2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59227We give an explicit expression for the central elements of affine Hecke algebras of type A in the Coxeter presentation, in terms of (parabolic) affine Kazhdan-Lusztig polynomials. Our approach is based on a version of quantum affine Schur-Weyl duality involving the Hall algebra of a cyclic quiver, on the theory of canonical bases and on the higher-level q-deformed Fock spaces recently introduced by Uglov.Latex, 21 pages, 3 figures, some more references addedQuantum Algebratext