Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666749 | Advances in Mathematics | 2011 | 31 Pages |
Abstract
In this paper, we give a polytopal estimate of Mirković–Vilonen polytopes lying in a Demazure crystal in terms of Minkowski sums of extremal Mirković–Vilonen polytopes. As an immediate consequence of this result, we provide a necessary (but not sufficient) polytopal condition for a Mirković–Vilonen polytope to lie in a Demazure crystal.
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