关于光滑简单 $RG$ 模块可接受性的说明

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2024-01-05 DOI:10.4171/rsmup/148

Mihir Sheth

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摘要

在本论文中，我们利用 Dat、Helm、Kurinczuk 和 Moss 对 R 上赫克代数的有限性结果，证明 G 的每个光滑不可还原 R 线性表示都是可容许的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on the admissibility of smooth simple $RG$-modules

Let G be a p-adic reductive group and R be a noetherian Jacobson algebra over the ring Zl of l-adic integers with l ≠ p. In this note, we show that every smooth irreducible R-linear representation of G is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over R. Mathematics Subject Classification (2020) – Primary 22E50; Secondary 11F70, 20C08.

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Rendiconti del Seminario Matematico della Università di Padova

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