微分Lie-Yamaguti超代数的上同调与形变  

Cohomology and deformation of differential Lie-Yamaguti superalgebras

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

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550025

出　　处：《山东大学学报（理学版）》2024年第2期32-37,46,共7页Journal of Shandong University(Natural Science)

基　　金：贵州省科技计划项目(黔科合基础[2018]1020);贵州省高等学校系统建模与数据挖掘重点实验室项目(2023013);贵州省科技厅基金项目(黔科合基础-ZK[2023]一般025)。

摘　　要：给出微分Lie-Yamaguti超代数的表示和上同调,并根据上同调考虑微分Lie-Yamaguti超代数的线性形变。Firstly,the representation and cohomology of differential Lie-Yamaguti superalgebras are introduced.Then,the linear deformation of differential Lie-Yamaguti superalgebras is considered according to cohomology.

关 键 词：微分Lie-Yamaguti超代数 上同调 线性形变 

分 类 号：O152.5[理学—数学]