2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100212We establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras. Along the way we prove a (weak) polynomiality result for coefficients of symmetric and nonsymmetric Macdonald polynomials.v1: 28pg. v2: 38 pg., partially rewritten, new title (old title: A Kato-Lusztig formula for non-symmetric Macdonald polynomials), a few results added, some unsubstantiated expectations removedQuantum AlgebraRepresentation Theory33D52, 33D45, 33D80, 20C08, 17B10text