© 2014

Developments and Retrospectives in Lie Theory

Algebraic Methods

  • Geoffrey Mason
  • Ivan Penkov
  • Joseph A. Wolf


  • Includes contributions from an international group of experts in representation and Lie theory

  • Reflects the widespread influence of the Lie Theory Workshop on areas such as harmonic analysis, differential and algebraic geometry, and number theory

  • Contains articles covering representation theory from algebraic, geometric, analytic, and topological perspectives


Part of the Developments in Mathematics book series (DEVM, volume 38)

Table of contents

  1. Front Matter
    Pages i-x
  2. Yuri Bahturin, Michel Goze, Elisabeth Remm
    Pages 1-50
  3. Christopher P. Bendel, Brian D. Boe, Christopher M. Drupieski, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen et al.
    Pages 51-69
  4. Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins
    Pages 111-136
  5. Vasily Dolgushev, Thomas Willwacher
    Pages 137-158
  6. Vyacheslav Futorny, Iryna Kashuba
    Pages 175-183
  7. Dimitar Grantcharov
    Pages 185-206
  8. Geoffrey Mason, Siu-Hung Ng
    Pages 229-246
  9. Geoffrey Mason, Gaywalee Yamskulna
    Pages 247-274
  10. Dragan Miličić
    Pages 275-289
  11. Michael P. Tuite, Hoang Dinh Van
    Pages 351-384
  12. Anthony van Groningen, Jeb F. Willenbring
    Pages 385-397

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 Algebraic 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 Algebraic Methods volume:

Y. Bahturin, C. P. Bendel, B.D. Boe, J. Brundan, A. Chirvasitu, B. Cox, V. Dolgushev, C.M. Drupieski, M.G. Eastwood, V. Futorny, D. Grantcharov, A. van Groningen, M. Goze, J.-S. Huang, A.V. Isaev, I. Kashuba, R.A. Martins, G. Mason, D. Miličić, D.K., Nakano, S.-H. Ng, B.J. Parshall, I. Penkov, C. Pillen, E. Remm, V. Serganova, M.P. Tuite, H.D. Van, J.F. Willenbring, T. Willwacher, C.B. Wright, G. Yamskulna, G. Zuckerman


Kazhdan-Lusztig conjectures differential geometry harmonic analysis mathematical physics representation theory superalgebras

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.Jacobs UniversityBremenGermany
  3. 3.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • Book Title Developments and Retrospectives in Lie Theory
  • Book Subtitle Algebraic Methods
  • Editors Geoffrey Mason
    Ivan Penkov
    Joseph A. Wolf
  • Series Title Developments in Mathematics
  • Series Abbreviated Title DEVM
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-09803-6
  • Softcover ISBN 978-3-319-37820-6
  • eBook ISBN 978-3-319-09804-3
  • Series ISSN 1389-2177
  • Series E-ISSN 2197-795X
  • Edition Number 1
  • Number of Pages X, 397
  • Number of Illustrations 85 b/w illustrations, 0 illustrations in colour
  • Topics Topological Groups, Lie Groups
    Algebraic Geometry
    Number Theory
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