{
  "id": "1508.03507",
  "version": "v1",
  "published": "2015-08-14T14:08:50.000Z",
  "updated": "2015-08-14T14:08:50.000Z",
  "title": "Representation growth of the Heisenberg group over $\\mathcal{O}[x]/(x^n)$",
  "authors": [
    "Duong Hoang Dung"
  ],
  "categories": [
    "math.GR",
    "math.NT",
    "math.RT"
  ],
  "abstract": "We present a conjectured formula for the representation zeta function of the Heisenberg group over $\\mathcal{O}[x]/(x^n)$ where $\\mathcal{O}$ is the ring of integers of some number field. We confirm the conjecture for $n\\leq 3$ and raise several questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-14T14:08:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg group",
      "representation growth",
      "representation zeta function",
      "number field",
      "conjectured formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150803507H"
    }
  }
}