All ad-nilpotent elements of the infinite-dimensional Lie superalgebra over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition of are intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebra in the sense of isomorphism.
"Infinite-Dimensional Modular Lie Superalgebra ." Abstr. Appl. Anal. 2013 (SI06) 1 - 10, 2013. https://doi.org/10.1155/2013/923101