{
  "id": "0712.2837",
  "version": "v1",
  "published": "2007-12-17T22:43:12.000Z",
  "updated": "2007-12-17T22:43:12.000Z",
  "title": "Voting, the symmetric group, and representation theory",
  "authors": [
    "Zajj Daugherty",
    "Alexander K. Eustis",
    "Gregory Minton",
    "Michael E. Orrison"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied $\\mathbb{Q}S_n$-modules. By using only a handful of simple combinatorial objects (e.g., tabloids) and some basic ideas from representation theory (e.g., Schur's Lemma), this allows us to recast and extend some well-known results in the field of voting theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-17T22:43:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91B12",
      "20C30"
    ],
    "keywords": [
      "representation theory",
      "symmetric group",
      "simple combinatorial objects",
      "well-known results",
      "basic ideas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.2837D"
    }
  }
}