Batista, E.Gomes, J. F.Lautenschleguer, I. J. [UNESP]2014-05-272014-05-271998-07-24Journal of Physics A: Mathematical and General, v. 31, n. 29, 1998.0305-4470http://hdl.handle.net/11449/65483In this paper we employ the construction of the Dirac bracket for the remaining current of sl(2) q deformed Kac-Moody algebra when constraints similar to those connecting the sl(2)-Wess-Zumino-Witten model and the Liouville theory are imposed to show that it satisfies the q-Virasoro algebra proposed by Frenkel and Reshetikhin The crucial assumption considered in our calculation is the existence of a classical Poisson bracket algebra induced in a consistent manner by the correspondence principle, mapping the quantum generators into commuting objects of classical nature preserving their algebra.engArtigo10.1088/0305-4470/31/29/001Acesso restrito2-s2.0-0032563064