On irreducibility of tensor products of evaluation modules for the quantum affine algebra
A. I. Molev, V. N. Tolstoy, R. B. Zhang
Abstract
Every irreducible finite-dimensional representation of the quantized enveloping algebra Uq(gln) can be extended to the corresponding quantum affine algebra via the evaluation homomorphism. We give in explicit form the necessary and sufficient conditions for irreducibility of tensor products of such evaluation modules.
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