Supersingular representations of rank 1 groups
classification
🧮 math.RT
math.NT
keywords
groupsrankreductivesupersingularadicadmissibleadmitscases
read the original 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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