三维实李代数的分类

Jianhua HU, Feifei LI,Jing LIU

Journal of University of Shanghai for Science and Technology(2020)

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Abstract
根据李代数的导代数的性质及同构条件完成三维实李代数的分类.当导代数维数为0和1时,由李括号运算的性质及基的变换可将李代数分为三类:L(3,0),L(3,-1),L(3,1).当导代数维数为2和3时,根据内导子对应矩阵特征值的性质可将李代数分为五类:L(3,2,a),L(3,3),L(3,4,c),L(3,5),L(3,6).
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