{
  "id": "2310.07231",
  "version": "v1",
  "published": "2023-10-11T06:42:23.000Z",
  "updated": "2023-10-11T06:42:23.000Z",
  "title": "A note on the structure coefficients of the centraliser algebra",
  "authors": [
    "Omar Tout"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "In this note we generalize the definition of partial permutations of Ivanov and Kerov and we build a universal algebra which projects onto the m-centraliser algebra defined by Creedon. We use it to present a new proof for the polynomiality property of the structure coefficients of the m-centraliser algebra and to obtain upper bounds for the polynomial degrees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T06:42:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "structure coefficients",
      "m-centraliser algebra",
      "upper bounds",
      "partial permutations",
      "polynomiality property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}