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arXiv · 1704.05575

Principal series for general linear groups over finite commutative rings

Tyrone Crisp·Ehud Meir·Uri Onn
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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.

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Tyrone Crisp, Ehud Meir, Uri Onn. 2017-04-19. Principal series for general linear groups over finite commutative rings. https://arxiv.org/abs/1704.05575

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