Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type
Abstract We introduce a class of infinite Lie conformal superalgebras S ( p ) of Block type, and classify their finite irreducible conformal modules for any nonzero parameter p. In particular, we show that such a conformal module admits a nontrivial extension of a finite conformal module over NS if p = − 1 , where NS is a Neveu-Schwarz conformal subalgebra of S ( p ) . As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal superalgebras s ( n ) for n ≥ 1 .