Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras
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چکیده
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 section 3. We show 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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تاریخ انتشار 1993