2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36615The representation theory of non-centrally extended Lie algebras of Noether symmetries, including spacetime diffeomorphisms and reparametrizations of the observer's trajectory, has recently been developped. It naturally solves some long-standing problems in quantum gravity, e.g. the role of diffeomorphisms and the causal structure, but some new questions also arise.14 pages, LaTexGeneral Relativity and Quantum CosmologyThe diffeomorphism algebra approach to quantum gravitytext