LEADER 02723nam 2200517 450 001 9910827606503321 005 20170918215841.0 010 $a1-4704-0027-8 035 $a(CKB)3360000000464319 035 $a(EBL)3113512 035 $a(SSID)ssj0000976612 035 $a(PQKBManifestationID)11498531 035 $a(PQKBTitleCode)TC0000976612 035 $a(PQKBWorkID)11019173 035 $a(PQKB)10846843 035 $a(MiAaPQ)EBC3113512 035 $a(RPAM)0000000711 035 $a(PPN)195409639 035 $a(EXLCZ)993360000000464319 100 $a20750508d1968 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aUnitary representation theory for solvable lie groups /$fby Jonathan Brezin 210 1$aProvidence :$cAmerican Mathematical Society,$d1968. 215 $a1 online resource (132 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 79 300 $aDescription based upon print version of record. 311 $a0-8218-1279-3 320 $aBibliography: pages 120-122. 327 $a""Contents""; ""Preface""; ""Chapter I. Introduction""; ""Chapter II. Algebraic Preliminaries""; ""1. Notation""; ""2. Almost algebraic Lie algebras""; ""3. The ad-algebraic hull""; ""Chapter III. The Coadjoint Representation""; ""0. Introduction""; ""1. Two examples""; ""2. Two basic operations""; ""3. When can operation II be applied?""; ""4. Main results""; ""5. Examples and complements""; ""6. Ad* versus ad*""; ""Chapter IV. Representation-Theoretic Preliminaries""; ""1. Conventions""; ""2. On action""; ""3. The Kirillov correspondence""; ""4. Miscellany""; ""5. Notation"" 327 $a""Chapter V. The Mackey Obstruction""""1. Introduction""; ""2. A special case""; ""3. The general case""; ""4. The little-group theorem""; ""Chapter VI. A Characterization of Type I-ness""; ""1. Introduction""; ""2. Isotropic type I-ness""; ""3. The non-transitive case""; ""4. Examples""; ""Chapter VII. Semi-Simple Regularity""; ""1. Introduction""; ""2. Reformulation of the problem""; ""3. The proof of Theorem 1'""; ""4. An example""; ""Chapter VIII. Computing the Dual of S""; ""1. Introduction""; ""2. Statement of the main theorem""; ""3. Proof of Theorem 4""; ""4. Final remarks"" 327 $a""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 79. 606 $aLie groups 615 0$aLie groups. 700 $aBrezin$b Jonathan$045317 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827606503321 996 $aUnitary representation theory for solvable lie groups$94072979 997 $aUNINA