T*-extension and 1-parameter formal deformation of Novikov superalgebras

In this paper, we study the representations and T∗-extensions of Novikov superalgebras. Many properties of a Novikov superalgebra can be lifted to its T∗-extensions such as nilpotency, solvability and decomposition. In particular, we discuss the equivalence of T∗-extensions. Moreover, we develop 1-parameter formal deformations theory of Novikov superalgebras.