Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups
Representation Theory
2016-05-18 v1
Abstract
We study -groups for -adic inner forms of quasi-split special unitary groups. We prove Arthur's conjecture, the isomorphism between the Knapp-Stein -group and the Langlands-Arthur -group, for quasi-split special unitary groups and their inner forms. Furthermore, we investigate the invariance of the Knapp-Stein -group within -packets and between inner forms. This work is applied to transferring known results in the second-named author's earlier work for quasi-split special unitary groups to their non quasi-split inner forms.
Keywords
Cite
@article{arxiv.1605.05299,
title = {Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups},
author = {Kwangho Choiy and David Goldberg},
journal= {arXiv preprint arXiv:1605.05299},
year = {2016}
}