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

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

2009-12-03

arxiv.org/abs/0912.0586v2

Mathematics

Quantum Algebra

Scientific paper

In this paper, we give a polytopal estimate of Mirkovi\'c-Vilonen polytopes
lying in a Demazure crystal in terms of Minkowski sums of extremal
Mirkovi\'c-Vilonen polytopes. As an immediate consequence of this result, we
provide a necessary (but not sufficient) polytopal condition for a
Mirkovi\'c-Vilonen polytope to lie in a Demazure crystal.

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