Serre J.-P. — Lie Algebras and Lie Groups :: Электронная библиотека попечительского совета мехмата МГУ

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Serre J.-P. — Lie Algebras and Lie Groups

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Название: Lie Algebras and Lie Groups

Автор: Serre J.-P.

Аннотация:

Lectures Given at Harvard University, 1964

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second

Год издания: 1992

Количество страниц: 168

Добавлена в каталог: 19.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Absolute value (of a field)      64
Adjoint representation (of a Lie group)      135
Ado's Theorem      153
Algebraic matrix group      3
Analytic function      69 70 78
Analytic group      102
Analytic manifold      77
Atlas      76
Ball      77
Bergman's transfinite p-adic line      101
Bialgebra      144
Campbell — Hausdorff formula      26
Canonical decomposition (of an endomorphism)      41
Cartan's criterion      42
Cartan's theorems (on closed subgroups of Lie groups)      155
Cauchy's method of majorants      159
Chart      76
Commutative (Lie algebra)      2
Commutator      6
Compatible (atlases, charts)      76
Complex analytic (manifold)      77
Convergent (series)      67
Cotangent space      81
Derivation      2
Derivative      72
Derived series (of a Lie algebra)      35
Descending central series (of a group)      9
Descending central series (of a Lie algebra)      32
Diagonal map      16
Differential (of a function)      82
Dynkin’s formula      29
Embedding (of manifolds)      85
Engel’s theorem      33
Etale (morphism)      83
Fibre product      91
Filtration (on a group)      7
Flag      33
Formal group law      111
Free (algebra)      18
Free (associative algebra)      20
Free (Lie algebra)      19
Free (magma)      18
Fundamental root      56
Germ (of an analytic function)      80
Godement’s theorem      92
Group chunk      105
H.Weyl’s semisimplicity theorem      46
Highest weight      59
Homogeneous space (of a Lie group)      108
Immersion (of manifolds)      85
Induced (analytic group)      104
Invariant element (of a module over a Lie algebra)      32
Inverse function theorem      73 83
Inverse image manifold structure      89
Jacobi’s identity      2
Killing form      32
Kolchin’s theorem      35
Lazard’s theorem      114
Leibniz formula      142

Levi’s theorem      48
Lie algebra      2
Lie algebra of a formal group      129
Lie algebra of a group chunk      129
Lie group      102
Lie theorem (on solvable Lie algebras)      36
Lie’s third theorem      152
Linear representation (of a Lie algebra)      31
Local expansion (of an analytic function)      69
Local homomorphism (of group chunks)      105
Magma      18
Module (over a Lie algebra)      31
Morphism (of analytic manifolds)      78
Nilpotent (Lie algebra)      33
Nilpotent element (of a semisimple Lie algebra)      52
Non-archimedian (absolute value)      64
Normalizer (of a Lie subalgebra)      34
Ostrowski’s theorem      64
P-adic analytic manifold      77
P-adic valuation (of Q)      65
P.Hall family      22
Poincare — Birkhoff — Witt theorem      14
Point distribution (on a manifold)      141
Positive root      56
Primitive element (of a module)      58
Primitive element (of a universal algebra)      17
Principal bundle      111
Product (of manifolds)      79
Quotient manifold      92
Radical (of a Lie algebra)      44
Real analytic (manifold)      77
Regular equivalence relation (on a manifold)      92
Ring (of a valuation)      65
Root      56
Semidirect product (of Lie algebras)      4
Semisimple (Lie algebra)      44
Semisimple (module)      45
Semisimple element (of a semisimple Lie algebra)      52
Semisimple endomorphism (of a vector space)      40
Simple (Lie algebra)      44
Simple (module)      45
Solvable (group)      38
Solvable (Lie algebra)      36
Standard (analytic group)      116
Strictly superdiagonal (matrix)      33
Subimmersion (of manifolds)      86
Submanifold      89
Submersion (of manifolds)      85
Sum (of a family of manifolds)      79
Symmetric algebra (of a module)      12
Tangent space      81
Transversal (morphisms)      91
Transversal (submanifolds)      91
Trivial action (of a Lie algebra)      31
Ultrametric (absolute value)      64
Unipotent automorphism (of a vector space)      35
Unitarian trick      46
Universal algebra (of a Lie algebra)      11
Valuation      65
Weight      57

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