Simple Supercuspidal 𝐿-Packets of Quasi-Split Classical Groups

IF 2 4区数学 Q1 MATHEMATICS Memoirs of the American Mathematical Society Pub Date : 2024-05-01 DOI:10.1090/memo/1483

Masao Oi

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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

Memoirs of the American Mathematical Society 数学-数学

CiteScore

3.50

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Memoirs of the American Mathematical Society is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS. To be accepted by the editorial board, manuscripts must be correct, new, and significant. Further, they must be well written and of interest to a substantial number of mathematicians.

期刊最新文献

Unipotent Representations, Theta Correspondences, and Quantum Induction On 𝑝-adic 𝐿-functions for Hilbert modular forms Cubical Models of (∞,1)-Categories Simple Supercuspidal 𝐿-Packets of Quasi-Split Classical Groups A Plethora of Cluster Structures on 𝐺𝐿_{𝑛}