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arXiv:1704.05575 [math.RT]AbstractReferencesReviewsResources

Principal series for general linear groups over finite commutative rings

Tyrone Crisp, Ehud Meir, Uri Onn

Published 2017-04-19Version 1

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.

Comments: 10 pages
Categories: math.RT
Subjects: 20G05, 20C33, 20C15, 20C05
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