
Journal of Lie Theory 28 (2018), No. 4, 11191136 Copyright Heldermann Verlag 2018 Crystals from 5Vertex 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 sl_{n}, we define the structure of crystal on the set of 5vertex 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 [ Fulltextpdf (181 KB)] for subscribers only. 