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

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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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Acknowledgements

The author thanks the referee for a careful reading and valuable suggestions and comments that have improved the manuscript. The author is supported by a grant from the Simons Foundation (#840755).

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  1. School of Mathematical and Statistical Sciences, Southern Illinois University, Carbondale, IL, 62901-4408, USA

    Kwangho Choiy

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Choiy, K. Weakly unramified representations, finite morphisms, and Knapp-Stein R-groups. manuscripta math. 172, 871–884 (2023). https://doi.org/10.1007/s00229-022-01434-7

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