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.
General
Imprint: |
Princeton University Press
|
Country of origin: |
United States |
Series: |
Annals of Mathematics Studies |
Release date: |
October 1987 |
First published: |
October 1987 |
Authors: |
David A. Vogan
|
Dimensions: |
229 x 152 x 26mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
319 |
ISBN-13: |
978-0-691-08482-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-691-08482-3 |
Barcode: |
9780691084824 |
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