{
  "id": "1911.10957",
  "version": "v1",
  "published": "2019-11-25T14:58:11.000Z",
  "updated": "2019-11-25T14:58:11.000Z",
  "title": "On Combinatorial Models for Affine Crystals",
  "authors": [
    "Cristian Lenart",
    "Adam Schultze"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We biject two combinatorial models for tensor products of (single-column) Kirillov-Reshetikhin crystals of any classical type $A-D$: the quantum alcove model and the tableau model. This allows us to translate calculations in the former model (of the energy function, the combinatorial $R$-matrix, etc.) to the latter, which is simpler.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-25T14:58:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial models",
      "affine crystals",
      "quantum alcove model",
      "tensor products",
      "tableau model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}