Representations of solvable Lie groups: basic theory and examples
"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-dimen…
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- Full title :Representations of solvable Lie groups : basic theory and examples / Didier Arnal, Bradley Currey.
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"--
Read More ↓Edition Statements
- Publication Date:©2020
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge, United Kingdom
- Language:eng
- Publication Date:©2020
The Physical Object
- Description:xiii, 448 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:9781108428095, 1108428096
- oclc:on1117537367
- LC Classification:QA387
- Dewey Decimal:512/.482
Table of 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.
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