Supersingular representations of rank 1 groups

Published 24 Aug 2018 in math.RT and math.NT | (1808.08255v2)

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

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