2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101260We present an averaging process for sections of a torsor under a unipotent group. This process allows one to integrate local sections of such a torsor into a global simplicial section. The results of this paper have applications to deformation quantization of algebraic varieties.11 pages, 1 eps figure, some xypic figures. Final version, to appear in Representation TheoryRepresentation TheoryAlgebraic GeometryPrimary: 14L30; Secondary: 18G30, 20G15text