主要讨论了李超代数上的型心与双线性型.证明了单李超代数的型心是一的超域,零次型心是一个域.并且得到了型心与双线性型之间的一个关系.
Throughout the present paper, we mainly discuss properties of the centroid and the Killing fromon the Lie Superalgebra. KAC has given the concept of the centroid of the superalgebras. We give the definitionof the centroid and zero-degree centroid of the Lie Superalgebras. We prove that the centroid of a simple Lie su-peralgebra is a superfield. Also we get a relation between the zero-degree centroid and the Killing from of a simpleLie superalgebra.
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