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Representations of Nilpotent Lie Groups and their Applications : Volume 1, Part 1, Basic Theory and Examples - Lawrence Corwin

Representations of Nilpotent Lie Groups and their Applications

Volume 1, Part 1, Basic Theory and Examples

Paperback

Published: 24th August 2004
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There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.

Preface
Elementary theory of nilpotent Lie groups and Lie algebras
Kirillov theory
Parametrization of coadjoint orbits
Plancherel formula and related topics
Discrete cocompact subgroups
Appendix
Bibliography
Symbol index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604956
ISBN-10: 0521604958
Series: Cambridge Studies in Advanced Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 280
Published: 24th August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 1.6
Weight (kg): 0.42