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Representation Theory of Reductive Groups

Proceedings of the University of Utah Conference 1982

  • Conference proceedings
  • © 1983

Overview

Editors:
  1. P. C. Trombi

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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Part of the book series: Progress in Mathematics (PM, volume 40)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xi
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  2. Multipliers and a Paley-Wiener Theorem for Real Reductive Groups

    • James Arthur
    Pages 1-19

  3. Weyl Group Representations and Nilpotent Orbits

    • Dan Barbasch, David Vogan
    Pages 21-33

  4. A Generalization of Casselman’s Submodule Theorem

    • Alexander Beilinson, Joseph Bernstein
    Pages 35-52

  5. Fourier Transforms of Orbits of the Coadjoint Representation

    • Nicole Berline, Michele Vergne
    Pages 53-67

  6. IL2 — Cohomology for Groups of Real Rank One

    • W. Casselman
    Pages 69-84

  7. Character Relations between Singular Holomorphic Representations

    • Heather Willow Chang
    Pages 85-96

  8. A Classification of Unitary Highest Weight Modules

    • Thomas Enright, Roger Howe, Nolan Wallach
    Pages 97-143

  9. The Range of the Radon Transform on a Symmetric Space

    • Sigurdur Helgason
    Pages 145-151

  10. Weighted Orbital Integrals

    • Rebecca A. Herb
    Pages 153-158

  11. Reciprocity Laws in the Theory of Dual Pairs

    • Roger Howe
    Pages 159-175

  12. Characters of the Discrete Series for Pseudo-Riemannian Symmetric Spaces

    • Thongchai Kengmana
    Pages 177-183

  13. All Supercuspidal Representations of SLℓ over a P-Adic Field are Induced

    • P. C. Kutzko, P. J. Sally Jr.
    Pages 185-196

  14. A Note on Invariant Forms on Locally Symmetric Spaces

    • Birgit Speh
    Pages 197-206

  15. Oscillatory Integrals and their Applications to Harmonic Analysis on Semisimple Lie Groups

    • V. S. Varadarajan
    Pages 207-222

  16. The Kazhdan-Lusztig Conjecture for Real Reductive Groups

    • David A. Vogan Jr.
    Pages 223-264

  17. Completeness of Poincaré Series for Automorphic Forms Associated to the Integrable Discrete Series

    • Nolan R. Wallach, Joseph A. Wolf
    Pages 265-281

  18. Geometric Methods in Representation Theory

    • Gregg J. Zuckerman
    Pages 283-290

  19. Back Matter

    Pages 291-296
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Keywords

About this book

This volume is the result of a conference on Representation Theory of Reductive Groups held in Park City, Utah, April 16-20, 1982, under the auspices of the Department of Mathematics, University of Utah. Funding for the conference was provided by the National Science Foundation. The text includes a number of original papers together with expository articles on work already in print. It is hoped that the volume will be of use to both experts in the field and nonspecialists interested in obtaining some insight into the area. Principal organizers of the conference were Henryk Hecht, Dragan Mili~ie, and Peter Trombi. They would like to express their thanks to the National Science Foundation for their support, to the speakers for their diligence in submitting their manuscripts, and to Carla Curtis, Karen Edge, and Katherine Ruth, for typing the manuscripts which were contributed. v CONTENTS J. Arthur, Multipliers and a Paley-Wiener theorem for real reductive groups .......................................... .

Editors and Affiliations

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    P. C. Trombi

Bibliographic Information

  • Book Title: Representation Theory of Reductive Groups

  • Book Subtitle: Proceedings of the University of Utah Conference 1982

  • Editors: P. C. Trombi

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-6730-7

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston, Inc. 1983

  • Softcover ISBN: 978-0-8176-3135-2Published: 01 January 1983

  • eBook ISBN: 978-1-4684-6730-7Published: 13 March 2013

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XII, 296

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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