一类Z+阶李共形超代数上的有限自由不可约共形模

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-08-13 DOI:10.1016/j.jalgebra.2025.08.006

Jianzhi Han , Yumeng Zhan

引用次数: 0

摘要

在本文中，我们考虑了一类Z+-阶李共形超代数R=⊕i∈Z+(C[∂]Li⊕C[∂]Gi)，它们每一个都有一个基{Li，Gi|i∈Z+}∈{0}作为一个自由的C[∂]-模，并给出了这些R上有限（自由）不可约共形模的分类。

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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Finite free irreducible conformal modules over a class of Z+-graded Lie conformal superalgebras

In the present paper, we consider a class of

Z_{+}

-graded Lie conformal superalgebras

R = \oplus_{i \in Z_{+}} (C [\partial] L_{i} \oplus C [\partial] G_{i})

, each of which has a basis

{L_{i}, G_{i} | i \in Z_{+}} ∖ {0}

as a free

C [\partial]

-module and give the classification of finite (free) irreducible conformal modules over these

R

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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.