2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165992We present some unpublished results of Kutzko together with results of Hill, giving a classification of the smooth (complex) representations of $\mathrm{GL}_{2}(\mathcal{O})$, where $\mathcal{O}$ is the ring of integers in a local field with finite residue field.9 pagesRepresentation Theorytext