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Gorbatsevich V.V., Vinberg E.B., Onishchik A.L. — Foundations of Lie theory and Lie transformation groups
Gorbatsevich V.V., Vinberg E.B., Onishchik A.L. — Foundations of Lie theory and Lie transformation groups



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Название: Foundations of Lie theory and Lie transformation groups

Авторы: Gorbatsevich V.V., Vinberg E.B., Onishchik A.L.

Аннотация:

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter


Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 242

Добавлена в каталог: 17.03.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Poincare series      126
Poincare, H.      59 61
Pontryagin, L.S.      88 169
Postnikov, N.N.      29 193
Primitive element of a bialgebra      66
Product direct of Lie groups      7
Product fibred of Lie groups      117
Product semi-direct of Lie groups      20
Projection map of a fibre bundle      115
Pseudoorthogonal matrix      23
Pseudounitary matrix      23
Quotient group Lie      17
Quotient group Lie, map      15
Radical of a group      199
Radical of a Lie algebra      57
Radical of a Lie group      57
Rank of a compact Lie group      127
Rank of a manifold      129
Reduction of action      102
Reduction of structure group      116
Representation adjoint of a Lie algebra      36
Representation adjoint of a Lie group      35
Representation, induced      131
Restriction of a local Lie group      11
Restriction of an action      104
Samelson, H.      137 149 179
Section of a bundle      117
Selberg, A.      190
Serre, J.-P.      200
Similar group actions      102
Similitude of group actions      102
Similitude of local actions of Lie groups      104
Skew-field enveloping      64
Skew-field, Lie      64
Slice      150
Solvmanifold      160
Solvmanifold, complex      171
Space Frechet      84
Space Frechet, tame      85
Space, homogeneous      103
Space, homogeneous, elementary      208
Space, homogeneous, reductive      132
Space, homogeneous, semi-simple      204
Space, homogeneous, solvable      204
Space, Lobachevski      134
Stabilizer of a point      105
Steenrod, N.      115
Stein, K.      159
Stiefel, E.      120 166 167
Stolz, S.      186 194
Subalgebra elliptic      114
Subalgebra of finite order      114
Subalgebra primitive      124
Subalgebra reductive      160
Subalgebra stabilizer      212
Subalgebra triangular      173
Subalgebra uniform      175
Subgroup -in a Lie group      177
Subgroup Ad-algebraic      172
Subgroup arithmetical      162
Subgroup cocompact      172
Subgroup Lie      7
Subgroup Lie, virtual      38
Subgroup of maximal exponent      127
Subgroup primitive      124
Subgroup stabilizer (isotropy)      105
Subgroup triangular      173
Subgroup uniform      172
Sum of Lie algebras      51
Sum semi-direct      51
System dynamical with continuous time      102
System of generators free      70
t-subalgebra      173
T-subgroup      173
Tangent algebra of a formal group      79
Tangent algebra of a Lie group      30 76 86
Tangent algebra of a local analytic loop      90
Taylor, B.      68
Theorem Cartan’s      47
Theorem Mostow’s Structure      167
Tits, J.      174 199
Topological G-module      135
Torus      7
Total space of a fibre bundle      115
Tower of principal fibrations      164
Transformation inifinitesimal      109
Type orbit      106
Type orbit principal      153
Unification      138
Unit of a loop      88
Universal covering      26
Valuation ring      75
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.H.-C.      169
Weyl, H.      65 127 156
Whitney, H.      166 167
Witt, E.      61
Yang, C.-T.      150
Zippin, L.      88
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