Vol. 301, No. 2, 2019

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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 GLn(F), 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
Authors
Geo Kam-Fai Tam
Institute for Mathematics, Astrophysics and Particle Physics
Radboud University
Nijmegen
Netherlands