Three algebraic structures of quantum projective (sl (2, C)-invariant) field theory

This paper is devoted to a systematic treatment of three algebraic structures of quantum projective (sl(2, C)-invariant) field theory: the operator algebra Vert (sl(2, C), the infinite dimensional R-matric Rproj(u) and deformation Tℎ(R) of the algebra T(R) of weighted shift operators, connected with an expansion of the renormalized poinwise product of the vertex operator fields