On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra
Abstract
Description
The 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 figures
8 pages, LaTeX, no figures