Journal of Lie Theory
Vol. 15, No. 2, pp. 561–573 (2005)
On the local constancy of characters
Jonathan KormanJonathan Korman
Department of Mathematics
University of Toronto
Toronto, Ontario, Canada M5S 3G3
Abstract: 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 $\gamma$ in the group. Under certain mild restrictions on $\gamma$, we give an explicit description of a neighborhood of $\gamma$ on which the character is constant.
Keywords: Characters, reductive $p$-adic groups, Bruhat-Tits building
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