Representations of Real Reductive Lie Groups (Progress in Mathematics) - Hardcover

Vogan, David A.

 
9783764330378: Representations of Real Reductive Lie Groups (Progress in Mathematics)

Synopsis

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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From the Back Cover

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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9780817630379: Representations of Real Reductive Lie Groups

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ISBN 10:  0817630376 ISBN 13:  9780817630379
Hardcover