Crystals from 5-vertex ice models

J. Lorca Espiro, Luke Volk

Published 2017-04-20Version 1

Given a partition $\lambda$ corresponding to a dominant integral weight of $\mathfrak{sl}_n$, we define the structure of crystal on the set of 5-vertex ice models satisfying certain boundary conditions associated to $\lambda$. We then show that the resulting crystal is isomorphic to that of the irreducible representation of highest weight $\lambda$.