2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67770Using groupoid $S^1$-central extensions, we present, for a compact simple Lie group $G$, an infinite dimensional model of $S^1$-gerbe over the differential stack $G/G$ whose Dixmier-Douady class corresponds to the canonical generator of the equivariant cohomology $H_G^3 (G, Z)$.6 pagesSymplectic GeometryMathematical PhysicsAlgebraic GeometryLogicEquivariant gerbes over compact simple Lie groupstext