2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153499We consider remarkable central elements of the universal enveloping algebra of the general linear algebra which we call quantum immanants. We express them in terms of generators $E_{ij}$ and as differential operators on the space of matrices. These expressions are a direct generalization of the classical Capelli identities. They result in many nontrivial properties of quantum immanants.Quantum AlgebraQuantum Immanants and Higher Capelli Identitiestext