Crystals from 5-vertex ice models

J. Lorca Espiro; Luke Volk

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arXiv · 1704.06236

Crystals from 5-vertex ice models

J. Lorca Espiro·Luke Volk

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Abstract

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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BibTeX RIS

J. Lorca Espiro, Luke Volk. 2017-04-20. Crystals from 5-vertex ice models. https://arxiv.org/abs/1704.06236

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