English

Supercuspidal representations in non-defining characteristics

Representation Theory 2022-02-21 v1

Abstract

We show that a mod-\ell-representation of a p-adic group arising from the analogue of Yu's construction is supercuspidal if and only if it arises from a supercuspidal representation of a finite reductive group. This has been previously shown by Henniart and Vigneras under the assumption that the second adjointness holds, a statement that is not yet available in the literature.

Keywords

Cite

@article{arxiv.2202.08859,
  title  = {Supercuspidal representations in non-defining characteristics},
  author = {Jessica Fintzen},
  journal= {arXiv preprint arXiv:2202.08859},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-24T09:43:16.838Z