Unitary Representations of Reductive Lie Groups. (AM-118) (Annals of Mathematics Studies) - David A. Vogan (1987)
ISBN 0691084823
Subject Lie groups; Representations of groups
Publisher Princeton University Press
Publication Date 10/1/1987
Format Paperback (229 x 152 mm)
Language e

This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs.

The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Personal Details
Collection Status In Collection
Index 769
Read It Yes
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Product Details
LoC Classification QA387 .V64 1987 Copy 2
Dewey 512/.55
Cover Price $60.00
No. of Pages 319