The inertial Jacquet-Langlands correspondence

被引：1

作者：

Dotto, Andrea ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2022年 / 2022卷 / 784期

基金：

英国工程与自然科学研究理事会;

关键词：

SMOOTH REPRESENTATIONS; LOCAL JACQUET; GL(N); CHARACTERS; FORMS; IV;

D O I：

10.1515/crelle-2021-0071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a parametrization of the simple Bernstein components of inner forms of a general linear group over a local field by two invariants constructed from type theory, and explicitly describe its behaviour under the Jacquet-Langlands correspondence. Along the way, we prove a conjecture of Broussous, Secherre and Stevens on preservation of endo-classes.

引用

页码：177 / 214

页数：38

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