COVARIANT SUPPLEMENTATION SCHEME FOR INFINITELY REDUCIBLE FIRST CLASSCONSTRAINTS

For a rather broad class of dynamical systems subject to mixed fermion ic first and second class constraints or infinitely reducible first cl ass constraints (IR1C), a manifestly covariant scheme of supplementati on of IR1C to irreducible ones is proposed. For a model with IR1C only , an application of the scheme leads to a system with covariantly spli tted and irreducible first and second class constraints. Modified Lagr angian formulations for the Green-Schwarz superstring, Casalbuoni-Brin k-Schwarz superparticle and Siegel superparticle, which reproduce the supplementation scheme, are suggested.