腾文.Lie-Yamaguti代数的相对微分算子[J].数学年刊A辑,2024,(1):39~52
Lie-Yamaguti代数的相对微分算子
Relative Differential Operators on Lie-Yamaguti Algebras
Received:June 16, 2022  Revised:June 23, 2023
DOI:10.16205/j.cnki.cama.2024.0004
中文关键词:  Lie-Yamaguti代数  相对微分算子  上同调  形变
英文关键词:Lie-Yamaguti algebras  Relative differential operator  Cohomology  Deformation
基金项目:国家自然科学基金(No.12161013); 贵州省科技厅基金项目(黔科合基础-ZK[2023]一般025)
Author NameAffiliation
腾文 School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China. 
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中文摘要:
      本文研究Lie-Yamaguti代数的相对微分算子.首先给出Lie-Yamaguti代数上相对微分算子的概念并给出等价刻画.随后,引入Lie-Yamaguti代数上相对微分算子的上同调.最后,讨论Lie-Yamaguti代数上相对微分算子的无穷小形变.
英文摘要:
      In this paper, the author considers relative differential operators on Lie-Yamagutialgebras. Firstly, the concept of relative differential operators on Lie-Yamaguti algebrasis given and its equivalent characterization is given. Then, the cohomology of relativedifferential operators on Lie-Yamaguti algebras is introduced. Finally, the infinitesimaldeformation of relative differential operators on Lie-Yamaguti algebras is discussed.
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