Natural filtrations of infinite-dimensional modular contact superalgebras

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. © 2014 qiang mu.