Verifying Kottwitz’ conjecture by computer

Casselman, Bill

doi:10.1090/S1088-4165-00-00052-2

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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