An introduction to harmonic analysis on semisimple Lie groups
V. S. Varadarajan
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.
Catégories:
Année:
1989
Editeur::
Cambridge University Press
Langue:
english
Pages:
325
ISBN 10:
0521341566
ISBN 13:
9780521341561
Collection:
Cambridge studies in advanced mathematics 16
Fichier:
DJVU, 6.40 MB
IPFS:
,
english, 1989