Semisimple characters for inner forms II: Quaternionic forms of $p$-adic classical groups ($p$ odd)
نویسندگان
چکیده
منابع مشابه
Semisimple characters for p-adic classical groups
Let G be a unitary, symplectic or orthogonal group over a non-archimedean local field of residual characteristic different from 2, considered as the fixed point subgroup in a general linear group G̃ of an involution. Following [7] and [13], we generalize the notion of a semisimple character for G̃ and for G. In particular, following the formalism of [4], we show that these semisimple characters h...
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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 w...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2020
ISSN: 1088-4165
DOI: 10.1090/ert/544