Some properties of the family of modular Lie superalgebras
In this paper, we continue to investigate some properties of the family of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras are intrinsic. Thereby, we classify these Lie...