Existence of supersingular representations of p-adic reductive groups
Number Theory
2018-01-01 v1
Abstract
Let G be a connected simple adjoint p-adic group not isomorphic to a projective linear group PGL(m,D) of a division algebra D, or an adjoint ramified unitary group of a split hermitian form in 3 variables. We prove that G admits an irreducible admissible supercuspidal (i.e. supersingular) representation over any field of characteristic p.
Keywords
Cite
@article{arxiv.1712.10142,
title = {Existence of supersingular representations of p-adic reductive groups},
author = {Marie-France Vignéras},
journal= {arXiv preprint arXiv:1712.10142},
year = {2018}
}