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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 groupsАвторы: 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: Рубрика: Математика /Серия: Сделано в холле Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 242Добавлена в каталог: 17.03.2011Операции: Положить на полку |
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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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