{
  "id": "0709.1341",
  "version": "v1",
  "published": "2007-09-10T10:11:46.000Z",
  "updated": "2007-09-10T10:11:46.000Z",
  "title": "Coincidence rotations of the root lattice $A_4$",
  "authors": [
    "Michael Baake",
    "Uwe Grimm",
    "Manuela Heuer",
    "Peter Zeiner"
  ],
  "comment": "13 pages, 1 figure",
  "journal": "European Journal of Combinatorics 29 (2008) 1808-1819",
  "doi": "10.1016/j.ejc.2008.01.012",
  "categories": [
    "math.MG",
    "math.CO"
  ],
  "abstract": "The coincidence site lattices of the root lattice $A_4$ are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of $A_4$ into the icosian ring with its rich arithmetic structure, which recently (arXiv:math.MG/0702448) led to the classification of the similar sublattices of $A_4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-10T10:11:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "11R52",
      "05A15"
    ],
    "keywords": [
      "root lattice",
      "coincidence site lattices",
      "dirichlet series generating function",
      "rich arithmetic structure",
      "similar sublattices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1341B"
    }
  }
}