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Autore: |
Cahen M (Michel), <1935->
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Titolo: |
Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
©1980 | |
Descrizione fisica: | 1 online resource (119 p.) |
Disciplina: | 516.3/62 |
Soggetto topico: | Symmetric spaces |
Hermitian structures | |
Holonomy groups | |
Representations of algebras | |
Lie algebras | |
Persona (resp. second.): | ParkerM <1939-> (Monique) |
Note generali: | "Volume 24, number 229 (end of volume)." |
Nota di bibliografia: | Bibliography: pages 107-108. |
Nota di contenuto: | ""Table of Contents""; ""Introduction""; ""Chapter I. Pseudo-riemannian and pseudo-hermitian symmetric spaces""; ""Â 1. Pseudo-riemannian symmetric spaces""; ""Â 2. Pseudo-riemannian symmetric triples""; ""Â 3. Covering of symmetric spaces""; ""Â 4. Holonomy and the de Rham decomposition""; ""Â 5. Levi decomposition and reducibility""; ""Â 6. Pseudo-hermitian symmetric spaces""; ""Â 7. Levi factors""; ""Chapter II. Weakly irreducible spaces on which the action of the holonomy group is neither semi simple nor nilpotent""; ""Â 1. Decomposition of G into a direct sum of S-modules"" |
""Â 2. Geometrical characterization of the subspaces X, P[sub(R)] and P[sub(S)]""""Â 3. Structure theorem for indecomposable PHSQ""; ""Â 4. Decomposition of V into minimal S-Ï?-stable subspaces""; ""Chapter III. Structure of the spaces admitting a maximal parallel foliation with zero curvature""; ""Â 1. Algebras with minimal multiplication""; ""Â 2. Construction of PRST and PHSQ with minimal multiplication""; ""Â 3. Classification of PRST with minimal multiplication""; ""Â 4. Symmetric spaces with parallel distribution""; ""Chapter IV. Structure of the S-module Y"" | |
""Â 1. Real and complex representations""""Â 2. Orthogonal representations""; ""Â 3. Representations compatible with Ï?""; ""Â 4. Non singular S-irreducible subspaces V[sub(Ï?)]""; ""Â 5. Non singular S-reducible subspaces V[sub(Ï?)]""; ""Â 6. Totally isotropic subspaces V[sub(Ï?)] in duality""; ""Â 7. Ricci tensor and complex structure""; ""Chapter V. Construction of the admissible S-modules V[sub(Ï?)]""; ""Â 1. Reformulation of the conditions of chapter IV""; ""Â 2. Some examples""; ""Â 3. Classification of the S-modules with dim S = 3"" | |
""Chapter VI. Some examples of non minimal multiplication""""Â 1. Indecomposable PRST with Levi factor Sl(2,R)/R""; ""Â 2. Indecomposable PHSQ with Levi factor Sl(2,R)/So(2) or So(3)/'So{2)""; ""Chapter VII. Classification of the indecomposable PRST of dimension lower than 8""; ""Â 1. Preliminary lemmas""; ""Â 2. dim P = 4""; ""Â 3. dim P = 5""; ""Â 4. dim P = 6""; ""Â 5. dim P = 7""; ""Bibliography"" | |
Titolo autorizzato: | Pseudo-riemannian symmetric spaces ![]() |
ISBN: | 1-4704-0633-0 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910817226103321 |
Lo trovi qui: | Univ. Federico II |
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