{
  "id": "1408.4022",
  "version": "v2",
  "published": "2014-08-18T14:34:54.000Z",
  "updated": "2014-08-23T09:28:48.000Z",
  "title": "A Note on Induction in Type D Weyl Groups",
  "authors": [
    "Jay Taylor"
  ],
  "comment": "8 pages; (v2) made some typographical changes and added the type D branching rule as a corollary",
  "categories": [
    "math.RT"
  ],
  "abstract": "For any ordinary irreducible character of a maximal reflection subgroup of type $D_aD_b$ of a type $D$ Weyl group we give an explicit decomposition of the induced character in terms of Littlewood-Richardson coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-18T14:34:54.000Z",
      "comment": "7 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-23T09:28:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20G40"
    ],
    "keywords": [
      "weyl group",
      "maximal reflection subgroup",
      "littlewood-richardson coefficients",
      "ordinary irreducible character",
      "explicit decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.4022T"
    }
  }
}