2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229951We study Kostant's partial order on the elements of a semisimple Lie group in relations with the finite dimensional representations. In particular, we prove the converse statement of [3, Theorem 6.1] on hyperbolic elements.7 pagesGroup TheoryRepresentation Theory22E46text