Weakly unramified representations, finite morphisms, and Knapp-Stein $R$-groups
Number Theory
2022-10-06 v2 Representation Theory
Abstract
We transfer Knapp-Stein -groups for unitary weakly unramified characters between a -adic quasi-split group and its non-quasi-split inner forms, and provide the structure of those -groups for a general connected reductive group over a -adic field. This work supports previous studies on the behavior of -groups between inner forms, and extends Keys' classification for unitary unramified cases of simply-connected, almost simple, semi-simple groups.
Cite
@article{arxiv.2201.05091,
title = {Weakly unramified representations, finite morphisms, and Knapp-Stein $R$-groups},
author = {Kwangho Choiy},
journal= {arXiv preprint arXiv:2201.05091},
year = {2022}
}