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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Verifying Kottwitz’ conjecture by computer
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by Bill Casselman PDF
Represent. Theory 4 (2000), 32-45


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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Additional 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