2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58269The SL(3,C)-covariant 9-dimensional equation for a free 3-spinor particle is transformed into the Dirac-like form (p_Aδ^A - M)Ψ=0. However, the corresponding δmatrices do not satisfy the Dirac algebra. It is shown that δ^A lead to a Finslerian generalization of the Duffin-Kemmer algebra. The Appendix contains an explicit realization of the δmatrices.8 pages, LaTeX, no figuresMathematical PhysicsOn SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebratext