{
  "id": "1502.01868",
  "version": "v1",
  "published": "2015-02-06T12:22:09.000Z",
  "updated": "2015-02-06T12:22:09.000Z",
  "title": "Branching graphs for finite unitary groups in non-defining characteristic",
  "authors": [
    "Thomas Gerber",
    "Gerhard Hiss"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that the modular branching rule (in the sense of Harish-Chandra) on unipotent modules for finite unitary groups is piecewise described by particular connected components of the crystal graph of well-chosen Fock spaces, under favourable conditions. Besides, we give the combinatorial formula to pass from one to the other in the case of modules arising from cuspidal modules of defect 0. This partly proves a recent conjecture of Jacon and the authors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-06T12:22:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "20C08",
      "20G42",
      "17B37"
    ],
    "keywords": [
      "finite unitary groups",
      "non-defining characteristic",
      "branching graphs",
      "well-chosen fock spaces",
      "cuspidal modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}