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讨论n-李代数的结构.研究n-李代数的交换子代数的最大维数α(L)与交换理想的最大维数β(L)的性质,证明特征为零的代数闭域上有限维n-李代数L的交换理想的最大维数为dimL-n+1.详细讨论所有维数小于等于n+2的n-李代数的α(L)与β(L).“,”The structures of n-Lie algebras is investigated.The properties of the maximal dimension α(L) of abelian subalgebras and the maximal dimension β(L) of abelian ideals are studied.It is proven that for every finite-dimensional n-Lie algebra L over an algebraically closed field of characteristic zero,β(L)≤dimL-n+1.And α(L) and β(L) of n-Lie algebras L with dimL≤n+2 are discussed.