Cocenters and representations of pro-$p$ Hecke algebras
Representation Theory
2016-05-12 v1
Abstract
In this paper, we study the relation between the cocenter and the representations of an affine pro- Hecke algebra. As a consequence, we obtain a new criterion on the supersingular representation: a (virtual) representation is supersingular if and only if its character vanishes on the non-supersingular part of the cocenter.
Keywords
Cite
@article{arxiv.1605.03493,
title = {Cocenters and representations of pro-$p$ Hecke algebras},
author = {Xuhua He and Sian Nie},
journal= {arXiv preprint arXiv:1605.03493},
year = {2016}
}
Comments
26 pages. arXiv admin note: text overlap with arXiv:1502.02184