结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。

It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.

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李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。

Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.

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最后一部分中，我们讨论左对称代数和李代数上的左对称结构在着色李超代数中进一步的推广。

In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.

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