2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38785Following standard methods we explore the construction of the discrete Poincare group, the semidirect product of discrete translations and integral Lorentz transformations, using the Wigner-Mackey construction restricted to the momentum and position space on the lattice. The orbit condition, irreducibility and assimptotic limit are discussed.Proceedings: B. Gruber, M. Ramek eds. Symmetries in Science X (Plenum, N.Y. 1998) pp. 179-196. LaTeX, 16 pages, 1 eps figure (late submission)High Energy Physics - Latticetext