{
  "id": "1911.11159",
  "version": "v1",
  "published": "2019-11-25T19:01:03.000Z",
  "updated": "2019-11-25T19:01:03.000Z",
  "title": "The equivariant Ehrhart theory of the permutahedron",
  "authors": [
    "Federico Ardila",
    "Mariel Supina",
    "Andrés R. Vindas-Meléndez"
  ],
  "comment": "14 pages, 2 figures, 3 tables, comments welcomed",
  "categories": [
    "math.CO"
  ],
  "abstract": "Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory of the permutahedron, and we prove his Effectiveness Conjecture in this special case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-25T19:01:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E18",
      "52A38",
      "52B15"
    ],
    "keywords": [
      "permutahedron",
      "equivariant ehrhart theory enumerates",
      "lattice points",
      "group action",
      "effectiveness conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}