Crystals from 5-vertex ice models
Representation Theory
2017-04-21 v1
Abstract
Given a partition corresponding to a dominant integral weight of , we define the structure of crystal on the set of 5-vertex ice models satisfying certain boundary conditions associated to . We then show that the resulting crystal is isomorphic to that of the irreducible representation of highest weight .
Cite
@article{arxiv.1704.06236,
title = {Crystals from 5-vertex ice models},
author = {J. Lorca Espiro and Luke Volk},
journal= {arXiv preprint arXiv:1704.06236},
year = {2017}
}