zomorodian, Afra and Carlsson, Gunnar
Computing persistent homology
Discrete and Computational Geometry, 33 (2), pp. 247-274
Zorn, Max
On a theorem of Engel
BAMS 43 (1937), 401-404
Zentralblatt: 0017.00304
Jahrbuch: 63.0345.03
Description: An alternative proof, based on induction on dimension and easy combinatorics of Lie words.
Availability: hardcopy
Zot'ev, D B
Contact degeneracies of closed 2-forms
DOI: 10.1070/SM2007v198n04ABEH003846
SB MATH, 2007, 198 (4), 491-520
Description: Darboux theorem on canoncail forms.
Availability: sm_198_491.pdf
Zubrilin, Konstantin Anatolievich
O tozhdestvakh algebry Lie W_1
Vestnik MGU 1991, N3, 74-77
Algebras satisfying Capelli identities
DOI: 10.1070/SM1995v186n03ABEH000021
Sbornik Math. 186 (1995), 359-370
Availability: MSB_186_3_A04.pdf
Zubrilin, Konstantin Anatolievich and Stepanov, A.Yu.
O sovershennykh konechnomernykh algebrakh , udovletvoryayushchikh standartnomu Lievu tozhdestvu stepeni 5
URL: http://mech.math.msu.su/~fpm/rus/96/961/96105t.htm http://www.emis.de/journals/FPM/rus/96/961/96105h.htm
Fund. Prikl. Mat. 2 (1996), N1, 125-131
Description: Each finite-dimensional algebra satisfying a standard Lie identity of degree 5 is decomposed into the direct sum of a solvable and perfect Lie algebras. Each such perfect Lie algebra of kind sl(2) \otimes A for some commutative associative algebra A.
Availability: Zubste.ps
Zuevsky, A.
Continual Lie algebras and noncommutative counterparts of exactly solvable models
DOI: 10.1088/0305-4470/37/2/020
J. Phys. A: Math. Gen. 37 (2004), 537-547
Continual Lie algebras and noncommutative counterparts of exactly solvable models
Czechoslovak J. Phys. 55 (2005), no. 11, 1545--1551
Preprint MPI Bonn 2003 - 54
Description: Generalization of Vershik-Saveliev ones.
Zung, Chan Nam
SIMPLE -GRADED LIE ALGEBRAS
RUSS AC SC SB MATH, 1995, 83 (2), 553-564
Description: Criteria for simplicity, relationship with properties of graded components.
Zvonkin, A.K. and Shubin, M.A.
Non-standard analysis and singular perturbations of ordinary differential equations
Rus. Math. Surv. 39(1984), N2, 69-131
Description: An example of use of nonstandard analysis.
Availability: hardcopy
Zwara, Grzegorz
Degenerations of finite dimensional modules are given by extensions
DOI: 10.1023/A:1001778532124
Compositio Mathematica 121 (2000), 205--218
Description: Relations between degenerations and extensions of modules over associative algebras.
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