Abstract
Let Uq(𝒢̂) denote the quantized affine Lie algebra and Uq(𝒢(1)) the quantized nontwisted affine Lie algebra. Let 𝒪fin be the category defined in Sec. III. It is shown that when the deformation parameter q is not a root of unit all integrable representations of Uq(𝒢̂) in the category 𝒪fin are completely reducible and that every integrable irreducible highest weight module over Uq(𝒢(1)) corresponding to q≳0 is equivalent to a unitary module.
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