Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties
نویسنده
چکیده
In the sln case, A. Berenstein and A. Zelevinsky studied in [3] the Schützenberger involution in terms of Lusztig’s canonical basis. We generalize their construction and formulas for any semisimple Lie algebra. We use the geometric lifting of the canonical basis, on which an analogue of the Schützenberger involution can be given. As an application, we construct semitoric degenerations of Richardson varieties, following a method of P. Caldero, [5].
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تاریخ انتشار 2005