A new class of irreducible modules over the affine-Virasoro algebra of type A1

In this paper, we construct a class of non-weight modules over the affine-Virasoro algebra type A1 by taking tensor products finite number irreducible M(λ,α,β,γ) with highest weight V(η,ϵ,θ). We obtain necessary and sufficient conditions for such product to be irreducible, determine two isomorphic. also compare these other known modules, showing that are new.