Note On The Infinite-Dimensional Modular Lie Superalgebra E

The research of the modular Lie superalgebra(Lie superalgebra over a field of prime characteristic)has achieved many important results.The superderivation algebra is one of the important contents in the research of the Lie superalgebra.In this article,we first prove that the infinite dimensional modular Lie superalgebra (?) is simple.Then we discuss the generating sets of the infinite dimensional modular Lie superalgebra (?).Final-ly,we determine the Z-homogenous superderivation of the modular Lie superalgebra (?).Thereby we determined the superderivation algebra of infinite dimensional modular Lie superalgebra (?).