English

Epsilon Systems on Geometric Crystals of Type $A_n$

Quantum Algebra 2010-03-22 v2 Representation Theory

Abstract

We introduce an epsilon system on a geometric crystal of type AnA_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.

Keywords

Cite

@article{arxiv.0911.3562,
  title  = {Epsilon Systems on Geometric Crystals of Type $A_n$},
  author = {Toshiki Nakashima},
  journal= {arXiv preprint arXiv:0911.3562},
  year   = {2010}
}