2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77724We generalize the well known characterizations of totally nonnegative and oscillatory matrices, due to F.R.Gantmacher, M.G.Krein, A.Whitney, C.Loewner, M.Gasca, and J.M.Pena to the case of an arbitrary complex semisimple Lie group.10 pagesRepresentation TheoryAlgebraic GeometryCombinatoricsRings and Algebras22E46 (Primary); 14M15, 15A48, 20F55 (Secondary)Totally nonnegative and oscillatory elements in semisimple groupstext