2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70000In this paper we characterize minimal free resolutions of homogeneous bundles on P^2. Besides we study stability and simplicity of homogeneous bundles on P^2 by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal free resolution in the case the first bundle of the resolution is irreducible.some minor changes; to appear in Annales de L'Institut FourierAlgebraic GeometryRepresentation Theory14M17; 14Lxxtext