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Crystals from 5-vertex ice models
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Crystals from 5-vertex ice models
classification
math.RT
keywords
lambdacrystalmodelsvertexweightassociatedboundarycertain
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Given a partition $\lambda$ corresponding to a dominant integral weight of $\mathfrak{sl}_n$, we define the structure of crystal on the set of 5-vertex ice models satisfying certain boundary conditions associated to $\lambda$. We then show that the resulting crystal is isomorphic to that of the irreducible representation of highest weight $\lambda$.
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