2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63664We interpret and develop a theory of loop algebras as torsors (principal homogeneous spaces) over Laurent polynomial rings . As an application, we recover Kac's realization of affine Kac-Moody Lie algebras.8 pages Corrected some typos and changed some notation. Minor generalization of one resultRepresentation Theorytext