$R$--groups, elliptic representations, and parameters for $GSpin$ groups
Representation Theory
2013-01-15 v1 Number Theory
Abstract
We study parabolically induced representations for with a --adic field of characteristic zero. The Knapp-Stein --groups are described and shown to be elementary two groups. We show the associated cocycle is trivial proving multiplicity one for induced representations. We classify the elliptic tempered spectrum. For , we describe the Arthur (Endoscopic) --group attached to Langlands parameters, and show these are isomorphic to the corresponding Knapp-Stein --groups.
Cite
@article{arxiv.1301.2829,
title = {$R$--groups, elliptic representations, and parameters for $GSpin$ groups},
author = {Dubravka Ban and David Goldberg},
journal= {arXiv preprint arXiv:1301.2829},
year = {2013}
}