2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119364In this paper we construct a class of homogeneous Hilbert modules over the disc algebra $\mathcal{A}(\mathbb D)$ as quotients of certain natural modules over the function algebra $\mathcal{A}(\mathbb D^2)$. These quotient modules are described using the jet construction for Hilbert modules. We show that the quotient modules obtained this way, belong to the class ${\mathrm B}_k(\mathbb D)$ and that they are mutually inequivalent, irreducible and homogeneous.Functional AnalysisRepresentation Theory47AOn the irreducibility of a class of homogeneous operatorstext