Representations of Solvable Lie Groups: Basic Theory and Examples (Hardcover) (ISBN-13: 9781108428095)

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.

Author: Didier Arnal, Bradley Currey
ISBN-10: 1108428096
ISBN-13: 9781108428095
Publisher: Cambridge University Press
Language: English
Published: 04/16/2020
Pages: 478
Format: Hardcover
Weight: 1.60lbs
Size: 9.10h x 6.50w x 1.10d

Review Citation(s):
Choice 03/01/2021