Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups
نویسندگان
چکیده مقاله:
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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عنوان ژورنال
دوره 43 شماره Issue 4 (Special Issue)
صفحات 117- 141
تاریخ انتشار 2017-08-30
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