2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76889Differential calculi are obtained for quantum homogeneous spaces by extending Woronowicz' approach to the present context. Representation theoretical properties of the differential calculi are investigated. Connections on quantum homogeneous vector bundles are classified and explicitly constructed by using the theory of projective modules.Latex with amsfonts, 9 pagesQuantum AlgebraMathematical Physicstext