Supersingular representations of rank 1 groups

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 Vignéras' existence proof for general reductive groups.

This article has been replaced by arXiv:1905.00053