2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172081We prove that any coadjoint orbit with real eigenvalues of a complex semisimple Lie group, equipped with the real part of the canonical holomorphic symplectic form, is symplectomorphic to the cotangent bundle of a (partial) flag manifold. Moreover, we generalize this result to hyperbolic orbits in a real semisimple Lie algebra.25 pagesSymplectic GeometryRepresentation Theorytext