Description: Unitary Representations of Reductive Lie Groups, Paperback by Vogan, David A., ISBN 0691084823, ISBN-13 9780691084824, Brand New, Free shipping in the US
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 th 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 th explains the evidence for that expectation and suggests a partial definition of unipotent representations.
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Book Title: Unitary Representations of Reductive Lie Groups
Number of Pages: 319 Pages
Publication Name: Unitary Representations of Reductive Lie Groups. (Am-118) , Volume 118
Language: English
Publisher: Princeton University Press
Publication Year: 1987
Subject: Group Theory, Algebra / Linear
Item Height: 1 in
Type: Textbook
Item Weight: 16 Oz
Item Length: 8.9 in
Subject Area: Mathematics
Author: David A. Vogan, David A. Vogan Jr.
Series: Annals of Mathematics Studies
Item Width: 6 in
Format: Trade Paperback
