Supersingular representations of rank 1 groups
Representation Theory
2019-05-03 v2 Number Theory
Abstract
We prove that any connected reductive group of semisimple -rank 1 over a -adic field admits an irreducible admissible supersingular mod- representation. This establishes one of the missing cases in Vign\'eras' existence proof for general reductive groups.
Cite
@article{arxiv.1808.08255,
title = {Supersingular representations of rank 1 groups},
author = {Karol Koziol},
journal= {arXiv preprint arXiv:1808.08255},
year = {2019}
}
Comments
This article has been replaced by arXiv:1905.00053