Relativistic equations, solution of the Cauchy problem

The operators determined by vector fields are introduced. On the set of these operators finite-dimensional realization of the Fock operators for Fermi particles and the realization of the Lie algebra of the proper Poincare group are constructed. The Cauchy problem is solved for the first-order relativistic equations which are expressed in terms of operators of the outer derivative and generalized divergence. A theorem is proved for the dynamical invrariants of these equations