Developments and Retrospectives in Lie Theory

Geometric and Analytic Methods

  • Geoffrey Mason
  • Ivan Penkov
  • Joseph A. Wolf

Part of the Developments in Mathematics book series (DEVM, volume 37)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Yuri Bahturin, Michel Goze, Elisabeth Remm
    Pages 1-40
  3. Pierre Bieliavsky, Victor Gayral, Axel de Goursac, Florian Spinnler
    Pages 41-76
  4. Joachim Hilgert, Gestur Ólafsson
    Pages 77-111
  5. Salah Mehdi, Roger Zierau
    Pages 161-181
  6. Karl-Hermann Neeb
    Pages 197-243

About this book


This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume.

The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis. 

Contributors to the Geometric and Analytic Methods volume:

Y. Bahturin                                         D. Miličić

P. Bieliavsky                                       K.-H. Neeb

V. Gayral                                            G. Ólafsson

A. de Goursac                                     E. Remm

M. Goze                                             W. Soergel

J. Hilgert                                             F. Spinnler

A. Huckleberry                                    M. Yakimov

T. Kobayashi                                       R. Zierau

S. Mehdi



Artinian Gorenstein algebras Dirac Cohmology harmonic analysis mathematical physics representation theory unitary representations of Banach

Editors and affiliations

  • Geoffrey Mason
    • 1
  • Ivan Penkov
    • 2
  • Joseph A. Wolf
    • 3
  1. 1.Department of MathematicsUniversity of California, Santa CruzSanta CruzUSA
  2. 2.School of Engineering and ScienceJacobs UniversityBremenGermany
  3. 3.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-09933-0
  • Online ISBN 978-3-319-09934-7
  • Series Print ISSN 1389-2177
  • Series Online ISSN 2197-795X
  • About this book