Super Triple Derivations Of The Model Filiform Lie Superalgebras L_（m,n）

Let L(m,n)be a model filiform Lie superalgebra over an algebraically closed field of characteristic zero.In this paper,we first give the linear independence of some special Z2-homogeneous super triple derivations of L(m,n),then it is studied that super triple derivative of L(m,n)can be linearly represented by some special Z2-homogeneous super triple derivations.Thus,the space structure of super triple derivations of L(m,n)is characterized.And by the multiplication table of super triple derivations,we characterize the algebraic structure of super triple derivations.