We study all possible deformations of the Maxwell algebra. In D = d + 1 6= 3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d+ 1, 1)⊕ so(d, 1) or to so(d, 2)⊕ so(d, 1) depending on the signs of the deformation parameter. We construct in the dS(AdS) space a model of massive particle interacting with Abelian vector field via non-local Lorentz force. I...
