Representations of nilpotent Lie groups and their applications
著者
書誌事項
Representations of nilpotent Lie groups and their applications
(Cambridge studies in advanced mathematics, 18)
Cambridge University Press, 1989
- v. 1
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注記
Bibliography: p.[254]-259
Includes indexes
収録内容
- pt. 1. Basic theory and examples
内容説明・目次
内容説明
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.
目次
- 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.
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