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arXiv · 2201.05091

Weakly unramified representations, finite morphisms, and Knapp-Stein $R$-groups

Kwangho Choiy
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Abstract

We transfer Knapp-Stein $R$-groups for unitary weakly unramified characters between a $p$-adic quasi-split group and its non-quasi-split inner forms, and provide the structure of those $R$-groups for a general connected reductive group over a $p$-adic field. This work supports previous studies on the behavior of $R$-groups between inner forms, and extends Keys' classification for unitary unramified cases of simply-connected, almost simple, semi-simple groups.

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Kwangho Choiy. 2022-01-13. Weakly unramified representations, finite morphisms, and Knapp-Stein $R$-groups. https://doi.org/10.1007/s00229-022-01434-7

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