Introduction to harmonic analysis on semisimple lie groups
Material type: BookSeries: Cambridge studies in advanced mathematics ; 16Publication details: Cambridge: Cambridge University Press, 1999.Edition: 1stDescription: x, 316 p. : ill. ; pb. 23 cmISBN:- 9780521663625
- 515.2433 VAR
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
Books | IIT Gandhinagar General Stacks | General | 515.2433 VAR (Browse shelf(Opens below)) | 1 | Available | 030052 |
Originally published: 1989. Includes bibliographical references (p. [310]-312) and index
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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