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arxiv: math/0401077 · v1 · submitted 2004-01-08 · 🧮 math.RT · math.CO· math.QA

A Littlewood-Richardson rule for evaluation representations of quantum affine sl(n)

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keywords affineevaluationquantumalgebracombinatorialcompositiondescriptionfactors
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We give a combinatorial description of the composition factors of the induction product of two evaluation modules of the affine Iwahori-Hecke algebra of type GL(m). Using quantum affine Schur-Weyl duality, this yields a combinatorial description of the composition factors of the tensor product of two evaluation modules of the quantum affine algebra of type sl(n).

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