Simple Supercuspidal 𝐿-Packets of Quasi-Split Classical Groups

IF 4.7 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。

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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

期刊介绍： ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.