On covariant realizations of the Poincaré group P(1, 3)

We classify inequivalent realizations of the Poincaré group P(1, 3) of transformation of the space R1,3 x Cn. All inequivalent covariant realizations of the group P(1, 3) are constructed. As a by-product we get the exhaustive description of inequivalent realizations of the Lorentz group of transformations of the complex space Cn.