2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98254We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth setting are derived and applications to generalized rotational invariance are given.8 pagesFunctional Analysis46F30;58E40;46T30; 35A30text