%0 Journal Article %T On the infinite dimensional hidden symmetries. II. $q_R$-conformal modular functor %A Denis V. Juriev %J Mathematics %D 1997 %I arXiv %X The article is devoted to the $q_R$-conformal modular functors, which being ``deformations'' of the conformal modular functor (the projective representation of the category $Train(Diff_+(S^1))$, the train of the group $Diff_+(S^1)$ of all orientation preserving diffeomorphisms of a circle) in the class of all projective modular functors (the projective representations of the category $Train(PSL(2,R))$, the train of the projective group $PSL(2,R)$), may be regarded as its ``Berezin quantizations''. %U http://arxiv.org/abs/funct-an/9701009v1