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A Gelfand model for a finite group G is a complex linear representation of G that contains each of its irreducible representations with multiplicity one. For a finite group G with a faithful representation V , one constructs a representation which we call the polynomial model for G associated to V . Araujo and others have proved that the polynomial models for certain irreducible Weyl groups associated to their canonical representations are Gelfand models. In this paper, we give an easier anddoi:10.1515/jgt.2009.060 fatcat:4ob6mheqgbapxoal3rjcmjnkf4