{
  "id": "1212.4442",
  "version": "v1",
  "published": "2012-12-18T17:47:14.000Z",
  "updated": "2012-12-18T17:47:14.000Z",
  "title": "Polytopes associated to Dihedral Groups",
  "authors": [
    "Barbara Baumeister",
    "Christian Haase",
    "Benjamin Nill",
    "Andreas Paffenholz"
  ],
  "categories": [
    "math.CO",
    "math.GR",
    "math.RT"
  ],
  "abstract": "In this note we investigate the convex hull of those $n \\times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-18T17:47:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B35",
      "52B12",
      "05E10",
      "52B05",
      "52B20",
      "90C27"
    ],
    "keywords": [
      "dihedral groups",
      "complete facet description",
      "convex hull",
      "permutation matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4442B"
    }
  }
}