Representations of Solvable Lie Groups (eBook)

Basic Theory and Examples

Didier Arnal, Bradley Currey (Autoren)

eBook Download: PDF

2020
Cambridge University Press (Verlag)
978-1-108-65193-6 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 16.4.2020
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-108-65193-3 / 1108651933
• ISBN-13: 978-1-108-65193-6 / 9781108651936