{
  "id": "1509.07443",
  "version": "v1",
  "published": "2015-09-24T17:21:12.000Z",
  "updated": "2015-09-24T17:21:12.000Z",
  "title": "Pieri type rules and $Gl(2|2)$ tensor products",
  "authors": [
    "Th. Heidersdorf",
    "R. Weissauer"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category $Rep(Gl_{0})$. We use this formula to compute the tensor product between any two maximal atypical irreducible $Gl(2|2)$-representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-24T17:21:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B20"
    ],
    "keywords": [
      "tensor product",
      "pieri type rules",
      "delignes interpolating category",
      "closed formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907443H"
    }
  }
}