2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212985Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.This is a contribution to the Special Issue "Elie Cartan and Differential Geometry", published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMADifferential GeometryGeneral Relativity and Quantum Cosmologytext