Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.
Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
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On reciprocal characters and the quantum affine Schur-Weyl duality
Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.