  The Maxwell-covariant particle model is formulated in tensorial extended D=4
space-time (x_mu, z_{mu nu}) parametrized by ten-dimensional coset of D=4
Maxwell group, with added auxiliary Weyl spinors lambda_alpha, y^alpha. We
provide the Hamiltonian quantization of the model and demonstrate that first
class constraints modify the known equations obtained for massless higher spin
fields in flat tensorial space-time. We obtain the Maxwell-covariant field
equations for new infinite dimensional spin multiplets. The component fields
assigned to different spin values are linked by couplings proportional to
rescaled electromagnetic coupling constant \tilde e = em, where m is the
mass-like parameter introduced in our model. We discuss briefly the geometry of
our tensorial space-time with constant torsion and its relation with the
presence of constant electromagnetic background.
