Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101232In the sl\_n case, A. Berenstein and A. Zelevinsky studied the Schützenberger involution in terms of Lusztig's canonical basis, [3]. We generalize their construction and formulas for any semisimple Lie algebra. We use for this 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, [6]22 pages, 3 figuresRepresentation TheoryAlgebraic GeometryMSC: 14M25, 16W35, 14M15Geometric lifting of the canonical basis and semitoric degenerations of Richardson varietiestext