Modules for map Virasoro conformal algebras

Abstract

Any nontrivial finite irreducible module for the map Lie conformal algebra $$\hbox {Vir}\bigotimes {\mathcal {A}}$$ , where $$\hbox {Vir}$$ is the Virasoro conformal algebra and $${\mathcal {A}}$$ is an arbitrary finitely generated commutative associative algebra with unity over $${\mathbb {C}}$$ , is proved to be an evaluation module.