4-维幂零李代数的Hom-Lie代数结构  

Hom-Lie Algebra Structures on a 4-dimensional Nilpotent Lie Algebra

作　　者：林丽芳 曾月迪 陈梅香 LIN Li-fang;ZENG Yue-di;CHEN Mei-xiang(School of Mathematics and Finance,Putian University,Putian 351100,China)

机构地区：[1]莆田学院数学与金融学院,福建莆田351100

出　　处：《长春师范大学学报》2022年第10期6-8,46,共4页Journal of Changchun Normal University

基　　金：福建省中青年教师教育科研项目“低维数(≤5)幂零李代数的Hom-李代数结构”(JAT200518)。

摘　　要：根据Hom-Lie代数的定义,结合基元的方括号运算,将李代数的Hom-同态表示为矩阵,计算Hom-同态所满足的方括号运算和Hom-Jicobi等式,比较等式两边基元所对应系数,确定了4-维幂零李代数的Hom-Lie代数结构.According to the definition of the Hom-lie Algebra, combined with square bracket operation the basis satisfied, the square bracket operation and the Hom-Jacobi identity on basis which Hom-homomorphism keeps are computed by recording the Hom-homomorphism of a lie algebra as a matrix, the Hom-Lie algebra structures on 4-dimensional nilpotent Lie algebra are determined by comparing the coefficients of basis on both sides of the equations obtained by Hom-homomorphism.

关 键 词：李代数 幂零李代数 Hom-Lie代数结构 

分 类 号：O152.5[理学—数学]