从Weyl组的阶级到阶层

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-09-18 DOI:10.1016/j.jalgebra.2025.08.036

G. Lusztig

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引用次数: 0

摘要

在2015年的一篇论文中，我们定义了一个映射，从Weyl群W中的共轭类集到W的不可约表示集（它的图像参数化了Weyl群W的约简群的层集）。在本文中，我们提供的证据表明，即使W被一个非晶体的有限Coxeter群取代，这个映射也是有意义的。

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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From classes in the Weyl group to strata

In a 2015 paper we have defined a map from the set of conjugacy classes in the Weyl group W to the set of irreducible representations of W (its image parametrizes the set of strata of a reductive group with Weyl group W). In this paper we provide evidence that this map makes sense even when W is replaced by a noncrystallographic finite Coxeter group.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.