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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 by David A. Vogan
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 by David A. Vogan
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Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118

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Description

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.
Release date Australia
October 21st, 1987
Audiences
  • Professional & Vocational
  • Tertiary Education (US: College)
Pages
319
Dimensions
152x229x18
ISBN-13
9780691084824
Product ID
2406109

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