PRV for the fusion product, the case λ≫μ.

Given a complex simple Lie algebra g and a positive integer ℓ , under the assumption λ ≫ μ , we show that irreducible representations of g of the form V (λ + w μ) , w ∈ W , with level at most ℓ appear in the fusion product of V (λ) and V (μ) . This verifies the existence of PRV components for the fusion product in this special case. [ABSTRACT FROM AUTHOR]