Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Onishchik A.L., Vinberg E.B. (eds.) — Lie Groups and Lie Algebras (volume 2)
Onishchik A.L., Vinberg E.B. (eds.) — Lie Groups and Lie Algebras (volume 2)

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Lie Groups and Lie Algebras (volume 2)

Авторы: Onishchik A.L., Vinberg E.B. (eds.)

Аннотация:

The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes devoted to the theory of Lie groups and Lie algebras. The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternative approach via the universal algebra and the Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie groups. The second more advanced part treats the topic of Lie transformation groups covering e.g. properties of orbits and stabilizers, homogeneous fibre bundles, Frobenius duality, groups of automorphisms of geometric structures, Lie algebras of vector fields and the existence of slices. The work of the last decades including the most recent research results is covered. The book contains numerous examples and describes connections with topology, differential geometry, analysis and applications. It will be of great interest to graduate students and researchers in mathematics and theoretical physics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 223

Добавлена в каталог: 09.06.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$d$-algebra      173
$d$-algebra, graded      173
$K$-functor, additive      202
$\mathbb{Q}$-form of $N$      46
$\smile$-product      132
Algebra, current      149 196
Algebra, universal envelopping      136
Algebraic $k$-group      31
Algebraic matrix group      31
Algebras of infinite matrices      201
Apanasov B. N.      80 116
Arithmeticity problem      96
Ash, A.      116
Auslandcr. L.      5 6 54 61 116
Auslander M.      116
Baily, W. L. jr      86 116
Bally — Borel compactification      85
Bar-resolution      131
Barth, W.      116
Beilinson, S. A.      204 211
Bernstein, I. N.      206
Betti number, first      20
Betti, E.      20
Bieberbach, L.      6
Bolt, R.      178 193 210 211
Bonnet, O.      101
Borel density theorem      37
Borel — Harish — Chandra theorem      34
Borel, A.      19 34 35 37 75 81 85 100 116 152 163 209 211
Borevich, Z, I.      34 117
Bott — Kostant theorem      178
Boundary component      85
Bourbaki. N.      117
Brezln, J.      116 117
Brown, K. S.      132 147 156 211
Brylinski, J. — L.      206
Buser, P.      117
Campbell, J. E.      43
Cartan, E.      140 189
Cartan’s formula      140
Cartan’s series of infinite-dimensional complex Lie algebras      189
Cassels, J. W. S.      74 117
Centre of a Dirichlet domain      16
Chabauty topology      28
Chabauty, C.      26 27 117
Chain complex of a Lie algebra, standard      139
Charlap, C.      117
Coboundaries      28
Cochain complex of a Lie algebra      140
Cochain complex, standard      139
Cochain of a group      128
Coefficient sequences      145
Cohomology groups      127 143
Cohomology of a Lie superalgebra      172
Cohomology of groups, continuous      135
Cohomology of Lie algebra      137
Cohomology of Lie algebra, relative      141
Cohomology of the algebra      131
Cohomology, cyclic      202
Cohomology, diagonal      193 194
Commensurator      11
Complex of $\infty$-Jets      136
Congruence problem      96
Congruence subgroup      96
Conjecture by Raghunathan      24
Connea, A.      199 202 211
Cooper, D.      117
Coproduct (diagonal)      133
Coproduct, coassociativity      133
Corlette, K.      117
Cup-product      132
Current algebras      196
Curve, elliptic      14
Cyclic cohomology      200
Dany. S. G.      24
Date, E.      204 211 212
de Rham, G.      140 149
Dedekind, R.      5
Deformation of a discrete subgroup of a Lie group      27
Deformation of a Lie algebra      168
Deformation of a Lie algebra, equivalent      168
Deformation of a Lie algebra, infinitesimal      167
Deformation of Lie superalgebras      175
Deformation of Lie superalgebras, miniversal      175
Deformation of Lie superalgebras, versal      175
Deligne      97 117
Delone, B. N.      117
Derivation, inner      159
Derivation, outer      159
Deuring M.      117
Dimension of a group, cohomological      111
Dimension of a group, virtual cohomological      111
Dirichlet domain      16
Dirichlet domain, center      16
Dirlchtet P G. L.      16
Domain, fundamental      15
Doodhar, V. V.      209 212
Dubrovin, B. A.      166 212
Eilenberg — Moore spectral sequence      135
Eilenberg, S.      135 144 212
Euler characteristic of a group      112
Euler, L.      112
Ext      129
Extensions      161
Extensions, central      161
Extensions, right      159
Extensions, topologically locally trivial      166
Extensions, topologically trivial      165
Faddeev, L, D.      167 214
Fedorov, E. S.      6 106
Feigin, B. L.      127 185-138 190 199 204 206 208 211-214
Field restriction functor      87
Fomenko, A. T.      166 2 2
Frenkel, I.      206 211 212
Fuchs, L.      5
Fuchs. D. B.      117 121 127 150 179 182 184-190 192-195 204 206 209 211-213
Furstenberg, H.      24
Gabber. O.      209 212
Galiulin, R. V.      117
Garland H.      99 101 117 179 206 212 213
Gaua, C, F.      5 39
Gauge group      196
Gelfand, I. M.      179 184 186 187 189 190 193 195 204 206 213
Gelfand, S. I.      206
Gets Jar, E.      206
Godemeni, R.      0 34 117
Goncharovag L. V.      187 213
Gonciulear C.      117
Gorbatsevich, V. V.      118
Gotor M.      117
Gram, J. P.      69
Green, L.      116
Gromov, M. L.      97 118
Group, almost nilpotent      64
Group, cocompact      16
Group, compactly generated      19
Group, crystallographic      103
Group, Fuchsian      13
Group, having the property (T)      19
Group, of transformations, discrete      12
Group, of type (VFL)      111
Group, of typo (FL)      111
Group, predivisible      57
Group, semlsimple      116
Group, uniform      16
Group, unimodular      8
Guichardet, a.      102 118 136 209 211 213
Guillemin, V.      192 194 213
Haar measure, right-invariant      8
Hacfliger A.      152 193 213
Hall, P.      61
Hanrh — Chandra      34 35 75 117
Harder, G.      101 118
Hausdorff, F.      43
Hedund, G. A.      24
Helgason, S.      118
Hermite, C.      5
Hilbert. D. B Hirzebruch, F.      97 118
Hochschild homology      202
Hochschild — Serre spectral sequence      155 209
Hochschild, G.      150 151 154 155 165 177 130 183 191 196 200 202 209 213
Hochschild-Mostow spectral sequence      150
Holomorph      61
Homology groups      127
Homology of Lie algebra      137
Homology of the algebra      131
Homology of the Lie algebra, relative      141
Homology of the Lie tuperalgebra      172
Homology, semiinfinite      207
Hopf algebras      133
Hopf H.      16 133 134 141 174 202
Hopf surface      16
Iwahori subgroup      93
Iwahori, N.      118
Jacobi, C.      6 39
Jacobi. C.      159
Jacobian matrices generalized      199 201
Jimbo, M.      204 212
Jordan decomposition      33
Jordan, C.      33
Kac — Moody algebras      164
Kac — Moody algebras, affine      164
Kac — Moody algebras, group      167
Kac, V. G.      164 166 167 179 206 208 209 212 214
Kalinin, D. I.      190 204 213
Kargapoiov, I. M.      118
Kashiwara, M.      204 212
Kazhdan, D. A.      19 80 118
Killing, W.      164
Kirillov, A, A.      118
Klein, F.      5 52
Kontaevich, M. M.      167
Korkin, AN      5 69 70 72
Kostant, B.      178 211 214
Kronecker, L.      40
Lagrange, J. L.      5
Lattice, arithmetic      86
Lattice, covolume      8 25
Lattice, equivalent      105
Lattice, irreducible      11
Lattice, local rigidity      100
Lattice, subgroup      48
Lattice, uniform      8 11
Leibnitz, G.      141
Leites, D. A.      127 211 213 214
Lepowsky, J.      179 213
Levi — Mostow decomposition      110
Levi, E. E.      102 109
Li, J. — S.      118
Lie $d$-algebras      173
Lie $d$-algebras, cohomology      173
Lie $d$-algebras, graded      173
Lie $d$-algebras, homotopically equivalent      173
Lie $d$-algebras, standard cochain complex      173
Lie algebra, compact form      149
Lie algebra, completely solvable      65
Lie algebra, current      149
Lie algebra, current group      196
Lie algebra, exponential      65
Lie algebra, of infinite matrices      201
Lie algebra, of type (E)      65
Lie algebra, of type (I)      64
Lie algebra, of type (R)      65
Lie algebra, one-parameter deformation      168
Lie algebra, stable cohomology      185
Lie algebra, unitary      144
Lie algebras of vector fields, classical      189
Lie group, admissible      113
Lie group, arithmetic subgroup      31
Lie group, completely solvable      65
Lie group, current      149
Lie group, equivalent      114
Lie group, exponential      65
Lie group, of general type      102
Lie group, of type (E)      65
Lie group, of type (I)      64
Lie group, of type (R)      65
Lie group, splittable      53
Lie group, strong rigidity property      82
Lie superalgebras      167 171 173
Lie superalgebras, $d$-algebra      173
Lie superalgebras, $d$-algebra, graded      173
Lie superalgebras, differential      173
Lie superalgebras, superderivation      172
Lie superalgebras, vector field      172
Lie superalgebras, vector field, locally symmetric space      20
Lobachevsky, N. I.      83
Long, D. D.      117
Losik. M. V.      183 194 214
Lubotsky, A.      118
Lyubarsky, G.      118
MacDonald J.      127
Mahler, K      26 72 119
Mahler’s criterion      26
Makarov, V. S.      97 119
Mal’taev, A. I.      5 35 42 43 54 82 119
Mal’tsev splitting      53
Margulis arithmeticity theorem      96
Margulis, G. A.      6 24 80 83 87 95 97 118 119
Margulla superrigidity theorem      97
Markushevich, A.      1 119
Massey multiplication      169 188
Massey, W. B.      169 170 188
Matsumoto, H.      96 118 119
Matsushima, Y.      101 119
McDuff, D.      210 214
Merzylakov, Yu, I.      118 119
Millson, J. J.      96 118 119
Milnor conjecture      152
Milnor construction      128 134
Milnor, J.      128 134 152 153 214
Milovanov, M. V.      119 120
Minkowski, H.      5 25 33 120
Minkowski’s lemma      25
Miwa, T.      204 212
Module, coinduced      155
Module, induced      155
Moody, R. V.      164 166 167 179 206 208 209
Moore, C.      48 120
Moore, J. C.      135 144 212
Morozov, V. V.      120
Mostow G.      5 6 34 51 83 85 86 97 109 114 117 120 150 151 165 177 196 200 209
Mostow. M. A.      136 214
Mostow’s strong rgidity tneorem      82
Mostow’s structure theorem      51
Mumford, D.      116 120
Nakamura. I.      120
Neveau, C.      208
Nikulin V. V.      120
Nilradical      51
Novikov, S. P.      166 212
One-dimensional cocycle      28
Onishcluk, A. L.      122
Oppenheim’s conjecture      25
Otte, M.      116
Pell, J.      76
Perchik, J.      191 214
Piatetski — Shapiro, I. I.      87 97 118 121
Platonov, V. P.      92 120
Poincar$\acute{e}$ duality      146
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте