Superbiderivations of Simple Modular Lie Superalgebras of Witt Type and Special Type.

Let L be a simple modular Lie superealgebra of Witt type or special type over an algebraically closed field of characteristic p > 2. In this paper, all the superbiderivations of L are studied. By means of weight space decompositions with respect to a suitable torus and the standard Z -grading structures of L , we show that the supersymmetric superbiderivations of L are zero. Generalizing a result on the skewsymmetric biderivation of Lie algebras to the super case, we find that all the superbiderivations of L are inner. As applications, the linear supercommuting maps and the supercommutative post-Lie superalgebra structures on L are described. [ABSTRACT FROM AUTHOR]