2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78092The paper presents a classification theorem for the class of flat connections with triangular (0,1)-components on a topologically trivial complex vector bundle over a compact Kahler manifold. As a consequence we obtain several results on the structure of Kähler groups, i.e., the fundamental groups of compact Kahler manifolds.Differential GeometryRepresentation TheoryPrimary 58A14, 14F05, 58A10Classification Theorem for a Class of Flat Connections and Representations of Kahler Groupstext