SPLIT INVOLUTION COUPLED TO ACTUAL GAUGE-SYMMETRY

The split involution quantization scheme, proposed previously for pure second class constraints only, is extended to cover the case of the p resence of irreducible first class constraints. The explicit Sp(2) sym metry property of the formalism is retained. The constraint-algebra-ge nerating equations are formulated and the unitarizing Hamiltonian is c onstructed. Physical operators and states are defined in the sense of the new equivalence criterion which is a natural counterpart of Dirac' s weak equality concept as applied to the first class quantities.