Representations of Solvable Lie Groups: Basic Theory and Examples

By Didier Arnal and Bradley Currey III

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.

• Format: Hardcover
• Language: English
• ISBN: 1108428096
• ISBN13: 9781108428095
• Release Date: May 2020
• Publisher: Cambridge University Press
• Length: 478 Pages
• Weight: 1.60 lbs.
• Dimensions: 1.1" x 6.5" x 9.1"