{
  "id": "1704.06236",
  "version": "v1",
  "published": "2017-04-20T17:14:34.000Z",
  "updated": "2017-04-20T17:14:34.000Z",
  "title": "Crystals from 5-vertex ice models",
  "authors": [
    "J. Lorca Espiro",
    "Luke Volk"
  ],
  "categories": [
    "math.RT"
  ],
  "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 $\\lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-20T17:14:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dominant integral weight",
      "highest weight",
      "boundary conditions",
      "resulting crystal",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}