{
  "id": "1908.03028",
  "version": "v1",
  "published": "2019-08-08T12:01:59.000Z",
  "updated": "2019-08-08T12:01:59.000Z",
  "title": "Branching rules for cell modules on a tower of the partition algebras",
  "authors": [
    "Pei Wang"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "Partition algebras with non-zero parameters are cellularly stratified and thus have the features of both cellular algebras and stratified algebras. Also, partition algebras form a tower of algebras. In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a tower of the partition algebras. This also allows us to calculate the structure constants of the Grothendieck ring of the tower.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-08T12:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cell modules",
      "branching rules",
      "partition algebras form",
      "cellular algebras",
      "non-zero parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}