{
  "id": "1811.03589",
  "version": "v1",
  "published": "2018-11-08T18:21:56.000Z",
  "updated": "2018-11-08T18:21:56.000Z",
  "title": "Cellular Structure of Wreath Product Algebras",
  "authors": [
    "Reuben Green"
  ],
  "comment": "20 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We apply the method of iterated inflations to show that the wreath product of a cellular algebra with a symmetric group is cellular, and obtain descriptions of the cell and simple modules together with a semisimplicity condition for such wreath products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-08T18:21:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wreath product algebras",
      "cellular structure",
      "cellular algebra",
      "symmetric group",
      "simple modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}