Behavior of R-groups for p-adic inner forms of quasi-split special unitary groups

2016/05/17 by Choiy, Kwangho, Goldberg, David
#22E35 #22E50 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1605.05299

Abstract

We study R-groups for p-adic inner forms of quasi-split special unitary groups. We prove Arthur's conjecture, the isomorphism between the Knapp-Stein R-group and the Langlands-Arthur R-group, for quasi-split special unitary groups and their inner forms. Furthermore, we investigate the invariance of the Knapp-Stein R-group within L-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.

Related

• Invariance of R-groups between p-adic inner forms of quasi-split classical groups
• Transfer of R-groups between p-adic inner forms of SL_n
• On \rm Sp-distinguished representations of the quasi-split unitary groups
• On Arthur's unitarity conjecture for split real groups
• Depth preserving property of the local Langlands correspondence for quasi-split classical groups in a large residual characteristic