Seminormal bases of cyclotomic Hecke–Clifford algebras

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-10-07 DOI:10.1007/s11005-025-01998-x

Shuo Li, Lei Shi

引用次数: 0

Abstract

In this paper, we describe the actions of standard generators on certain bases of simple modules for semisimple cyclotomic Hecke–Clifford superalgebras. As applications, we explicitly construct a complete set of primitive idempotents and seminormal bases for these algebras.

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切环Hecke-Clifford代数的半正规基

本文描述了半简单切环Hecke-Clifford超代数的标准生成子在简单模的若干基上的作用。作为应用，我们显式地构造了这些代数的本原幂等和半正规基的完备集。

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.