Abstract
We show that generalized orbital varieties for Mirković–Vybornov slices can be indexed by semi-standard Young tableaux, and, via the Mirković–Vybornov isomorphism [MV19], can be identified with Mirković–Vilonen cycles, such that the (combinatorial) Lusztig datum of a generalized orbital variety, which it inherits from its tableau, is equal to the (geometric) Lusztig datum of its Mirković–Vilonen cycle.
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DRANOWSKI, A. GENERALIZED ORBITAL VARIETIES FOR MIRKOVIĆ–VYBORNOV SLICES AS AFFINIZATIONS OF MIRKOVIĆ–VILONEN CYCLES. Transformation Groups 27, 73–87 (2022). https://doi.org/10.1007/s00031-020-09587-z
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DOI: https://doi.org/10.1007/s00031-020-09587-z