Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type.

We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras B ( p ) of Block type, where p is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over B ( p ) may be a nontrivial extension of a finite conformal module over Vir if p = − 1 , where Vir is a Virasoro conformal subalgebra of B ( p ) . As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras b ( n ) for n ≥ 1 . [ABSTRACT FROM AUTHOR]