关于n-Lie代数的几个注记

The Notes on n-Lie Algebra

在Lie代数的研究中 ,半单Lie代数是主要研究对象 ,在n -Lie代数中 ,人们试图将半单n -Lie代数放在同样位置去讨论 ,并希望得到像半单Lie代数那样好的结果 ,将举例说明 ,半单n -Lie代数并不具有半单Lie代数所具有的性质 ,半单Lie代数是单理想直和 ,半单Lie代数的导子是内导子 。

The semi_simpl Lie algebra is an important subject in the study of Lie algebras.people attempt to put the semi_simple n_Lie algebra in the same place as the semi_simple Lie algebra for studying.We will illustrate that the semi_simple n_Lie algebra does not possess the good properties like that. Every semi_simpe Lie algebra is direct sums of its simple ideals;every derivation of semi_simple Lie algebras is an inner and every semi_simple Lie algebra is equal to its derived algebra.