On the local constancy of characters
Abstract
Description
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.
13 pages, corrected typos, minor changes to content
13 pages, corrected typos, minor changes to content