Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra.

In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras W(b) with b∈C related to the Virasoro conformal algebra. Explicitly, any finite irreducible conformal module over W(b) is proved to be isomorphic to MΔ,α,β with Δ≠0 or β≠0 if b = 0, or MΔ,α with Δ≠0 if b≠0. As a byproduct, all finite irreducible conformal modules over the Heisenberg-Virasoro conformal algebra and the W(2, 2) Lie conformal algebra are classified. Finally, the same thing is done for the Schrödinger-Virasoro conformal algebra. [ABSTRACT FROM AUTHOR]