{
  "id": "2405.11232",
  "version": "v1",
  "published": "2024-05-18T09:00:39.000Z",
  "updated": "2024-05-18T09:00:39.000Z",
  "title": "Multiplication formula for Hernandez and Leclerc's quivers with potentials",
  "authors": [
    "Yingjin Bi"
  ],
  "comment": "Any comment are welcome",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "In this paper, we study multiplication formula of $F$-polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated $q$-characters of some real simple modules over a quantum affine group $U_q(\\widehat{\\mathfrak{g}})$ can be expressed in terms of such $F$-polynomials, one can describe the product of two simple modules over $U_q(\\widehat{\\mathfrak{g}})$ using this multiplication formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-18T09:00:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "13F60",
      "18D10"
    ],
    "keywords": [
      "leclercs quivers",
      "potentials",
      "real simple modules",
      "quantum affine group",
      "study multiplication formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}