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ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF
$p$-ADIC REDUCTIVE GROUPS
Published online by Cambridge University Press: 13 January 2020
Abstract
Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension
$F/\mathbb{Q}_{p}$ and that
$C$ is a field of characteristic
$p$. We prove that the group
$\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently supersingular, representation over
$C$.
- Type
- Number Theory
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © The Author(s) 2020
References
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