2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67312For a root system of type $B$ we study an algebra similar to a graded Hecke algebra, isomorphic to a subalgebra of the rational Cherednik algebra. We introduce principal series modules over it and prove an irreducibility criterion for these modules. We deduce similar results for an algebra associated to a root system of type $D$.21 pages, french, corrected and enlarged versionRepresentation Theorytext