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Journal of Lie Theory 15 (2005), No. 2, 561--573
Copyright Heldermann Verlag 2005

On the Local Constancy of Characters

Jonathan Korman
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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