Unitary Representations of Reductive Lie Groups

Released on by David A. Vogan
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  • Unitary Representations of Reductive Lie Groups Book Detail

  • Author : David A. Vogan
  • Release Date : 1987-10-21
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 324
  • ISBN 13 : 9780691084824
  • File Size : 71,71 MB
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Unitary Representations of Reductive Lie Groups by David A. Vogan PDF Summary

Book 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.

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Real Reductive Groups I

Real Reductive Groups I

File Size : 48,48 MB
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Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers fo