2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52467We construct the vector fields associated to the space-time invariances of relativistic particle theory in flat Euclidean space-time. We show that the vector fields associated to the massive theory give rise to a differential operator realization of the Poincare algebra, while the vector fields associated to the massless theory, including the space-time supersymmetric sector, allow extensions of the conformal algebra in terms of commutators.16 pages, no figuresHigh Energy Physics - Theorytext