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

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dc.creatorMorier-Genoud, Sophie
dc.date2005-04-26
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:39:51Z
dc.date.available2026-07-07T06:39:51Z
dc.descriptionIn 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]
dc.description22 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0504538
dc.identifierhttp://arxiv.org/abs/math/0504538
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101232
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectMSC: 14M25, 16W35, 14M15
dc.titleGeometric lifting of the canonical basis and semitoric degenerations of Richardson varieties
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