Finite free irreducible conformal modules over a class of Z+-graded Lie conformal superalgebras

Abstract

In the present paper, we consider a class of $Z_{+}$-graded Lie conformal superalgebras $R={\oplus }_{i\in Z_{+}}\left(C\right[\partial ]L_i\oplus C[\partial \left]G_i\right)$, each of which has a basis $\{L_i,G_i|i\in Z_{+}\}\setminus \{0\}$ as a free $C[\partial ]$-module and give the classification of finite (free) irreducible conformal modules over these $R$.