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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Unitary Representations of Reductive Lie Groups

Unitary Representations of Reductive Lie Groups

Vogan, David A.

Paperback

Series: Annals of Mathematics Studies, Book 118

Algebra

ISBN10: 0691084823
ISBN13: 9780691084824
Publisher: Princeton University Press
Published: Oct 21 1987
Pages: 319
Weight: 1.13
Height: 0.82 Width: 6.08 Depth: 9.04
Language: English

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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