Howe correspondence of unipotent characters for a finite symplectic/even-orthogonal dual pair

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2024-05-24 DOI:10.1353/ajm.2024.a928326

Shu-Yen Pan

引用次数: 0

Abstract

abstract:

In this paper we give a complete and explicit description of the Howe correspondence of unipotent characters for a finite reductive dual pair of a symplectic group and an even orthogonal group in terms of the Lusztig parametrization. That is, the conjecture by Aubert-Michel-Rouquier is confirmed.

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有限交映/偶正交对偶的单偶性字符的豪对应关系

摘要:在本文中，我们从 Lusztig 参数化的角度，对交映群和偶数正交群的有限还原对偶的单能符的豪对应关系给出了完整而明确的描述。也就是说，奥贝尔-米歇尔-鲁基耶的猜想得到了证实。

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

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.