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.
Choiy, K., & Goldberg, D. (2017). Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups. Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), 117-141.
MLA
K. Choiy; D. Goldberg. "Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups". Bulletin of the Iranian Mathematical Society, 43, Issue 4 (Special Issue), 2017, 117-141.
HARVARD
Choiy, K., Goldberg, D. (2017). 'Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups', Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), pp. 117-141.
VANCOUVER
Choiy, K., Goldberg, D. Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups. Bulletin of the Iranian Mathematical Society, 2017; 43(Issue 4 (Special Issue)): 117-141.
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