Principal series for general linear groups over finite commutative rings

preprint2020arXivOpen access

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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Principal series for general linear groups over finite commutative rings

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