Distinguished cuspidal representations over $p$-adic and finite fields

Jeffrey Hakim

Vol. 311 (2021), No. 1, 89–111

DOI: 10.2140/pjm.2021.311.89

Abstract

The author’s work with Murnaghan on distinguished tame supercuspidal representations is reexamined using a simplified treatment of Jiu-Kang Yu’s construction of tame supercuspidal representations of $p$-adic reductive groups. This leads to a unification of aspects of the theories of distinguished cuspidal representations over $p$-adic and finite fields.

Keywords

supercuspidal representations, distinguished representations, cuspidal representations

Mathematical Subject Classification 2010

Primary: 11F67, 11F70, 20C33, 22E50

Milestones

Received: 8 September 2019

Revised: 24 November 2020

Accepted: 15 December 2020

Published: 17 March 2021