Principal series for general linear groups over finite commutative rings

Crisp, Tyrone; Meir, Ehud; Onn, Uri

doi:10.1080/00927872.2021.1931264

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Principal series for general linear groups over finite commutative rings

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Crisp, Tyrone
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1080/00927872.2021.1931264
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Citation

Crisp, T., Meir, E., & Onn, U. (in press). Principal series for general linear groups over finite commutative rings. Communications in Algebra, Early Access Online - Print pending. doi:10.1080/00927872.2021.1931264.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B630-4

Abstract

We construct, for any finite commutative ring $R$, a family of
representations of the general linear group $\mathrm{GL}_n(R)$ whose
intertwining properties mirror those of the principal series for
$\mathrm{GL}_n$ over a finite field.