Relevement geometrique de la base canonique et involution de Sch\"utzenberger
Abstract
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 Zelevinsky on the geometric lifting.
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