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arXiv · 0912.0586

Polytopal Estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal

Syu Kato·Satoshi Naito·Daisuke Sagaki
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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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Syu Kato, Satoshi Naito, Daisuke Sagaki. 2009-12-24. Polytopal Estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal. https://arxiv.org/abs/0912.0586

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