关于Sergeev超代数的jusys - murphy方法及其融合过程

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-22 DOI:10.1112/jlms.70302

Iryna Kashuba, Alexander Molev, Vera Serganova

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引用次数: 0

摘要

我们利用jusys - murphy元构造了Sergeev超代数S n$ {\mathcal {S}}_n$的本原幂等元的完备集。我们给出了S n$ {\mathcal {S}}_n$和具有基向量的显式构造的自旋对称群代数上的简单模的半正规形式。我们证明了幂等函数也可以从一个新的融合过程中得到。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Jucys–Murphy method and fusion procedure for the Sergeev superalgebra

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On the Jucys–Murphy method and fusion procedure for the Sergeev superalgebra

We use the Jucys–Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra $S_{n}$ . We produce seminormal forms for the simple modules over $S_{n}$ and over the spin symmetric group algebra with explicit constructions of basis vectors. We show that the idempotents can also be obtained from a new version of the fusion procedure.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.