Invariance of R-groups between p-adic inner forms of quasi-split classical groups
Representation Theory
2013-10-11 v1 Number Theory
Abstract
We study the reducibility of parabolically induced representations of non-split inner forms of quasi-split classical groups. The isomorphism of Arthur R-groups, endoscopic R-groups and Knapp-Stein R-groups is established, as well as showing these R-groups are isomorphic to the corresponding ones for the quasi-split form. This shows R-groups are an invariant of the L-packets. The results are applied to classify the elliptic spectrum.
Keywords
Cite
@article{arxiv.1310.2625,
title = {Invariance of R-groups between p-adic inner forms of quasi-split classical groups},
author = {Kwangho Choiy and David Goldberg},
journal= {arXiv preprint arXiv:1310.2625},
year = {2013}
}