Geodesic
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, Tome 28 (2018) no. 4, pp. 1119-1136

Voir la notice de l'article provenant de la source Heldermann Verlag

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

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, Tome 28 (2018) no. 4, pp. 1119-1136. http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a9/
@article{JOLT_2018_28_4_a9,
     author = {J. Lorca Espiro and Luke 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/JOLT_2018_28_4_a9/}
}
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