Seminarium Teorii Względności i Grawitacji

We introduce Lorentzian EPRL map assigning invariants of the SL(2,C) group to invariants of the SU(2) group with the lowest spins. We prove that if the EPRL map is injective for the tensor product of three arbitrary irreducible representations of the SL(2,C) group from the main series of representations it is also injective for the tensor product of four representations with non-equal spins and for the tensor product of five or more representations with arbitrary spins.