© 2015

Representations of Reductive Groups

In Honor of the 60th Birthday of David A. Vogan, Jr.

  • Monica Nevins
  • Peter E. Trapa

Part of the Progress in Mathematics book series (PM, volume 312)

Table of contents

  1. Front Matter
    Pages i-xix
  2. William M. McGovern, Peter E. Trapa
    Pages 1-10
  3. Pramod N. Achar
    Pages 11-49
  4. Jeffrey Adams, David A. Vogan Jr.
    Pages 51-116
  5. Dan Barbasch, Dan Ciubotaru
    Pages 117-137
  6. Manjul Bhargava, Benedict H. Gross, Xiaoheng Wang
    Pages 139-171
  7. George Lusztig
    Pages 333-363
  8. George Lusztig, David A. Vogan Jr.
    Pages 365-398
  9. Wilfried Schmid, Kari Vilonen
    Pages 443-453
  10. Geordie Williamson
    Pages 517-532

About this book


Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups.  His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics.

Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014.  This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored.  Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context.

Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson


Algebraic Geometry David A. Vogan Lie Algebra Lie Groups Representation Theory

Editors and affiliations

  • Monica Nevins
    • 1
  • Peter E. Trapa
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada
  2. 2.Dept of Mathematics and StatisticsUniversity of UtahSalt Lake CityUSA

Bibliographic information

  • Book Title Representations of Reductive Groups
  • Book Subtitle In Honor of the 60th Birthday of David A. Vogan, Jr.
  • Editors Monica Nevins
    Peter E. Trapa
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-23442-7
  • Softcover ISBN 978-3-319-79483-9
  • eBook ISBN 978-3-319-23443-4
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages XIX, 532
  • Number of Illustrations 1 b/w illustrations, 6 illustrations in colour
  • Topics Topological Groups, Lie Groups
    Algebraic Geometry
    Number Theory
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