{
  "id": "2011.14506",
  "version": "v1",
  "published": "2020-11-30T02:11:28.000Z",
  "updated": "2020-11-30T02:11:28.000Z",
  "title": "On Grothendieck ring of the sequence of walled Brauer algebras",
  "authors": [
    "Pei Wang",
    "Yanbo Li"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This also allows us to calculate the structure constants of multiplication over the Grothendieck ring of the sequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T02:11:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "walled brauer algebras",
      "grothendieck ring",
      "structure constants",
      "cell modules",
      "diagrammatic approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}