| Description |
1 online resource |
| Series |
New mathematical monographs |
| Contents |
Solvable Lie algebras and groups -- Stratification of an orbit space -- Unitary representations -- Coadjoint orbits and polarizations -- Irreducible unitary representations -- Plancherel formula and related topics |
| Summary |
"The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Description based on online resource; title from digital title page (viewed on April 29, 2020) |
| Subject |
Representations of Lie groups.
|
|
Solvable groups.
|
|
Grupos de Lie
|
|
Representations of Lie groups
|
|
Solvable groups
|
| Form |
Electronic book
|
| Author |
Currey, Bradley, III 1955- author.
|
| LC no. |
2019038660 |
| ISBN |
9781108552288 |
|
1108552285 |
|
