Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal (Q624330)
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| English | Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal |
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Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal (English)
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9 February 2011
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The authors give a polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal in terms of Minkowski sums of extremal Mirković-Vilonen polytopes. As a consequence, a necessary polytopal condition for a Mirković-Vilonen polytope to lie in a Demazure crystal is obtained.
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quantum group
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crystal basis
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crystal
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Mirković-Vilonen polytope
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Mirković-Vilonen cycle
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Demazure module
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Demazure crystal
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