Cohomologies of modified $ \lambda $-differential Lie triple systems and applications

IF 1.8 3区 数学 Q1 MATHEMATICS
Wen Teng, Fengshan Long, Yu Zhang
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引用次数: 0

Abstract

In this paper, we introduce the concept and representation of modified $ \lambda $-differential Lie triple systems. Next, we define the cohomology of modified $ \lambda $-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified $ \lambda $-differential Lie triple systems.
修正$ \ λ $-微分李三元系统的上同调及其应用
在本文中,我们引入了修正的$\lambda$微分李三系统的概念和表示。接下来,我们定义了系数在适当表示中的修正$\lambda$微分李三系统的上同调。作为所提出的上同调理论的应用,我们研究了修正的$\lambda$微分李三系统的1-参数形式变形和阿贝尔扩展。
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
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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