Characters and growth of admissible representations of reductive p-adic groups
Representation Theory
2016-03-08 v3
Abstract
We use coefficient systems on the affine Bruhat-Tits building to study admissible representations of reductive p-adic groups in characteristic not equal to p. We show that the character function is locally constant and provide explicit neighbourhoods of constancy. We estimate the growth of the subspaces of invariants for compact open subgroups.
Keywords
Cite
@article{arxiv.0908.1489,
title = {Characters and growth of admissible representations of reductive p-adic groups},
author = {Ralf Meyer and Maarten Solleveld},
journal= {arXiv preprint arXiv:0908.1489},
year = {2016}
}
Comments
Changes in the third version: the proof of Theorem 7.2 contained some mistakes. We repaired it, but to make it work we had to adjust Definition 7.1 a little