V. S. Varadarajan

An Introduction to Harmonic Analysis on Semisimple Lie Groups

• Broschiertes Buch

Produktbeschreibung

Now in paperback, this graduate-level textbook is an excellent introduction to the representation theory of semi-simple Lie groups. Professor Varadarajan emphasizes the development of central themes in the context of special examples. He begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2, R) and SL(2, C). Subsequent chapters introduce the Plancherel formula and Schwartz spaces, and show how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections consider the irreducible characters of semi-simple Lie groups, and include explicit calculations of SL(2, R). The book concludes with appendices sketching some basic topics and with a comprehensive guide to further reading. This superb volume is highly suitable for students in algebra and analysis, and for mathematicians requiring a readable account of the topic.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 328
• Erscheinungstermin: 30. Juni 2010
• Englisch
• Abmessung: 229mm x 152mm x 20mm
• Gewicht: 534g
• ISBN-13: 9780521663625
• ISBN-10: 0521663628
• Artikelnr.: 21302458

Inhaltsangabe

Preface
1. Introduction
2. Compact groups: the work of Weyl
3. Unitary representations of locally compact groups
4. Parabolic induction, principal series representations, and their characters
5. Representations of the Lie algebra
6. The Plancherel formula: character form
7. Invariant eigendistributions
8. Harmonic analysis of the Schwartz space
Appendix 1. Functional analysis
Appendix 2. Topological groups
Appendix 3. Lie groups and Lie algebras
References
Index.