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according admits the components arbitrary bi-1-form distribution bi-1-tensor bi-p-form bitensors call laplacian Cauchy charge conjugate complex Compte rendus Acad const contravariant 1-spinor curvature tensor defined differential operators Dirac adjoint Dirac adjunction Dirac bi-2-spinor Dirac field Dirac matrices Dirac operator easy to deduce easy to prove elementary kernels equation 9.1 field equation field F follows future resp given space-time gravitational group Spin hyperbolic operator intersection isomorphism Klein-Gordan operator l,l)-spinors Leray Let us consider Lie algebra linear Lorentz condition Lorentz group mapping metric tensor Moreover null covariant derivative orthonormalized frames p-form p-tensor Paris Petiau field Petiau-Duffin-Kemmer Theory principal bundle properties Ricci identity Ricci tensor riemannian manifold rigorous solution scalar distribution scalar propagator skew-symmetrical with respect spinor 2-form spinor frame spinor of type support compact symmetric tensor symmetrical propagator system of Dirac tensor distribution tensor product tensor propagators tensor-spinor type l,l uniqueness theorem unit element vector space vector-spinor