Cyclic generators for irreducible representations of affine Hecke   algebras
  We give a detailed account of a combinatorial construction, due to Cherednik, of cyclic generators for irreducible modules of the affine Hecke algebra of the general linear group with generic parameter q. 
Valentina Guizzi (Universita' Roma Tre), Maxim Nazarov (University of   York), Paolo Papi (Sapienza Universita' di Roma)