%0 Journal Article
%T Epsilon Systems on Geometric Crystals of Type $A_n$
%A Toshiki Nakashima
%J Mathematics
%D 2009
%I arXiv
%R 10.3842/SIGMA.2010.023
%X 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.
%U http://arxiv.org/abs/0911.3562v2