{
  "id": "1103.4922",
  "version": "v1",
  "published": "2011-03-25T07:50:11.000Z",
  "updated": "2011-03-25T07:50:11.000Z",
  "title": "Quaternion Orders and Ternary Quadratic Forms",
  "authors": [
    "Stefan Lemurell"
  ],
  "comment": "Originally appeared as part of the authors Ph.D. thesis in 1997 (whose name then was Stefan Johansson) under the title \"A Description of Quaternion Algebras\"",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give details of a formerly known relation between ternary quadratic forms and quaternion orders through the even Clifford algebra. Based on this and classifications of ternary quadratic forms we give a completely explicit classification of quaternion orders in the padic case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-25T07:50:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E08",
      "11R52"
    ],
    "keywords": [
      "ternary quadratic forms",
      "quaternion orders",
      "clifford algebra",
      "explicit classification"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4922L"
    }
  }
}