2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79087We generalize I. Frenkel's orbital theory for non twisted affine Lie algebras to the case of twisted affine Lie algebras using a character formula for certain non-connected compact Lie groups.29 Pages, LatexRepresentation Theory17B67 (Primary) 22E67, 22E46 (Secondary)Weyl's character formula for non-connected Lie groups and orbital theory for twisted affine Lie algebrastext