On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra

Details On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra

1999-01-15

arxiv.org/abs/math-ph/9901007v1

Gravitation and Cosmology, Vol.1, No.3, p.255 (1995)

Physics

Mathematical Physics

8 pages, LaTeX, no figures

Scientific paper

The SL(3,C)-covariant 9-dimensional equation for a free 3-spinor particle is
transformed into the Dirac-like form (p_A\delta^A - M)\Psi=0. However, the
corresponding \delta matrices do not satisfy the Dirac algebra. It is shown
that \delta^A lead to a Finslerian generalization of the Duffin-Kemmer algebra.
The Appendix contains an explicit realization of the \delta matrices.

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