Local superderivations of Lie superalgebra osp(1, 2) to all simple modules.

In this paper, we consider the orthogonal symplectic Lie superalgebra osp(1, 2) over an algebraically closed field of prime characteristic p > 2. Using the classification of the simple modules of the Lie superalgebra osp(1, 2), we prove that every local superderivation of osp(1, 2) to any simple module is a superderivation. [ABSTRACT FROM AUTHOR]