Simple Supercuspidal 𝐿-Packets of Quasi-Split Classical Groups

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-05-01 DOI:10.1090/memo/1483

Masao Oi

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引用次数: 0

Abstract

In this memoir, for quasi-split classical groups over p p -adic fields, we determine the L L -packets consisting of simple supercuspidal representations and their corresponding L L -parameters, under the assumption that p p is not equal to 2 2 . The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.

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准分裂经典群的简单超凸𝐿-Packets

在这篇回忆录中，对于 p p -adic 场上的准分裂经典群，我们在 p p 不等于 2 2 的假设下，确定了由简单超pidal 表示及其相应 L L -参数组成的 L L -包。关键在于对简单超pidal 表示的特征和内视特征关系的明确计算，而内视特征关系是对准分裂经典群的局部朗兰兹对应关系的描述。

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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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464