修正$ \ λ $-微分李三元系统的上同调及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.