Sabinin L.V. — Mirror Geometry of Lie Algebras, Lie Groups, and Homogeneous Spaces :: Электронная библиотека попечительского совета мехмата МГУ

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Sabinin L.V. — Mirror Geometry of Lie Algebras, Lie Groups, and Homogeneous Spaces

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Название: Mirror Geometry of Lie Algebras, Lie Groups, and Homogeneous Spaces

Автор: Sabinin L.V.

Аннотация:

"This book describes a new and original formalism based on mirror symmetries of Lie groups, Lie algebras and Homogeneous spaces. Special systems of mirrors are used for classification purposes and as an instrument for studies of Homogeneous spaces. Tri-symmetric and arbitrary Riemannian Homogeneous spaces can also be researched in this way." The book should be of particular interest to researchers in Lie Groups, Lie Algebras, Differential Geometry and their applications but it should also prove useful for other postgraduate and advanced graduate students in mathematics.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 2004

Количество страниц: 312

Добавлена в каталог: 27.05.2008

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Предметный указатель

Characteristic Group      Def. 35 p. 143
Curvatute tensor      Def. 18 p. 9
Hyper-involutive decomposition      Def. 17 p. 8
Hyper-involutive decomposition, basis for a principal orthogonal involutive automorphism (of type O)      Def. 26 p. 61
Hyper-involutive decomposition, basis for a principal unitary involutive automorphism (of type      Def. 28 p. 78
Hyper-involutive decomposition, prime      Def. 25 p. 55
Hyper-involutive group      Def. 14 p. 8
Hyper-involutive sum      Def. 17 p. 8
Involutive algebra (invoalgebra)      p.4
Involutive algebra (invoalgebra), principal      Def. 1 p. 6
Involutive algebra (invoalgebra), special      Def. 6 p. 7
Involutive algebra (invoalgebra), special, orthogonal (of type O)      Def. 7 p. 7
Involutive algebra (invoalgebra), special, unitary (of type U)      Def. 7 p. 7
Involutive automorphism      p.4
Involutive automorphism of lower index k      Def. 9 p. 7
Involutive automorphism of rank r      Def. 9 p. 7
Involutive automorphism of upper index k      Def. 9 p. 7
Involutive automorphism, associated      Def. 27 p. 69
Involutive automorphism, central      Def. 3 p. 6
Involutive automorphism, exceptional principal      Def. 30 p. 102
Involutive automorphism, exceptional principal, of type e      Def. 30 p. 103
Involutive automorphism, exceptional principal, of type f      Def. 30 p. 103
Involutive automorphism, mono-unitary (of type       Def. 5 p. 7
Involutive automorphism, principal      Def. 1 p. 6
Involutive automorphism, principal, di-unitary (of type       Def. 4 p. 6
Involutive automorphism, principal, orthogonal (type O)      Def.2 p. 6
Involutive automorphism, principal, unitary (of type U)      Def. 2 p. 6
Involutive automorphism, special      Def. 7 p. 6
Involutive automorphism, special, orthogonal      Def. 7 p. 7
Involutive automorphism, special, unitary      Def. 7 p. 7
Involutive group      Def. 12 p. 8
Involutive pair      p.4 Def.

Involutive pair, decomposition      Def. 11 p. 8
Involutive pair, principal      Def. 1 p. 6
Involutive product      Def. 45 p. 145
Involutive product of homogeneous spaces      Def. 57 p. 163
Involutive subalgebra special unitary (of type U)      Def. 8 p. 7
Involutive sum      Def. 15 p. 8
Involutive sum, basis for a principal unitary involutive algebra      Def. 29 p. 100
Iso-involutive base      Def. 22 p. 16
Iso-involutive group      Def. 13 p. 8
Iso-involutive group of lower index 1      Def. 21 p.15
Iso-involutive group of type 1      Def. 19 p. 13
Iso-involutive group of type 2      Def. 23 p. 27
Iso-involutive group, derived      Def. 20 p. 13
Iso-involutive sum (iso-involutive decomposition)      Def. 16 p. 8
Mirror, geodesic      Def. 52 p. 146
Mirror, principal      Def. 54 p. 147
Mirror, special      Def. 53 p. 147
Subsymmetry, geodesic      Def. 52 p. 146
Subsymmetry, principal      Def. 54 p. 147
Subsymmetry, special      Def. 53 p. 147
Symmetric space, essentially unitary special      Def. 55 p. 147
Symmetric space, essentially unitary special, strictly special      Def. 56 p. 147
Symmetric space, principal      Def. 36 p. 143
Symmetric space, principal, exceptional      Def. 51 p. 146
Symmetric space, principal, orthogonal      Def. 37 p. 143
Symmetric space, principal, unitary      Def. 37 p. 143
Symmetric space, special      Def. 41 p. 144
Symmetric space, special, orthogonal      Def. 42 p. 144
Symmetric space, special, unitary      Def. 42 p. 144
Tri-symmetric space      Def. 58 p. 164
Tri-symmetric space, non-trivial      Def. 58 p. 164
Tri-symmetric space, semi-trivial      Def. 58 p. 164
Tri-symmetric space, trivial      Def. 58 p. 164

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