A group theoretical approach to the canonical quantisation of gravity. II. Unitary representations of the canonical group

For pt.I see ibid., vol.1, p.621-32, 1984. Unitary representations of the canonical group C for quantum gravity, discussed in an earlier paper, are studied producing concrete operator realisations of the basic canonical fields e_A^B, pi _C^D of the theory together with its spatial diffeomorphism group covariance. The appropriate state functionals are concentrated on distributional triads and not smooth ones. In addition, for a class of these representations the distributional triads are also degenerate, a feature does not appear for the conventional canonical commutation relations and the weak-field perturbation framework.