论文标题

非定义特征中的超舒张表示

Supercuspidal representations in non-defining characteristics

论文作者

Fintzen, Jessica

论文摘要

我们表明,当Yu的构造类似物引起的P-ADIC群体的mod-$ \ ell $ - 当时仅在有限还原群体的超斯皮德代表中产生。 Henniart和Vigneras以前已经在第二个伴随性所持的假设上表明了这一点,这是文献中尚未可用的。

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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