{
  "id": "1507.07131",
  "version": "v1",
  "published": "2015-07-25T20:21:23.000Z",
  "updated": "2015-07-25T20:21:23.000Z",
  "title": "Obstructions to combinatorial formulas for plethysm",
  "authors": [
    "Thomas Kahle",
    "Mateusz Michalek"
  ],
  "comment": "4 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm. We demonstrate, on $S^3(S^k)$, that these need not be counting functions of lattice points in convex bodies, even when restricted to single rays.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-25T20:21:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "11P21",
      "11H06",
      "05A16",
      "52B20",
      "52B55",
      "20C15"
    ],
    "keywords": [
      "combinatorial formulas",
      "obstructions",
      "lattice points",
      "convex bodies",
      "single rays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150707131K"
    }
  }
}