Journal of Lie Theory 28 (2018), No. 4, 1119--1136
Copyright Heldermann Verlag 2018
Crystals from 5-Vertex Ice Models
J. Lorca Espiro
Dep. de Física Matemática, Instituto de Física, Universidade de Sao Paulo, Brazil
and: Dept. Math. Statistics, University of Ottawa, Ottawa, Canada
j.lorca.espiro@usp.br
Luke Volk
Dept. Math. Statistics, University of Ottawa, Ottawa, Canada
lvolk005@uottawa.ca
Given a partition λ corresponding to a dominant integral weight of sln, we define the structure of crystal on the set of 5-vertex ice models satisfying certain boundary conditions associated to λ. We then show that the resulting crystal is isomorphic to that of the irreducible representation of highest weight λ.
Keywords: Ice models, crystals.
MSC: 17B37, 17B10
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