定义了3-Lie代数A上的一个边缘算子δ和A的n阶上同调群Hn(A,V),证明了δ2=0.定义了3-李代数A的Casimir算子C,利用C的性质,证明了非退化的3-Lie代数的二阶上同调群等于零.
The authors define the orders n cohomology groups and a binary function φ(·) of 3-Lie algebraA.Using the function,the authors define the Casimir operator of a representation.And obtain the main result that the orders two cohomology group H2 (A,V) of an non-degenerate 3-Lie algebra A is zero.
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