Representations of solvable Lie groups : basic theory and examples /

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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...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Arnal, Didier, Currey, Bradley, III
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Cambridge : Cambridge University Press, 2020.
Zusammenfassung:
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.
Umfang:
1 online resource (xiii, 448 pages) : digital, PDF file(s).
Anmerkungen:
Title from publisher's bibliographic system (viewed on 22 Apr 2020).
ISBN:
9781108552288 (ebook)
DOI:
10.1017/9781108552288
Schlagworte:
Representations of Lie groups.
Solvable groups.
Bezugswerke:
Links: