sl(2,■)到其单模V(3)和V(4)的局部导子  

Local Derivations from sl(2,■)toIts Simple Modules V(3)and V(4)

作　　者：李赵鑫 王淑娟 LI Zhaoxin;WANG Shujuan(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《吉林大学学报（理学版）》2022年第4期827-832,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061029);黑龙江省自然科学基金优秀青年项目(批准号:YQ2020A005).

摘　　要：将李代数到伴随模局部导子的概念推广到任意有限维模,从而将一般线性李代数sl(2,■)到其任意单模的局部导子求解问题等价地转化为解相关线性方程组,进而利用系数矩阵的秩与增广矩阵的秩相等,确定了3维单李代数sl(2,■)到两类单模V(3)和V(4)的局部导子空间.The concept of local derivations from Lie algebra to adjoint module was extended to any finite dimensional module.The problem of solving the local derivations of the general linear Lie algebra sl(2,■)to any simple module was equivalently transformed into solving the related linear equations.By using the rank of the coefficient matrix was equal to the rank of the augmented matrix,the local derivation spaces from 3-dimensional simple Lie algebra sl(2,■)to two kinds of simple modules V(3)and V(4)were determined.

关 键 词：李代数 单模 局部导子 秩 

分 类 号：O152.5[理学—数学]