Journal of Lie Theory

no. 4
Crystals from 5-Vertex Ice Models
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 
@article{JOLT_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},
     doi = {10.5802/jolt.1041},
     zbl = {1448.17018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1041/}
}
TY  - JOUR
AU  - J. Lorca Espiro
AU  - L. Volk
TI  - Crystals from 5-Vertex Ice Models
JO  - Journal of Lie Theory
PY  - 2018
SP  - 1119
EP  - 1136
VL  - 28
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1041/
DO  - 10.5802/jolt.1041
ID  - JOLT_2018_28_4_a9
ER  - 
%0 Journal Article
%A J. Lorca Espiro
%A L. Volk
%T Crystals from 5-Vertex Ice Models
%J Journal of Lie Theory
%D 2018
%P 1119-1136
%V 28
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1041/
%R 10.5802/jolt.1041
%F JOLT_2018_28_4_a9
J. Lorca Espiro; L. Volk. Crystals from 5-Vertex Ice Models. Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 1119-1136. doi: 10.5802/jolt.1041

Cited by Sources: