Explicit Whittaker data for essentially tame supercuspidal representations

Geo Kam-Fai Tam

Vol. 301 (2019), No. 2, 617–638

DOI: 10.2140/pjm.2019.301.617

Abstract

Based on the ideas of Bushnell and Henniart, and of Paskunas and Stevens, we construct explicit Whittaker data for an essentially tame supercuspidal representation of ${GL}_n\left(F\right)$, where $F$ is a non-Archimedean local field.

Keywords

Whittaker data, essentially tame supercuspidal representations

Mathematical Subject Classification 2010

Primary: 22E50

Secondary: 20G05

Milestones

Received: 8 October 2017

Revised: 16 October 2018

Accepted: 4 December 2018

Published: 24 October 2019