2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198771We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in terms of anyons defined on a two-dimensional lattice, the deformation parameter $q$ being related to the statistical parameter $ν$ of the anyons by $q = e^{iπν}$. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel fermionic construction of undeformed affine Lie algebra.13p LaTeX Document (should be run twice)High Energy Physics - TheoryQuantum Algebratext