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We define an explicit action of the quantum loop algebra Uq(glˆn) on the tensor space and show that these actions are compatible with the natural embedding Uq(glˆn)↪Uq(glˆn+1). As an application, we identify simple representations of affine q-Schur algebras S▵(n,r)C arising from simple polynomial representations of Uq(glˆn) (Frenkel and Mukhin, 2002) [11] with those arising from simple modules of...
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