{
  "id": "2409.02341",
  "version": "v1",
  "published": "2024-09-04T00:02:04.000Z",
  "updated": "2024-09-04T00:02:04.000Z",
  "title": "Combinatorial description of Lusztig $q$-weight multiplicity",
  "authors": [
    "Seung Jin Lee"
  ],
  "comment": "7 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We conjecture a precise relationship between Lusztig $q$-weight multiplicities for type $C$ and Kirillov-Reshetikhin crystals. We also define $\\mathfrak{gl}_n$-version of $q$-weight multiplicity for type $C$ and conjecture the positivity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-04T00:02:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10"
    ],
    "keywords": [
      "weight multiplicity",
      "combinatorial description",
      "conjecture",
      "kirillov-reshetikhin crystals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}