Representation Theory of Solvable Lie Groups and Related Topics

The book discusses the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups, using the orbit method created by Kirillov. It offers solutions to open questions and provides a platform for further research in this area, with a readership that extends to graduate students, researchers, and beginners.

Format: Paperback / softback
Length: 610 pages
Publication date: 09 October 2022
Publisher: Springer Nature Switzerland AG

The purpose of this book is to delve into the latest advancements in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method developed by Kirillov stands as the most powerful tool for constructing the ground frame of these theories. While numerous problems have been studied in the nilpotent case, there are challenges when extending these theories to encompass exponentially solvable settings. This book presents the most recent solutions to a multitude of open questions that have emerged over the past decades, showcases the latest related results, and provides a captivating platform for further progress in this research area.

Uniquely, this book appeals to a wide readership, including graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces. By exploring these developments, the book aims to shed light on the intricate relationships between unitary representations and harmonic analysis, offering valuable insights and opportunities for future research.

Weight: 949g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030820466
Edition number: 1st ed. 2021