Filtraion Of Modular Lie Superalgebra Ω Over Field Of Characteristic P=3

In recent years,modular Lie superalgebras has obtained many important results.But the classification of simple modular Lie superalgebras is still an open problem.It is well known that filtration structures play a predominant role both in the classification of modular Lie algebras and nonmodular Lie superalgebras.Professor Zhang Yongzheng constructed a class of finite-dimensional simple modular Lie superalgebras ? in 2009.In this paper,the filtration for the modular Lie superalgebras ? was considered over an algebraic closed field of characteristic p = 3.At first,we give a summary of the definition and structure of modular Lie superalgebras ?.By means of the minimal dimension of image spaces,the filtration of modular Lie superalgebras ? is discussed.And the sufficient and necessary conditions for isomorphism of two modular Lie superalgebras ? are obtained.