Journal of Lie Theory 15 (2005), No. 2, 561--573
Copyright Heldermann Verlag 2005
On the Local Constancy of Characters
Dept. of Mathematics, University of Toronto, Toronto, Ont. M5S 3G3, Canada
The character of an irreducible admissible representation of a p-adic reductive group is known to be a constant function in some neighborhood of any regular semisimple element γ in the group. Under certain mild restrictions on γ, we give an explicit description of a neighborhood of γ on which the character is constant.
Keywords: Characters, reductive p-adic groups, Bruhat-Tits building.
MSC: 22E50; 22E35, 20G25
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