Epsilon Systems on Geometric Crystals of Type $A_n$

Abstract

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.

Cited by in corpus (1)

• Geometric Crystals on Flag Varieties and Unipotent Subgroups of Classical Groups