2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112802We study the representation theory of a generalized graded Hecke algebra associated to a complex reflection group of type G(r,1,n), defined by Ram and Shepler. We use a realization of this algebra in the corresponding symplectic reflection algebra to prove a PBW theorem. We define principal series modules and prove an irreducibility criterion for them.12 pagesRepresentation TheoryMathematical Physics16Sxx; 33Dxx; 17Bxxtext