{
  "id": "2107.08614",
  "version": "v1",
  "published": "2021-07-19T05:01:25.000Z",
  "updated": "2021-07-19T05:01:25.000Z",
  "title": "Perfectness of Kirillov-Reshetikhin Crystals $B^{r,s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with a minuscule node $r$",
  "authors": [
    "Toya Hiroshima"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove the perfectness of Kirillov-Reshetikhin crystals $B^{r,s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with $r$ being the minuscule node and $s\\geq 1$ using the polytope model of KR crystals introduced by Jang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T05:01:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "05E10",
      "17B25"
    ],
    "keywords": [
      "kirillov-reshetikhin crystals",
      "minuscule node",
      "perfectness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}