2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112916For a simple complex Lie group G the connected components of the moduli space of G-bundles over an elliptic curve are weighted projective spaces. In this note we will provide a new proof of this result using the invariant theory of Kac-Moody groups, in particular the action of the (twisted) Coxeter element on the root system of G.Representation TheoryAlgebraic Geometrytext