  We propose to describe higher spins as invariant subspaces of the Casimir
operators of the Poincar\'{e} Group, P^{2}, and the squared Pauli-Lubanski
operator, W^{2}, in a properly chosen representation, \psi(p) (in momentum
space), of the Homogeneous Lorentz Group. The resulting equation of motion for
any field with s\neq0 is then just a specific combination of the respective
covariant projectors. We couple minimally electromagnetism to this equation and
show that the corresponding wave fronts of the classical solutions propagate
causally. Furthermore, for (s,0)+(0,s) representations, the formalism predicts
the correct gyromagnetic factor, g_{s}=1/s. The advocated method allows to
describe any higher spin without auxiliary conditions and by one covariant
matrix equation alone. This master equation is only quadratic in the momenta
and its dimensionality is that of \psi(p). We prove that the suggested master
equation avoids the Velo-Zwanziger problem of superluminal propagation of
higher spin waves and points toward a consistent description of higher spin
quantum fields.
