#### Vol. 311, No. 1, 2021

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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