Epsilon Systems on Geometric Crystals of type A_n

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.

Bibliographic Details
Main Author: Toshiki Nakashima
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.023