2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179836We note that the recently introduced fuzzy torus can be regarded as a q-deformed parafermion. Based on this picture, classification of the Hermitian representations of the fuzzy torus is carried out. The result involves Fock-type representations and new finite dimensional representations for q being a root of unity as well as already known finite dimensional ones.12pages, no figureHigh Energy Physics - Theorytext