04112nam 2200661 450 991048083540332120170821171534.01-4704-0633-0(CKB)3360000000464413(EBL)3113665(SSID)ssj0000973832(PQKBManifestationID)11612099(PQKBTitleCode)TC0000973832(PQKBWorkID)10989006(PQKB)11450925(MiAaPQ)EBC3113665(PPN)195411129(EXLCZ)99336000000046441319800102h19801980 uy| 0engur|n|---|||||txtccrPseudo-riemannian symmetric spaces /M. Cahen, M. ParkerProvidence, Rhode Island :American Mathematical Society,[1980]©19801 online resource (119 p.)Memoirs of the American Mathematical Society ;number 229"Volume 24, number 229 (end of volume)."0-8218-2229-2 Bibliography: pages 107-108.""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""Memoirs of the American Mathematical Society ;no. 229.Symmetric spacesHermitian structuresHolonomy groupsRepresentations of algebrasLie algebrasElectronic books.Symmetric spaces.Hermitian structures.Holonomy groups.Representations of algebras.Lie algebras.516.3/62Cahen M(Michel),1935-961576Parker M(Monique),1939-MiAaPQMiAaPQMiAaPQBOOK9910480835403321Pseudo-riemannian symmetric spaces2180095UNINA01232nam a2200289 i 450099100182251970753620020502205128.0010418s1989 ||| ||| | ita 8885042147b10916039-39ule_instLE02377806ExLDip.to Studi Storiciita025.1714Archivio segreto vaticano174549Sussidi per la consultazione dell'Archivio vaticano :lo schedario Garampi, i registri vaticani, i registri lateranensi, le Rationes Camerae, l'archivio concistorialeNuova ediz. rived. e ampliata /a cura di Germana GualdoCittà del Vaticano :Archivio Vaticano,1989XXVII p., 447 p., [7] c. di tav. ;25 cm.Collectanea archivi vaticani ;17Seguono appendiciArchivi vaticaniRegistriGuida.b1091603923-02-1728-06-02991001822519707536LE023 025.17 GUA 1 212023000050026le023-E0.00-l- 00000.i1102057x28-06-02Sussidi per la consultazione dell'Archivio vaticano268102UNISALENTOle02301-01-01ma -engxx 01