LEADER 04109nam 2200661 450 001 9910817226103321 005 20170821171534.0 010 $a1-4704-0633-0 035 $a(CKB)3360000000464413 035 $a(EBL)3113665 035 $a(SSID)ssj0000973832 035 $a(PQKBManifestationID)11612099 035 $a(PQKBTitleCode)TC0000973832 035 $a(PQKBWorkID)10989006 035 $a(PQKB)11450925 035 $a(MiAaPQ)EBC3113665 035 $a(RPAM)2282074 035 $a(PPN)195411129 035 $a(EXLCZ)993360000000464413 100 $a19800102h19801980 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPseudo-riemannian symmetric spaces /$fM. Cahen, M. Parker 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1980] 210 4$dİ1980 215 $a1 online resource (119 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 229 300 $a"Volume 24, number 229 (end of volume)." 311 $a0-8218-2229-2 320 $aBibliography: pages 107-108. 327 $a""Table of Contents""; ""Introduction""; ""Chapter I. Pseudo-riemannian and pseudo-hermitian symmetric spaces""; ""A? 1. Pseudo-riemannian symmetric spaces""; ""A? 2. Pseudo-riemannian symmetric triples""; ""A? 3. Covering of symmetric spaces""; ""A? 4. Holonomy and the de Rham decomposition""; ""A? 5. Levi decomposition and reducibility""; ""A? 6. Pseudo-hermitian symmetric spaces""; ""A? 7. Levi factors""; ""Chapter II. Weakly irreducible spaces on which the action of the holonomy group is neither semi simple nor nilpotent""; ""A? 1. Decomposition of G into a direct sum of S-modules"" 327 $a""A? 2. Geometrical characterization of the subspaces X, P[sub(R)] and P[sub(S)]""""A? 3. Structure theorem for indecomposable PHSQ""; ""A? 4. Decomposition of V into minimal S-I??-stable subspaces""; ""Chapter III. Structure of the spaces admitting a maximal parallel foliation with zero curvature""; ""A? 1. Algebras with minimal multiplication""; ""A? 2. Construction of PRST and PHSQ with minimal multiplication""; ""A? 3. Classification of PRST with minimal multiplication""; ""A? 4. Symmetric spaces with parallel distribution""; ""Chapter IV. Structure of the S-module Y"" 327 $a""A? 1. Real and complex representations""""A? 2. Orthogonal representations""; ""A? 3. Representations compatible with I??""; ""A? 4. Non singular S-irreducible subspaces V[sub(I??)]""; ""A? 5. Non singular S-reducible subspaces V[sub(I??)]""; ""A? 6. Totally isotropic subspaces V[sub(I??)] in duality""; ""A? 7. Ricci tensor and complex structure""; ""Chapter V. Construction of the admissible S-modules V[sub(I??)]""; ""A? 1. Reformulation of the conditions of chapter IV""; ""A? 2. Some examples""; ""A? 3. Classification of the S-modules with dim S = 3"" 327 $a""Chapter VI. Some examples of non minimal multiplication""""A? 1. Indecomposable PRST with Levi factor Sl(2,R)/R""; ""A? 2. Indecomposable PHSQ with Levi factor Sl(2,R)/So(2) or So(3)/'So{2)""; ""Chapter VII. Classification of the indecomposable PRST of dimension lower than 8""; ""A? 1. Preliminary lemmas""; ""A? 2. dim P = 4""; ""A? 3. dim P = 5""; ""A? 4. dim P = 6""; ""A? 5. dim P = 7""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 229. 606 $aSymmetric spaces 606 $aHermitian structures 606 $aHolonomy groups 606 $aRepresentations of algebras 606 $aLie algebras 615 0$aSymmetric spaces. 615 0$aHermitian structures. 615 0$aHolonomy groups. 615 0$aRepresentations of algebras. 615 0$aLie algebras. 676 $a516.3/62 700 $aCahen$b M$g(Michel),$f1935-$01639128 702 $aParker$b M$g(Monique),$f1939- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817226103321 996 $aPseudo-riemannian symmetric spaces$93981906 997 $aUNINA