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研究了n+1维n-Lie代数的一些性质,证明了当dim[A,…,A]>1时,A的Cartan子代数的维数是n-1,且证明了n+2维n-Lie代数A是单的当且仅当A不含1维理想且A=[A,…,A]及关于Cartan子代数的一些结果.“,”The authors studied some properties on n + 1 dimensional n - Lie algebras, and we proved that when dimension of dim A 1＞ 1, the dimension of Cartan subalgebra of A is n - 1. And also proved that n + k dimensional n - Lie algebra is simple if and only if it has not ideals that the dimension are not more than k and A = [ A A ], and other results about Cartan subalgebras of n - Lie algebras.