Unitary Representations of Reductive Lie Groups
Book Details
Format
Paperback / Softback
Book Series
Annals of Mathematics Studies
ISBN-10
0691084823
ISBN-13
9780691084824
Publisher
Princeton University Press
Imprint
Princeton University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 21st, 1987
Print length
319 Pages
Weight
486 grams
Dimensions
15.50 x 22.90 x 2.60 cms
Product Classification:
Algebra
Ksh 18,900.00
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Based on the "Hermann Weyl Lectures" given at the Institute for Advanced Study in January 1986. This title outlines some of what is known about irreducible unitary representations of real reductive groups, providing definitions and references, and sketches of most proofs.
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.
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