Abstract:Abstract. Let g be an untwisted affine Kac-Moody algebra of type A(1)n (n ≥ 4) and let g 0 be the underlying finite-dimensional simple Lie subalgebra of g. For each Dynkin quiver Q of type g 0 , Hernandez and Leclerc () introduced a tensor subcategory C Q of the category of finite-dimensional integrable U ′ q (g)-modules and proved that the Grothendieck ring of C Q is isomorphic to C[N ], the coordinate ring of the unipotent group N associated with g 0 . We apply the generalized quantum affine Schur-Weyl d… Show more
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