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Verifying Kottwitz' conjecture by computer


Author: Bill Casselman
Journal: Represent. Theory 4 (2000), 32-45
MSC (2000): Primary 20G99
DOI: https://doi.org/10.1090/S1088-4165-00-00052-2
Published electronically: February 1, 2000
MathSciNet review: 1740179
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Abstract: 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
Email: cass@math.ubc.ca

DOI: https://doi.org/10.1090/S1088-4165-00-00052-2
Received by editor(s): May 14, 1998
Received by editor(s) in revised form: October 11, 1999
Published electronically: February 1, 2000
Article copyright: © Copyright 2000 by the author