2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95492A tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of this extension is also found in the dimensions $D=2,3,4$.7 pages, Latex. Contributed to 6th International Conference on Symmetry in Nonlinear Mathematical Physics (SYMMETRY-2005), Kiev, Ukraine, 20-26 June 2005High Energy Physics - Theorytext