✦ LIBER ✦

An introduction to harmonic analysis on semisimple Lie groups

✍ Scribed by V. S. Varadarajan

Book ID: 127419902
Publisher: Cambridge University Press
Year: 1989
Tongue: English
Weight: 6 MB
Series: Cambridge studies in advanced mathematics 16
Category: Library
City: Cambridge; New York
ISBN-13: 9780521341561

No coin nor oath required. For personal study only.

✦ Synopsis

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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