Work

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

Year: 2016

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1605.05299

Authors: Choiy, Kwangho, Goldberg, David

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2396562226

Cites: 26

Cited by:

Related to: 10