一类广义W-型模李超代数的导子

Derivation of generalized W-type modular Lie superalgebra

构造了广义W-型模李超代数W，并定义了Di-型元素．讨论了Di-型元素的性质，证明了在t≥-1条件下，W的z2-齐次导子与W的内导子在Di上有相同的作用，从而刻画了谚的导子超代数的Z-阶化成分．确定了广义W-型模李超代数谚的导子超代数．

In this paper,one first construct the generalized W-type modular Lie superalgebra W and define Di-type elements of W. Moreover, for any Z2-homogeneous derivation φ of t-degree of W, φ（Di） =ad A（Di） is proved,where t≥-1. Second,one give the z-graduation structures of the derivation superalgerbra of W. Finally,the derivation superalgebra of W is determined.