2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70398Let G be a connected and simply connected real Lie group with Lie algebra g. Semialgebraic subsets of the unitary dual of G are defined and a strict Positivstellensatz for positive elements of the universal enveloping algebra of g is proved.15 pagesAlgebraic GeometryFunctional Analysis14P10; 17B35A Strict Positivstellensatz for Enveloping Algebrastext