2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35285The covering of the affine symmetry group, a semidirect product of translations and special linear transformations, in $D \geq 3$ dimensional spacetime is considered. Infinite dimensional spinorial representations on states and fields are presented. A Dirac-like affine equation, with infinite matrices generalizing the $γ$ matrices, is constructed.General Relativity and Quantum Cosmologytext