给出了n-Lie代数的Killing型的非退化的定义，并证明了n-Lie代数半单的的充要条件是它的Killing型是非退化的.例证了一个半单的n-Lie代数不一定分解为单理想的直和.
The authors make a definition of non-degeneracy for the killing form of an n-Lie algebra and prove that an n-Lie algebra is semisimple if and only if its killing form is non-degenerate.The authors also give an example which sho ws that a semisimple n-Lie algebra need not to be a direct sum of simple ideals.
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