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arXiv · 2202.08859

Supercuspidal representations in non-defining characteristics

Jessica Fintzen
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Abstract

We show that a mod-$\ell$-representation of a p-adic group arising from the analogue of Yu's construction is supercuspidal if and only if it arises from a supercuspidal representation of a finite reductive group. This has been previously shown by Henniart and Vigneras under the assumption that the second adjointness holds, a statement that is not yet available in the literature.

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Jessica Fintzen. 2022-02-17. Supercuspidal representations in non-defining characteristics. https://arxiv.org/abs/2202.08859

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