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

{"title":"修正$ \\ λ $-微分李三元系统的上同调及其应用","authors":"Wen Teng, Fengshan Long, Yu Zhang","doi":"10.3934/math.20231280","DOIUrl":null,"url":null,"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.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":" ","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cohomologies of modified $ \\\\lambda $-differential Lie triple systems and applications\",\"authors\":\"Wen Teng, Fengshan Long, Yu Zhang\",\"doi\":\"10.3934/math.20231280\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":48562,\"journal\":{\"name\":\"AIMS Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2023-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AIMS Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3934/math.20231280\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AIMS Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3934/math.20231280","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.