2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118124We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the (gl(N),gl(M)) duality.Latex, 14 pagesQuantum AlgebraRepresentation TheoryA generalization of the Capelli identitytext