2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126954We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are constructed from non-symmetric Macdonald polynomials through the action of the affine Hecke algebra. As a special case the matrix element of the vertex operators of level one is reproduced.17 pages, no figure; final version, we added the paper by Di Francesco and Zinn-Justin in referencesQuantum AlgebraMathematical PhysicsRepresentation Theory39A13, 33C52, 81R50text