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Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480835403321 |
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788894103321 |
|
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker
| Pseudo-riemannian symmetric spaces / / M. Cahen, M. Parker |
| Autore | Cahen M (Michel), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (119 p.) |
| Disciplina | 516.3/62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Symmetric spaces
Hermitian structures Holonomy groups Representations of algebras Lie algebras |
| ISBN | 1-4704-0633-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910817226103321 |
|
Cahen M (Michel), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||