On the Infinite-Dimensional Modular Lie Superalgebras of O-Type.

The natural filtrations of infinite-dimensional Lie superalgebras of O -type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent elements. We observe that two Lie superalgebras of O -type are isomorphic if and only if the integers in the definition of these Lie superalgebras are intrinsic. Thereby, all the Lie superalgebras of O -type are classified in the sense of isomorphism. [ABSTRACT FROM AUTHOR]