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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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Verifying Kottwitz’ conjecture by computer
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by Bill Casselman
Represent. Theory 4 (2000), 32-45
Published electronically: February 1, 2000


In these notes I will discuss the computations that were used to verify the main conjecture of Kottwitz (1997) for the groups $E_{6}$, $E_{7}$, $E_{8}$, and the subsidiary one for $F_{4}$ and $E_{6}$. At the end I will include tables of the relevant computer output. I begin by recalling briefly what is to be computed.
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Bibliographic Information
  • Bill Casselman
  • Affiliation: Department of Mathematics, University of British Columbia, Vancouver, BC Canada V6T 1W5
  • MR Author ID: 46050
  • Email:
  • Received by editor(s): May 14, 1998
  • Received by editor(s) in revised form: October 11, 1999
  • Published electronically: February 1, 2000
  • © Copyright 2000 by the author
  • Journal: Represent. Theory 4 (2000), 32-45
  • MSC (2000): Primary 20G99
  • DOI:
  • MathSciNet review: 1740179