Kemmer–Duffin type equations in a five-dimensional Minkowski space

A complete analysis is given of Kemmer–Duffin type equations in a five-dimensional Minkowski space. A concrete realization is found for the infinitesimal operators of the inhomogeneous de Sitter group $\mathscr P$ (1,4); it is connected with the 6-, 15-, and 20-dimensional matrices tip of the Kemmer–Duffin–Petiau algebra in a five-dimensional space. An effective method is proposed for realizing all representations of the Kemmer–Duffin–Petiau algebra in spaces of arbitrary dimensions.