2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56764New mathematical objects called Finslerian N-spinors are discussed. The Finslerian N-spinor algebra is developed. It is found that Finslerian N-spinors are associated with an N^2-dimensional flat Finslerian space. A generalization of the epimorphism SL(2,C) --> O^\uparrow_+(1,3) to a case of the group SL(N,C) is constructed. Particular examples of Finslerian N-spinors for N=2,3 are considered in detail.14 pages, no figures, LaTeX-2e, to be published in the International Journal of Theoretical PhysicsMathematical Physicstext