n-李代数广义导子的分解

On the Decompositions of Generalized Derivations of n-Lie Algebras

导子是一种特殊的线性变换,在研究n-李代数的结构和表示理论中起着重要作用.为进 一步讨论n-李代数的结构,引入n-李代数广义导子的概念,指出几种广义导子按2元运算定义的 括积也构成李代数,并得到了这几种广义导子的分解.

The derivations which are special linear transformations play an important role in studying the construction and representation theory of n-Lie algebras.For further discussing the construction of n-Lie algebras , we introduce the generalized derivations of n-Lie algebras and show that they respectively form a Lie algebra. We also obtain the decompositions of several kinds of generalixed derivations respectively according to the decompositions of n-Lie algebras.