  In this paper we obtain a 2+2 double null Hamiltonian description of General
Relativity using only the (complex) SO(3) connection and the components of the
complex densitised self-dual bivectors. We carry out the general canonical
analysis of this system and obtain the first class constraint algebra entirely
in terms of the self-dual variables. The first class algebra forms a Lie
algebra and all the first class constraints have a simple geometrical
interpretation.
