The Jucys–Murphy basis and semisimplicity criteria for the q-Brauer algebra

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-08-12 DOI:10.1007/s11005-024-01850-8

Hebing Rui, Mei Si, Linliang Song

引用次数: 0

Abstract

We construct the Jucys–Murphy elements and the Jucys–Murphy basis for the q-Brauer algebra in the sense of Mathas. We also give a necessary and sufficient condition for the q-Brauer algebra being (split) semisimple over an arbitrary field.

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q-Brauer 代数的 Jucys-Murphy 基和半简性标准

我们构建了马塔斯意义上的 q-Brauer 代数的 Jucys-Murphy 元和 Jucys-Murphy 基。我们还给出了 q-Brauer 代数在任意域上（分裂）半简单的必要条件和充分条件。

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

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.