45 citations · 146 across the 27 of their papers we have counts for
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On tangent cones of Schubert varieties
Dmitry Fuchs, Alexandre Kirillov, Sophie Morier-Genoud +1
We consider tangent cones of Schubert varieties in the complete flag variety, and investigate the problem when the tangent cones of two different Schubert varieties coincide. We gi…
Representations of
Sophie Morier-Genoud
We study representations of the simple Lie antialgebra introduced by Ovsienko. We show that representations of are closely related to the famous ghost Casimir eleme…
Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties
Sophie Morier-Genoud
In 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 f…
Realisation of Lusztig cones
Philippe Caldero, Bethany Marsh, Sophie Morier-Genoud
The negative part of a quantised enveloping algebra associated to a simple Lie algebra possesses a canonical basis with favourable properties. Lusztig has assoc…