2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79086We modify the Hochschild $ϕ$-map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group scheme which leads to a geometric construction of unrestricted representations. For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotent p-character.Representation TheoryAlgebraic Geometrytext