Infinite-Dimensional Modular Lie Superalgebra Ω

Abstract EN

All ad-nilpotent elements of the infinite-dimensional Lie superalgebra Ω over a field of positive characteristic are determined.

The natural filtration of the Lie superalgebra Ω 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 Ω are intrinsic.

Therefore, we classify the infinite-dimensional modular Lie superalgebra Ω in the sense of isomorphism.