2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59243We show that the deformed Virasoro algebra specializes in a certain limit to Lepowsky-Wilson's Z-algebra. This leads to a free field realization of the affine Lie algebra \hat{sl_2} which respects the principal gradation. We discuss some features of this bosonization including the screening current and vertex operators.8 pagesQuantum AlgebraMathematical Physicstext