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arXiv · 1808.08255

Supersingular representations of rank 1 groups

Karol Koziol
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Abstract

We prove that any connected reductive group of semisimple $F$-rank 1 over a $p$-adic field admits an irreducible admissible supersingular mod-$p$ representation. This establishes one of the missing cases in Vign\'eras' existence proof for general reductive groups.

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Karol Koziol. 2018-08-24. Supersingular representations of rank 1 groups. https://arxiv.org/abs/1808.08255

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