凸元素和斯坦伯格的横截面

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-14 DOI:10.1016/j.aim.2025.110346

Sian Nie , Panjun Tan , Qingchao Yu

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引用次数: 0

摘要

本文研究了由Ivanov和第一作者引入的（扭曲）Weyl群中的凸元。我们证明了扭曲Weyl群的每个共轭类都包含一个凸元，并且所有凸元都存在Steinberg截面。这一结果从一个新的角度严格地扩大了Steinberg截面的情况，将对更高的delig - lusztig表示的研究起到重要作用。

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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Convex elements and Steinberg's cross-sections

In this paper, we study convex elements in a (twisted) Weyl group introduced by Ivanov and the first named author. We show that each conjugacy class of the twisted Weyl group contains a convex element, and moreover, the Steinberg cross-sections exist for all convex elements. This result strictly enlarges the cases of Steinberg cross-sections from a new perspective, and will play an essential role in the study of higher Deligne-Lusztig representations.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.