2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68679Let $G$ be a complex simply connected semisimple Lie group, and let $B_V$ be the canonical base of a Weyl module $V$ of $G$. We calculate explicitely the action of the longest element $w_0$ of the Weyl group on $B_V$ in terms of parametrizations. The method is based on results of Berenstein and Zelevinsky on the geometric lifting.5 pages, in FrenchRepresentation TheoryQuantum Algebratext