有限维李代数的结构常数与立方阵

Structural Constants of Finite Dimensional Lie Algebras and Cube Matrices

用有限维李代数的结构常数及相对应的立方阵来刻画李代数的若干性质,给出了求李代数的自同构群和导子群的新方法以及李代数的结构常数法扩张.

We describe some properties of finite dimensional Lie algebras by their corresponding structural constants and cube matrices. New method to describe the automorphism group and derivation group of Lie algebras is given. And the paper also gives a way to extend Lie algebras by structural constants.