Operator quantization and abelization of dynamical systems with first class constraints

A consequent solution of the problem of operator canonical quantization of relativistic dynamic Bose-Fermi-systems with first rank constraints generating the open (of any grade) and reducible (of any stage) gauge algebra is given. The generation of operator gauge algebra is realized in the framework of operator version of the coresponding generating equations. The unitarizing Hamiltonian is constructed of three main ingredients: fermion and boson creation operators of the gauge algebra and operator of gauge fermion. In general case of any reducibility stage the regular procedure of locking and abelization of the operator gauge algebra is formulated