DKP algebra, DKP equation, and differential forms

It is well known that the Clifford algebras and the Dirac equation have a representation in terms of differential forms known as the Kähler-Atiyah algebra and the Dirac-Kähler equation, respectively. In this paper, we have introduced a new product of differential p-forms and obtained a representation in terms of differential forms for the DKP algebra and for the DKP equation. We have studied the properties of this new product in some detail and obtained, among other results, the action of the rotation group in this formalism. We have also obtained a conversed current and a Lagrangian for our differential forms version of the DKP equation.