2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60321A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.33 pages, 2 figures, final versionQuantum AlgebraCombinatoricsRepresentation TheoryMSC 17B 20C 05Etext