Geodesic
Crystals from 5-Vertex Ice Models
Journal of Lie theory, Tome 28 (2018) no. 4, pp. 1119-1136
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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.
Classification : 17B37, 17B10
Mots-clés : Ice models, crystals 
@article{JLT_2018_28_4_JLT_2018_28_4_a9,
     author = {J. Lorca Espiro and L. Volk},
     title = {Crystals from {5-Vertex} {Ice} {Models}},
     journal = {Journal of Lie theory},
     pages = {1119--1136},
     year = {2018},
     volume = {28},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_4_JLT_2018_28_4_a9/}
}
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J. Lorca Espiro; L. Volk. Crystals from 5-Vertex Ice Models. Journal of Lie theory, Tome 28 (2018) no. 4, pp. 1119-1136. http://geodesic.mathdoc.fr/item/JLT_2018_28_4_JLT_2018_28_4_a9/