2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77532For a Lie group G, we seek the right definition of a "moment space" for G. One axiom is clear, involving a closed equivariant three-form. We construct this form for symmetric spaces associated to a symmetric pair (H,G) with an additional structure. Furthermore, we prove a decomposition theorem for these pairs over a compact, connected, and semisimple Lie group.16 pagesSymplectic GeometryDifferential Geometry53C15 (Primary), 53C35, 58F05, 17B99, 22E15 (Secondary)text