Self-contragredient supercuspidal representations of $\mathrm {GL}_n$
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- by Jeffrey D. Adler PDF
- Proc. Amer. Math. Soc. 125 (1997), 2471-2479 Request permission
Abstract:
Let $F$ be a non-archimedean local field of residual characteristic $p$. Then $\mathrm {GL}_n(F)$ has tamely ramified self-contragredient supercuspidal representations if and only if $n$ or $p$ is even. When such representations exist, they do so in abundance.References
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Additional Information
- Jeffrey D. Adler
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 604177
- Email: jeff@math.uchicago.edu
- Received by editor(s): December 1, 1995
- Received by editor(s) in revised form: February 12, 1996
- Communicated by: Roe W. Goodman
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2471-2479
- MSC (1991): Primary 22E50; Secondary 20G05, 11F70
- DOI: https://doi.org/10.1090/S0002-9939-97-03786-6
- MathSciNet review: 1376746