三维李三系的分类(英文)

Classification of 3-Dimensional Lie Triple Systems

证明了复数域上的三维不可解李三系可以写成一个 2维的单纯子系和中心的直和 .写出了三维不可解李三系的非零乘法表 .通过计算结构常数 ,对三维可解李三系进行了分类 ,写出了它们的非零乘法表 .

The authors prove that a non_solvable 3_dimensional Lie triple system can be written as the direct sum of a 2_dimensional simple subsystem and the its center.By this fact,the authors write out the multiplication tables of non_solvable Lie triple systems.Calculating their structure constants,the authors classify the 3 dimensional solvable Lie triple systems and write their multiplication tables for a basis.