秩为（2 + 1）的李共形超代数

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-10-10 DOI:10.1016/j.jalgebra.2025.08.045

Jinrong Wang, Xiaoqing Yue

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引用次数: 0

摘要

本文给出了秩为（2+1）的李共形超代数的完全分类（直到同构），并确定了它们的自同构群。在此基础上，给出了有限不可约共形模的分类，并明确描述了它们的作用。此外，我们引入了几个新的无限维李超代数，它们与先前构造的李共形超代数相关联。证明了一类李共形超代数上的所有有限非平凡不可约共形模必须是秩1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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Lie conformal superalgebras of rank (2 + 1)

In this paper, Lie conformal superalgebras of rank

(2 + 1)

are completely classified (up to isomorphism) and their automorphism groups are determined. Furthermore, we give the classification of finite irreducible conformal modules over them and their actions are explicitly described. In addition, we introduce several new infinite-dimensional Lie superalgebras associated with previously constructed Lie conformal superalgebras. We also prove that all finite nontrivial irreducible conformal modules over a class of Lie conformal superalgebras must be of rank one.

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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.

秩为（2 + 1）的李共形超代数

摘要

秩为（2 + 1）的李共形超代数