2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68881The main result of this paper is the classification of the real irreducible representations of compact Lie groups with vanishing homogeneity rank.Latex, 13 pagesDifferential Geometry22E45; 57S15Homogeneity rank of real representations of compact Lie groupstext