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Self-contragredient supercuspidal representations of $ \mathrm {GL}_n$

Author: Jeffrey D. Adler
Journal: Proc. Amer. Math. Soc. 125 (1997), 2471-2479
MSC (1991): Primary 22E50; Secondary 20G05, 11F70
MathSciNet review: 1376746
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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.

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Additional Information

Jeffrey D. Adler
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Received by editor(s): December 1, 1995
Received by editor(s) in revised form: February 12, 1996
Communicated by: Roe W. Goodman
Article copyright: © Copyright 1997 American Mathematical Society