Characters of locally analytic representations of p-adic reductive groups.

Authors: Ralf Diepholz
Subjects: Number Theory
link: http://arxiv.org/abs/0908.2878
Abstract

We propose a definition of characters in the context of
Schneider-Teitelbaum's theory of locally analytic representations of p-adic
reductive groups. This character will be a function on a compact subgroup of a
maximal torus of the reductive group in question. As an example we treat the
locally analytic principal series of SL(2,Q_p).