Lie-Yamaguti代数的相对微分算子  

Relative Differential Operators on Lie-Yamaguti Algebras

作　　者：腾文[1] TENG Wen(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数学与统计学院,贵阳550025

出　　处：《数学年刊（A辑）》2024年第1期39-52,共14页Chinese Annals of Mathematics

基　　金：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)的资助。

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.In this paper,the author considers relative differential operators on Lie-Yamaguti algebras.Firstly,the concept of relative differential operators on Lie-Yamaguti algebras is given and its equivalent characterization is given.Then,the cohomology of relative differential operators on Lie-Yamaguti algebras is introduced.Finally,the infinitesimal deformation of relative differential operators on Lie-Yamaguti algebras is discussed.

关 键 词：Lie-Yamaguti代数 相对微分算子 上同调 形变 

分 类 号：O152.5[理学—数学]