2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96206This paper studies the loop algebras that arise from pairs consisting of a symmetrizable Kac-Moody Lie algebra $\g$ and a finite order automorphism $σ$ of $\g$. We obtain necessary and sufficient conditions for two such loop algebras to be isomorphic.Quantum AlgebraRepresentation Theory17B65text