English

Twisted character formula for toral supercuspidal representations

Representation Theory 2026-03-17 v2 Number Theory

Abstract

We establish an explicit formula for twisted Harish-Chandra characters of toral supercuspidal representations of p-adic reductive groups under several technical assumptions. Our setup especially includes the case of a quasi-split group equipped with an involution.

Keywords

Cite

@article{arxiv.2512.20525,
  title  = {Twisted character formula for toral supercuspidal representations},
  author = {Masao Oi},
  journal= {arXiv preprint arXiv:2512.20525},
  year   = {2026}
}

Comments

70 pages, added list of symbols

R2 v1 2026-07-01T08:38:50.972Z