Irreducible Virasoro modules from tensor products (II)

In this paper, we obtain a class of Virasoro modules by taking tensor products of a finite number of irreducible Virasoro modules of the form Ω(λi,ai)Ω(λi,ai) defined in [19] with irreducible highest weight modules V(θ,h)V(θ,h) or with irreducible Virasoro modules Indθ(N)Indθ(N) defined in [24], i.e., the tensor product (⨂i=1mΩ(λi,ai))⊗v where V   is V(θ,h)V(θ,h) or Indθ(N)Indθ(N). We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. We compare the tensor products with other known irreducible non-weight Virasoro modules. We also characterize these irreducible tensor products.