2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156323The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the representation are found. These commutation relations can be seen as a (minimal) generalization of the Maurer-Cartan equations and do not depend on the particular birepresentation.7 pages, LaTeX2e, no figuresRepresentation Theory20N05, 17D10text