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Representations of Reductive Groups

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

Birkhäuser
  • A unique and comprehensive tribute for David A. Vogan, Jr., a mathematician whose work has had a lasting impact on the field
  • Highlights the depth and breadth of Vogan's influence on representation theory, number theory, automorphic forms, algebraic geometry, and combinatorics
  • Explores many exciting new directions that remain to be explored in the representation theory of reductive groups

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

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xix
  2. The Mathematical Work of David A. Vogan, Jr.

    • William M. McGovern, Peter E. Trapa
    Pages 1-10
  3. On exotic and perverse-coherent sheaves

    • Pramod N. Achar
    Pages 11-49
  4. Parameters for twisted representations

    • Jeffrey Adams, David A. Vogan Jr.
    Pages 51-116
  5. Ladder representations of \(\mathrm{GL}(n, \mathbb{Q}_{p})\)

    • Dan Barbasch, Dan Ciubotaru
    Pages 117-137
  6. Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits

    • Manjul Bhargava, Benedict H. Gross, Xiaoheng Wang
    Pages 139-171
  7. On conjugacy classes in a reductive group

    • George Lusztig
    Pages 333-363
  8. Hecke algebras and involutions in Coxeter groups

    • George Lusztig, David A. Vogan Jr.
    Pages 365-398
  9. Hodge theory and unitary representations

    • Wilfried Schmid, Kari Vilonen
    Pages 443-453
  10. A reducible characteristic variety in type A

    • 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

Editors and Affiliations

  • Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada

    Monica Nevins

  • Dept of Mathematics and Statistics, University of Utah, Salt Lake City, USA

    Peter E. Trapa

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

  • DOI: https://doi.org/10.1007/978-3-319-23443-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-23442-7Published: 06 January 2016

  • Softcover ISBN: 978-3-319-79483-9Published: 30 March 2018

  • eBook ISBN: 978-3-319-23443-4Published: 18 December 2015

  • 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

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access