Journal of Lie Theory

no. 4
Crystals from 5-Vertex Ice Models
J. Lorca Espiro1, 2; Luke Volk2
1Dep. de Física Matemática, Instituto de Física, Universidade de Sao Paulo, Brazil
2Dept. Math. Statistics, University of Ottawa, Ottawa, Canada
Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 1119-1136
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.
DOI: 10.5802/jolt.1041
Classification: 17B37, 17B10
Keywords: Ice models, crystals

J. Lorca Espiro  1 , 2 ; Luke Volk  2

1 Dep. de Física Matemática, Instituto de Física, Universidade de Sao Paulo, Brazil
2 Dept. Math. Statistics, University of Ottawa, Ottawa, Canada 
J. Lorca Espiro; Luke Volk. Crystals from 5-Vertex Ice Models. Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 1119-1136. doi: 10.5802/jolt.1041
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     title = {Crystals from {5-Vertex} {Ice} {Models}},
     journal = {Journal of Lie Theory},
     pages = {1119--1136},
     year = {2018},
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     number = {4},
     doi = {10.5802/jolt.1041},
     zbl = {1448.17018},
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}
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