2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157564We study unitary representations of groups in Krein spaces, irreducibility criteria and integral decompositions. Our main tool is the theory of Krein subspaces and their (reproducing) kernels and a variant of Choquet's theorem.27 pagesFunctional AnalysisRepresentation Theory46C20; 47A15Invariant Krein subspaces, regular irreducibility and integral representationstext