Representations of Real Reductive Lie Groups

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9780817630379: Representations of Real Reductive Lie Groups

A large and powerful algebraic theory for the study of infinite dimensional representations of real reductive Lie groups has been developed. It already plays an important role even in purely analytic problems. This book describes the foundations of that theory, including some material not previously available in the literature.

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A large and powerful algebraic theory for the study of infinite dimensional representations of real reductive Lie groups has been developed. It already plays an important role even in purely analytic problems. This book describes the foundations of that theory, including some material not previously available in the literature. There are three major topics. The first is the Langlands construction and classification of the irreducible representations. This is done using a generalization of parabolic induction due to Zuckerman. The second topic is the analysis of reducibility in certain standard families of representations. Finally, conjectural character formulas for arbitrary irreducible representations are formulated. An interpretation of the formulas in term of Goresky-MacPherson cohomology, generalizing the Kazhdan-Lusztig conjecture for Verma modules is given.

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David A. Vogan
Published by Birkhauser (1981)
ISBN 10: 0817630376 ISBN 13: 9780817630379
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Book Description Birkhauser, 1981. Book Condition: Very Good. *Price HAS BEEN reduced this weekend for our ABEBOOKS November SALE* 754 pp., hardcover, very good. Photos available upon request. Bookseller Inventory # ZB1072474

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