English

On the Steinberg character of a reductive p-adic group

Representation Theory 2020-11-02 v1

Abstract

The aim of this paper is to give generalizationof the constructionof the Steinberg tempered character on a connected reductive p-adic group. We prove that this character is invariant by the weak restriction of the Jacquet module by analogy to finite reductive groups.

Keywords

Cite

@article{arxiv.2010.16319,
  title  = {On the Steinberg character of a reductive p-adic group},
  author = {Karem Bettaieb and Imed Hichri},
  journal= {arXiv preprint arXiv:2010.16319},
  year   = {2020}
}