Derivatives And Automorphism Groups Of Two Classes Of Finite Dimensional Modular Lie Superalgebras

The present thesis is devoted to studying the derivatives and automorphism groups of two classes of finite-dimensional modular Lie superalgebras.We prove that the outer derivation algebras of Lie superalgebras ? and ? are abelian Lie algebras.Moreover,the dimensions of the outer derivation algebras are calculated.According to the invariance of the filtration of ? and ?,we discuss the automorphism groups of these two classes of lie superalgebras.