02723nam 2200517 450 991082760650332120170918215841.01-4704-0027-8(CKB)3360000000464319(EBL)3113512(SSID)ssj0000976612(PQKBManifestationID)11498531(PQKBTitleCode)TC0000976612(PQKBWorkID)11019173(PQKB)10846843(MiAaPQ)EBC3113512(RPAM)0000000711(PPN)195409639(EXLCZ)99336000000046431920750508d1968 uy| 0engur|n|---|||||txtccrUnitary representation theory for solvable lie groups /by Jonathan BrezinProvidence :American Mathematical Society,1968.1 online resource (132 p.)Memoirs of the American Mathematical Society ;number 79Description based upon print version of record.0-8218-1279-3 Bibliography: pages 120-122.""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""""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""""Bibliography""Memoirs of the American Mathematical Society ;no. 79.Lie groupsLie groups.Brezin Jonathan45317MiAaPQMiAaPQMiAaPQBOOK9910827606503321Unitary representation theory for solvable lie groups4072979UNINA