2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68727We study the nonnegative part \bar{G_{>0}} of the De Concini-Procesi compactification of a reductive algebraic group G, as defined by Lusztig. Using positivity properties of the canonical basis and parametrization of flag varieties, we will give an explicit description of \bar{G_{>0}}. This answers the question of Lusztig in [L4]. We will also prove that \bar{G_{>0}} has a cell decomposition which was conjectured by Lusztig.23 pages. Some corrections. References updatedRepresentation Theory20G20; 14M15text