A more general representation of the Poincare group where translation generators are generalized by P(mu) = i partial derivative(mu), + kgamma(mu)[(l +/- gamma5)/2] is discussed. The corresponding spinor gauge field is studied in detail. It is shown that the Lagrangian of fermion keeps its form invariant under the above translation. An additional hidden symmetry of the Dirac field leads to a prediction of existence of an intrinsic energy-momentum for the fermion.
