WORLD SPINORS REVISITED

World spinors are objects that transform w.r.t. double covering group <(Diff)over bar>(4, R) of tie Group of General Coordinate Transformati ons. The basic mathematical results and the corresponding physical int erpretation concerning these, infinite-dimensional, spinorial represen tations are reviewed. The role of groups Diff(4, R), GA(4, R), GL(4, R ), SL(4, R), SO(3, 1) and the corresponding covering groups is pointed out. New results on the infinite dimensionality of spinorial represen tations, explicit construction of the <(SL)over bar>(4, R) representat ions in the basis of finite-dimensional non-unitary SL(2, C) represent ations, SL(4, R) representation regrouping of tensorial and spinorial fields of an arbitrary spin lagrangian field theory, as well as its SL (5, R) generalization in the case of infinite-component world spinor a nd tensor field theories are presented.