Introduction to harmonic analysis on semisimple lie groups
Varadarajan, V.S.
Introduction to harmonic analysis on semisimple lie groups - 1st - Cambridge: Cambridge University Press, 1999. - x, 316 p. : ill. ; pb. 23 cm. - Cambridge studies in advanced mathematics ; 16 .
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.
9780521663625
Semisimple Lie groups
Harmonic analysis
Representations of Lie groups
Representations of groups
Mathematics
515.2433 / VAR
Introduction to harmonic analysis on semisimple lie groups - 1st - Cambridge: Cambridge University Press, 1999. - x, 316 p. : ill. ; pb. 23 cm. - Cambridge studies in advanced mathematics ; 16 .
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.
9780521663625
Semisimple Lie groups
Harmonic analysis
Representations of Lie groups
Representations of groups
Mathematics
515.2433 / VAR
