Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 /

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

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 le...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Vogan, David A.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1988
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 118
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Physical Description:1 online resource (319 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • ACKNOWLEDGEMENTS
  • INTRODUCTION
  • Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM
  • Chapter 2. HARISH-CHANDRA MODULES
  • Chapter 3. PARABOLIC INDUCTION
  • Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,ℂ)
  • Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY
  • Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY
  • Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS
  • Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS
  • Chapter 8. LANGLANDS' PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS
  • Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS
  • Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS
  • Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS
  • Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS
  • Chapter 13. EXHAUSTION
  • REFERENCES
  • Backmatter

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