修正$ \ λ $-微分李三元系统的上同调及其应用

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-07-12 DOI:10.3934/math.20231280

Wen Teng, Fengshan Long, Yu Zhang

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引用次数: 0

摘要

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。

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

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.

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来源期刊

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.