{
  "id": "1109.5040",
  "version": "v2",
  "published": "2011-09-23T11:47:32.000Z",
  "updated": "2011-10-25T07:59:16.000Z",
  "title": "The Linear Ordering Polytope via Representations",
  "authors": [
    "Lukas Katthän"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $P_n$ denote the $n$-th linear ordering polytope. We define projections from $P_n$ to the $n$-th permutahedron and to the $(n-1)$-st linear ordering polytope. Both projections are equivariant with respect to the natural $\\Sn$-action and they project to orthogonal subspaces. In particular the second projection defines an $S_n$-action in $P_{n-1}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-25T07:59:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B12"
    ],
    "keywords": [
      "representations",
      "second projection defines",
      "th linear ordering polytope",
      "st linear ordering polytope",
      "define projections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5040K"
    }
  }
}