2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64672We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold.11 pages, exposition streamlinedSymplectic GeometryDifferential GeometryRepresentation Theory53D17, 53C35, 17B20text