Relevement geometrique de la base canonique et involution de Sch
Geometrical lifting of the canonical base and Schutzenberger involution. Let G be a complex simply connected semisimple Lie group, and let BV be the canonical base of a Weyl module V of G. We calculate explicitely the action of the longest element w0 of the Weyl group on BV in terms of parametrizations. The method is based on results of Berenstein and Zelevinski (Invent. Math. 82 (2001) 77–128) on the geometric lifting. To cite this article: S. Morier-Genoud, C. R. Acad. Sci. Paris, Ser. I 337 (2003).  2003 Academie des sciences. Publie par Editions scientifiques et medicales Elsevier SAS. Tous droits reserves.