Simple cuspidal representations of symplectic groups: Langlands parameter
Representation Theory
2023-11-01 v1 Number Theory
Abstract
Let be a non-archimedean local field of odd residual characteristic. We compute the Jordan set of a simple cuspidal representation of a symplectic group over , using explicit computations of generators of the Hecke algebras of covers reflecting the parabolic induction under study. When is a -adic field we obtain the Langlands parameter of the representation.
Cite
@article{arxiv.2310.20455,
title = {Simple cuspidal representations of symplectic groups: Langlands parameter},
author = {Corinne Blondel and Guy Henniart and Shaun Stevens},
journal= {arXiv preprint arXiv:2310.20455},
year = {2023}
}
Comments
33 pages