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arxiv: 0911.3562 · v2 · submitted 2009-11-18 · 🧮 math.QA · math.RT

Epsilon Systems on Geometric Crystals of Type A_n

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keywords epsilongeometrictypeactioncertaincrystalcrystalsequipped
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We introduce an epsilon system on a geometric crystal of type $A_n$, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant under the action of tropical R maps.

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