{
  "id": "1211.2503",
  "version": "v1",
  "published": "2012-11-12T03:16:04.000Z",
  "updated": "2012-11-12T03:16:04.000Z",
  "title": "Faithful Representations of Minimal Dimension of 6-dimensional nilpotent Lie algebras",
  "authors": [
    "Nadina Elizabeth Rojas"
  ],
  "comment": "19 pages, 7 tables",
  "categories": [
    "math.RT",
    "math.DG",
    "math.RA"
  ],
  "abstract": "The main goal of this paper is to compute $\\mu(\\g)$ and $\\mu_{nil}(\\g)$ for each nilpotent Lie algebra $\\g$ of dimension 6 over a field of characteristic zero $\\k$. Here $\\mu(\\g)$ and $\\mu_{nil}(\\g)$ is the minimal dimension of a faithful representation of $\\g$ and the minimal dimension of a faithful nilrepresentation of $\\g$, respectively. We also give a minimal faithful representation and nilrepresentation for each nilpotent Lie algebra of dimension $\\leq 6$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-12T03:16:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B30",
      "17B45",
      "22E25",
      "22E47"
    ],
    "keywords": [
      "nilpotent lie algebra",
      "minimal dimension",
      "minimal faithful representation",
      "characteristic zero",
      "main goal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2503R"
    }
  }
}