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. (ed.) — Lie Groups and Lie Algebras (volume 1)
Onishchik A.L. (ed.) — Lie Groups and Lie Algebras (volume 1)



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Lie Groups and Lie Algebras (volume 1)

Автор: Onishchik A.L. (ed.)

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: 235

Добавлена в каталог: 09.06.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Radical of a group      100
Radical of a Lie algebra      67
Radical of a Lie group      67
Rank of a compact Lie group      127
Rank of a manifold      120
Reduction of action      102
Reduction of structure group      116
Repr sentation adjoint of a Lie algebra      36
Repr sentation adjoint of a Lie group      36
Repr sentation adjoint, induced      131
Restriction of a local Lie group      11
Restriction of an action      104
Samelson, H      137 146 179
Section of a bundle      117
Selberg, A.      190
Serrc, J. — P.      200
Similar group actions      102
Similitude of group actions      102
Similitude of local actions of Lie group      104
Skew-field enveloping      64
Skew-field enveloping, Lie      64
Slice      160
Solvmanlfold      160
Solvmanlfold, complex      171
Space Frechet      84
Space Frechet, elementary      208
Space Frechet, homogeneous      103
Space Frechet, Lobachevski      134
Space Frechet, reductive      132
Space Frechet, semi-simple      204
Space Frechet, solvable      204
Space Frechet, tame      86
Stabilizer of a point      106
Steenrod, N.      115
Stein, K.      159
Stiefel, E.      120 166 167
Stole, S.      186 194
Subalgebra elliptic      114
Subalgebra elliptic of finite order      114
Subalgebra elliptic, primitive      124
Subalgebra elliptic, reductive      160
Subalgebra elliptic, stabiliser      212
Subalgebra elliptic, triangular      173
Subalgebra elliptic, uniform      176
Subgroup Ad-algebraic      172
Subgroup of maximal exponent      127
Subgroup, arithmetical      162
Subgroup, cocompact      172
Subgroup, cocompact in a Lie group      177
Subgroup, Lie      7
Subgroup, Lie virtual      38
Subgroup, primitive      124
Subgroup, stabilizer (Isotropy)      106
Subgroup, triangular      173
Subgroup, uniform      172
Sum semi-oirect      61
Sum semi-oirect of Lie algebras      61
System dynamical of generators free      70
System dynamical with continuous time      102
Tangent algebra of a formal group      79
Tangent algebra of a Lie group      301 76 86
Tangent algebra of a local analytic loop      80
Tits, J.      174 199
Topological G- module      136
Torus      7
Total space of a fibre bundle      116
Tower of principal Abrations      164
Trans format ion infinitesimal      109
Type orbit      106
Type orbit, principal      163
Unification      138
Unit of a loop      88
Unit of a loop, universal covering      26
Valuation ring      76
Vector field, complete      109
Vector field, f-projectable      110
Vector field, fundamental      112
Vector field, invariant      110
Vector field, right-invariant      31 113
Velocity field of a path in a Lie group      37
Velocity field of an action      34
Wang, E. F. — C      160
Weyl, II.      65 127 156
Whitney, H.      160 167
Witt, E.      61
Yang. C. — T.      150
Zippln, L.      88
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте