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Look Inside Representations of Nilpotent Lie Groups and their Applications

Representations of Nilpotent Lie Groups and their Applications

Volume 1

Part 1. Basic Theory and Examples

$67.95 (C)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: June 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521604956

$ 67.95 (C)
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About the Authors
  • 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.

    • First book on this topic for over 20 years
    • A modern account suitable for current research
    • Includes a self-contained exposition of major results
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    Product details

    • Date Published: June 2004
    • format: Paperback
    • isbn: 9780521604956
    • length: 280 pages
    • dimensions: 229 x 152 x 16 mm
    • weight: 0.42kg
    • availability: Available
  • Table of Contents

    Preface
    1. Elementary theory of nilpotent Lie groups and Lie algebras
    2. Kirillov theory
    3. Parametrization of coadjoint orbits
    4. Plancherel formula and related topics
    5. Discrete cocompact subgroups
    Appendix
    Bibliography
    Symbol index
    Subject index.

  • Authors

    Laurence Corwin

    Frederick P. Greenleaf

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