2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206616A systematic study of non-trivial cubic extensions of the four-dimensional Poincaré algebra is undertaken. Explicit examples are given with various techniques (Young tableau, characters etc).Contributed to the XII International Conference on Symmetry Methods in Physics (SYMPHYS-XII), Yerevan, Armenia, July 03-08, 2006High Energy Physics - TheoryMathematical Physicstext