Induced representations of affine Hecke algebras and canonical bases of   quantum groups
  A 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. 
Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon