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

Kwangho Choiy; David Goldberg

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arXiv · 1605.05299

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

Kwangho Choiy·David Goldberg

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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.

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BibTeX RIS

Kwangho Choiy, David Goldberg. 2016-05-17. Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups. https://arxiv.org/abs/1605.05299

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