Poincaré partially integrable local representations and mass-spectrum

An example is given of an irreducible representation of a finite-dimensional Lie algebra containing the Poincaré Lie algebra and giving rise to isolated positive masses. In addition the representation is Poincaré partially integrable (which assures the continuous physical spectrum for the energy- momentum vector) and Poincaré-covariant in a weak sense.A connection between this example and some recently published impossibility theorems is shown, and conclusions about a possible future work in this domain are also drawn.