Now in paperback, this graduatelevel textbook is an excellent introduction to the representation theory of semisimple 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 HarishChandra 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 HarishChandra theory of Eisenstein integrals. The final sections consider the irreducible characters of semisimple 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.

Authors: Varadarajan V.S.  Pages: 325 Year: 1989 
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