The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by certain ad-nilpotent elements. Moreover, we obtain an intrinsic characterization of contact superalgebras and a property of automorphisms of these Lie superalgebras.
"Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras." J. Appl. Math. 2014 (SI04) 1 - 9, 2014. https://doi.org/10.1155/2014/601847