Abstract
Let 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 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).
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