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-dimens…
Read More ↓Title Statements
- 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
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource (1 recurso electrónico (xiii, 448 páginas)).
Edition Identifiers
- ISBN:9781108552288, 1108552285
- oclc:on1286778297
- Dewey Decimal:512/.482
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