低维不可分解幂零Leibniz代数的局部自同构和局部导子  

Local Automorphisms and Local Derivations of Low-DimensionalNon Decomposable Nilpotent Leibniz Algebras

作　　者：傅珍 刘文德 FU Zhen;LIU Wende(School of Mathematics and Statistics,Hainan Normal University,Haikou 571158)

机构地区：[1]海南师范大学数学与统计学院,海口571158

出　　处：《吉林大学学报（理学版）》2022年第3期591-596,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061029);海南省自然科学基金(批准号:YQ2020A005).

摘　　要：利用矩阵理论考虑局部自同构与局部导子的抽象表示问题,给出复数域上不可分解的三维幂零Leibniz代数的局部自同构与局部导子的矩阵表达式,以及局部自同构与局部导子的表示方式.We discussed the problems of the abstract representation of local automorphisms and local derivations by using matrix theory, and gave the matrix expressions of local automorphisms and local derivations of three-dimensional nilpotent Leibniz algebras that could not be decomposed in complex field as well as the representation of local automorphisms and local derivations.

关 键 词：幂零Leibniz代数 局部自同构 局部导子 

分 类 号：O151.2[理学—数学]