The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type

Abstract

This paper is concerned with the natural filtration of Lie superalgebra $S(n,m)$ of special type over a field of prime characteristic. We first construct the modular Lie superalgebra $S(n,m)$. Then we prove that the natural filtration of $S(n,m)$ is invariant under its automorphisms.