Relevement geometrique de la base canonique et involution de Schützenberger

Details Relevement geometrique de la base canonique et involution de Schützenberger Relevement geometrique de la base canonique et involution de Schützenberger

2003-09-25

arxiv.org/abs/math/0309424v1

Mathematics

Representation Theory

5 pages, in French

Scientific paper

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 Zelevinsky
on the geometric lifting.

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