对称群的格林定理与群代数的理想

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-04-11 DOI:10.1016/j.jalgebra.2025.03.050

Stephen Donkin

引用次数: 0

摘要

证明了对称群的群代数的某些因子环具有群元素的自然基。其中包括Raghavan， Samuel和Subrahmanyam （b[19]）以及Doty （b[8]）研究的因子环。我们还给出了对称群的某些置换模的湮灭子的产生子。

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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Greene's Theorem and ideals of the group algebra of a symmetric group

We show that certain factor rings of the group algebra of a symmetric group have natural bases of group elements. These include the factor rings studied by Raghavan, Samuel and Subrahmanyam, [19] and by Doty, [8]. We also give generators for the annihilator of certain permutation modules for symmetric groups.

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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.