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Birkhäuser

The Orbit Method in Representation Theory

Proceedings of a Conference Held in Copenhagen, August to September 1988

  • Conference proceedings
  • © 1990

Overview

Authors:
  1. M. Duflo

    1. University of Paris-VII, Paris Cedex 05, France

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  2. M. Vergne

    1. DMI, CNRS, Paris, France

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  3. N. V. Pedersen

    1. Mathematics Department, University of Copenhagen, Copenhagen, Denmark

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Part of the book series: Progress in Mathematics (PM, volume 82)

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Table of contents (10 papers)

  1. Front Matter

    Pages i-x
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  2. Towards Harmonic Analysis on Homogeneous Spaces of Nilpotent Lie Groups

    • Lawrence Corwin
    Pages 1-9

  3. Orbites Coadjointes et Cohomologie Équivariante

    • Michel Duflo, Michèle Vergne
    Pages 11-60

  4. Représentations Monomiales des Groupes de Lie Résolubles Exponentiels

    • Hidénori Fujiwara
    Pages 61-84

  5. The Surjectivity Theorem, Characteristic Polynomials and Induced Ideals

    • Anthony Joseph
    Pages 85-98

  6. A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators

    • Bertram Kostant
    Pages 99-134

  7. The Penney-Fujiwara Plancherel Formula for Symmetric Spaces

    • Ronald L. Lipsman
    Pages 135-145

  8. Embeddings of Discrete Series into Principal Series

    • Toshihiko Matsuki, Toshio Oshima
    Pages 147-175

  9. Is There an Orbit Method for Affine Symmetric Spaces?

    • Gestur ’Olafsson, Bent Ørsted
    Pages 177-185

  10. On a Property of the Quantization Map for the Coadjoint Orbits of Connected Lie Groups

    • L. Pukanszky
    Pages 187-211

  11. The Poisson-Plancherel Formula for a Quasi-Algebraic Group with Abelian Radical and Reductive Generic Stabilizer

    • Pierre Torasso
    Pages 213-227

  12. Back Matter

    Pages 228-229
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Keywords

About this book

Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.

Authors and Affiliations

  • University of Paris-VII, Paris Cedex 05, France

    M. Duflo

  • DMI, CNRS, Paris, France

    M. Vergne

  • Mathematics Department, University of Copenhagen, Copenhagen, Denmark

    N. V. Pedersen

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