  We redefine the gravitational angular momentum in the framework of the
teleparallel equivalent of general relativity. In similarity to the
gravitational energy-momentum, the new definition for the gravitational angular
momentum is coordinate independent. By considering the Poisson brackets in the
phase space of the theory, we find that the gravitational energy-momentum and
angular momentum correspond to a representation of the Poincar\'e group. This
result allows us to define Casimir type invariants for the gravitational field.
