Bahturin Y.A., Mikhalev A.A., Petrogradsky V.M. — Infinite dimensional lie superalgebras :: Электронная библиотека попечительского совета мехмата МГУ

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Bahturin Y.A., Mikhalev A.A., Petrogradsky V.M. — Infinite dimensional lie superalgebras

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Название: Infinite dimensional lie superalgebras

Авторы: Bahturin Y.A., Mikhalev A.A., Petrogradsky V.M.

Аннотация:

In this book we consider some questions of the theory of Lie superalgebras in the spirit of infinite-dimensional Lie algebras. The need for such a book is motivated by the large number of results on this topic scattered through many journals and, of course, by the importance of Lie superalgebras which proved to be useful for quite a few areas of mathematics and physics. There have appeared several books and surveys on Lie superalgebras, but, reflecting the initial stage of the development, they are devoted to special topics of the theory without making an attempt of exposing general features.

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Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 250

Добавлена в каталог: 04.06.2011

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Предметный указатель

$p^{n}$ -polynomial      118
$\theta$ -identity      122
Abe, E.      237
Abelian wreath product      27
Adjoint representation      2
Ado, I.D.      37
Agalakov, S.A.      109 237
Algebra      1
Anan'in, A.Z.      236 237
Anticommutativity      1 9
Antipode      92
Artin, E.      212
As-regular monomial      69
Associated graded algebra      7
Associative algebra      1
Associative form      47
Associative word      39
Atiyah, M.      212
Baer, R.      161
Bahturin, Yu.A.      2 3 23 25 26 32 35 38 79 108 112 122 123 144 173 178 184 185 230 236 237 238
Behr, E.J.      238
Beidar, k.i.      236 238
Berezin, F.A.      13 37 238
Bergen, J.      145 173 238
Bergman, G.      82 109 238
Berkson, A.      174 238
Bilinear form $\varepsilon$       14
Birkhoff, G.      4 13 23 27 28 70 81 85 87 139 202 217 226
Bokut', L.A.      82 108 238
Bourbaki, N.      211 212 239
Burnside's theorem      21
Burnside, W.      20 21 22
Cartesian product      12
centralizer      20
Co-product      91
Co-unit      91
Coalgebra      92
Cohn, P.M.      43 53 64 78 79 239
Colour Grassmann algebra      89
Colour Lie super-ring      78
Colour lie superalgebra      14
Colour polynomial ring      16 89
Colour tensor product      89
Commutator brackets      1
composition      99 100
Composition lemma      101
Consequence      23
Curtis, C.W.      174 239
Degree      5
Delta-set      124 157
Derivation      2
Derived series      3 11
Diagonal mapping      91
Diamond lemma      82
Dicks, W.      109 239
Direct product      12
Dixmier, J.      173 239
Dokovic, D.Z.      53 239
Drensky, V.S.      38 238
Elementary itransformation      57 72
Elementary itransformation, triangular      57 72
Engel, F.      3 13 116 184
Entry problem      68 74
Equality problem      103
Equivalent identities      23
Even elements      8
Even subspace      10
Farkas, D.      174 239
Feldvoss, J.      174 239
Filtration      7 89
Free algebra      39
Free colour Lie metabelian      27
Free colour Lie super-ring      78
Free colour lie superalgebra      39
Free product with amalgamated subalgebra      105
Freiheitssatz      104
Friedrichs Criterion      81 93
Friedrichs, K.O.      81 85 240
Frobenius algebra      163
Generic Flatness Lemma      149
Gerasimov, V.N.      109 240
Golod, E.S.      240
Graded algebra      4
Graded field      20
Graded homomorphism      5
Graded ideal      5
Graded irreducible module      152
Graded ring      4
Graded subalgebra      5
Grassmann algebra      6
Grassmann envelope      8 17
Groebner basis      84
Hall, M.      80 240
Hall, P.      80 240
Hannabus, K.C.      37 240
Hartley, B.      174 240
Hedges, M.C.      109 240
Heisenberg superalgebra      112 123 178
Herstein, I.N.      112 137 240
Higgins, P.J.      181 240
Hilbert series      29
Hilbert's basis theorem      90
Hilbert, D.      90
Hochschild, G.      174 240
Homogeneous element      5
Homogeneous identity      24
Homomorphism of L-modules      3
Hopf algebra      92
Hopf property      175
Identical relation      23
Identity      23
Identity of representation      180
Inclusion ambiguity      82
Independent set      56 70
Injective module      161
Invariant      3
Invariant bilinear mapping      3
Irreducible element      81
Jacobi identity      1 9
Jacobson, N.      1 21 112 116 120 129 131 136 147 155 240
Kac, V.G.      11 37 241
Kantor, I.L.      80 241
Kaplansky, I.      112 117 158
Kharchenko, V.K.      108 113 239
Kostrikin, A.I.      224 230 241
Kryazhovskikh, G.V.      241
Kukin, g.p.      80 108 145 238 241
Kurosh, A.G.      79 241
L'vov, I.V.      108 239
l-homogeneous element      49 70
Latyshev, V.N.      84 108 144 241
Leading term      49 75
Left-normed n-fold commutator      2
Leites, D.A.      37 242
Lemaire, J.M.      80 242
Length      39 49 70
Lewin, J.      109 242
Lewin, T.      109 242
Lexicographical order      40
Lichtman, A.I.      145 242
Lie algebra      1
Lie algebra, abelian      1

Lie algebra, metabelian      2 3
Lie algebra, nilpotent      2 3
Lie algebra, soluble      3 11
Lie superalgebra      9
Lie superalgebra, finitely separable      94
Lie superalgebra, nilpotent      11
Lie superalgebra, Noetherian      175
Lie superalgebra, representable      177
Lie superalgebra, residually finite      177
Lie superalgebra, residually in a family      201
Lie superalgebra, restricted      18
Lie type algebra      36
Lie, S.      3
Locally Wedderburn algebra      162
Lower central series      3 11
Macdonald, I.D.      212 237
Mackey, G.W.      242
Magnus, W.      80 109 242
Makar-Limanov, L.G.      109 242
Mal'cev, A.I.      236 242
McConnell, J.      90 173 242
Michaelis, W.      236 242
Michel, J.      80 243
Mikhalev, A.A.      37 53 65 79 80 109 236 243
Mishchenko, S.P.      236 243
Module      2
Module, residually in a family      214
Moebius function      43
Molev, A.I.      49 80 243
Monolith      205
Montgomery, s.      173 238 243
Mosolova, L.V.      38 243
Multidegree      39
Multihomogeneous element      49 70
Multihomogeneous identity      24
Multilinear identity      24
Mutual commutator      3
Neumann, P.M.      123 144
Nil-radical      130
Nilpotent index      2
Nilpotent space of transformations      181
Non-associative monomial      39
Normal form      81
Normal identity      24
Odd element      8
Ol'shanskii, A.Yu.      238
Overlap ambiguity      82
p-special monomial      108
p-superalgebra      18
Passmann, D.S.      145 173 174 238 244
Paul, S.      243
PBW-Theorem      85 87
Pchelintsev, S.V.      244
Petrogradsky, v.m.      144 173 174 244
Poincare, H.      4 13 27 28 70 81 85 87 139 202 217 226
Posner, E.C.      137
Primitive element      92
Procesi, C.      113 244
Product variety      233
Ps-regular monomial      69
Rank      23 49 70
Razmyslov, Yu.P.      244
Reduced set      57 70
Reduction      81
Reduction system      81
Rees, D.      212
Regular monomial      40
Regular ring      161
Regular word      40
Reiner, I.      174 239
Renault, G.      174 244
Representable algebra      210
Representable module      215
Representation      2
Residually finite module      209
Resolvable ambiguity      82
Restricted universal enveloping algebra      87
Right normed n-fold commutator      2
Rittenberg, V.      14 244
Robson, J.C.      90 242
s-regular monomial      40
S-regular word      40
Samuel, P.      211 246
Scheunert, M.      11 37 244
Schreier's formula      62
Schreier, O.      53 62 69
Schuetzenberger, M.P.      80 245
Schur's lemma      20
Schur, I.      20 21 173
Self-injective algebra      162
Seligman, G.B.      130 245
Semidirect product      12
Shestakov, I.P.      108 238
Shirshov, A.I.      vii 53 65 80 108 245
Shtern, A.S.      80 245
Slin'ko, A.M.      108 238
Small, L.      113 244
Smith, S.P.      243
Snider, R.L.      174 239
Specht — Wever Criterion      51
Specht, W.      44 51
Special monomial      106
Superalgebra      8
Superderivation      11
Supertrace      11
Sweedler, M.E.      245
Triangulable module      3
Tsalenko, L.M.      49 80 243
Ufnarovsky, V.A.      80 84 108 245
Umirbayev, U.U.      109 245
Universal enveloping algebra      3 15 85
Universal enveloping algebra, restricted      87
Van Geel, J.      38 245
Van oystaeyen, f.      38 245
Variety      23 24
Variety, abelian      25
Variety, locally Hopf      199
Variety, locally Noetherien      199
Variety, locally representable      222
Variety, locally residually finite      222
Variety, locally soluble      199
Variety, metabelian      27
Variety, multinilpotent      33
Variety, nilpotent      25
Variety, soluble      25
Variety, Specht      34
Vasiliev, M.A.      245
Verbal ideal      23
Viennot, G.      80 245
Villamayor, O.E.      174 245
Volichenko, I.B.      69 236 246
Weak identity      220
Weight function      96
Wever, F.      44 51
Witt's Formula      43 48
Witt, E.      vii 4 13 27 28 43 48 70 78 80 81 85 87 139 202 217 226 246
Wyler, D.      14 244
Young diagram      26
Zaicev, M.V.      236 238 246
Zariski, O.      211 246
Zhukov, A.I.      246
Zorn, M.      205

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