Left-Symmetric Superalgebra Structures on an Infinite-Dimensional Lie Superalgebra

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-08-29 DOI:10.1142/s1005386723000354

Hongjia Chen, Omer Hassan

引用次数: 0

Abstract

In this note, the compatible left-symmetric superalgebra structures on an infinite-dimensional Lie superalgebra with some natural grading conditions are completely determined. The results of earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures.

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无限维李超代数上的左对称超代数结构

本文完全确定了无限维李超代数上具有自然分级条件的相容左对称超代数结构。早期关于Virasoro代数上的左对称代数结构的研究结果在确定这些相容结构方面起着至关重要的作用。

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

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.