On the local constancy of characters

Details On the local constancy of characters On the local constancy of characters

2004-08-31

arxiv.org/abs/math/0408432v2

Mathematics

Representation Theory

13 pages, corrected typos, minor changes to content

Scientific paper

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.

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