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August 2022 Tame Cuspidal Representations in Non-Defining Characteristics
Jessica Fintzen
Michigan Math. J. 72: 331-342 (August 2022). DOI: 10.1307/mmj/20217217

Abstract

Let F be a nonarchimedean local field of residual characteristic p2. Let G be a (connected) reductive group that splits over a tamely ramified field extension of F. We show that a construction analogous to Yu’s construction of complex supercuspidal representations yields smooth, irreducible, cuspidal representations over an arbitrary algebraically closed field R of characteristic different from p. Moreover, we prove that this construction provides all smooth, irreducible, cuspidal R-representations if p does not divide the order of the Weyl group of G.

Citation

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Jessica Fintzen. "Tame Cuspidal Representations in Non-Defining Characteristics." Michigan Math. J. 72 331 - 342, August 2022. https://doi.org/10.1307/mmj/20217217

Information

Received: 5 June 2021; Revised: 12 November 2021; Published: August 2022
First available in Project Euclid: 2 August 2022

Digital Object Identifier: 10.1307/mmj/20217217

Subjects:
Primary: 20C20 , 20G05 , 20G25 , 22E50

Rights: Copyright © 2022 The University of Michigan

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Vol.72 • August 2022
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