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arXiv · 0711.0071

A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C

Satoshi Naito·Daisuke Sagaki
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Abstract

We give an explicit description of the (lowering) Kashiwara operators on Mirković-Vilonen polytopes in types $B$ and $C$, which provides a simple method for generating Mirković-Vilonen polytopes inductively. This description can be thought of as a modification of the original Anderson-Mirković conjecture, which Kamnitzer proved in the case of type $A$, and presented a counterexample in the case of type $C_{3}$.

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Satoshi Naito, Daisuke Sagaki. 2008-02-12. A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C. https://arxiv.org/abs/0711.0071

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