The Property And Derivation Superalgebra Of Modular Lie Superalgebra S (n, M)

Let F be the underlying base field of characteristic p>2. In this paper, we construct a class of modular Lie superalgebra S(n,m) under F. We first discuss some properties of this algebra. Then we get the set of generating elements and prove the simplicity. We get homogeneous derivations by calculation. At last the derivation superalgebra is determined.