Unitary representation theory for solvable lie groups / by Jonathan Brezin.

Format:

Book

Author/Creator:

Brezin, Jonathan, author.

Series:

Memoirs of the American Mathematical Society ; no. 79.

Memoirs of the American Mathematical Society ; number 79

Language:

English

Subjects (All):

Lie groups.

Physical Description:

1 online resource (132 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 1968.

Language Note:

English

Contents:

""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""

Notes:

Description based upon print version of record.

Bibliography: pages 120-122.

Description based on print version record.

ISBN:

1-4704-0027-8