{
  "id": "1107.2082",
  "version": "v2",
  "published": "2011-07-11T18:22:19.000Z",
  "updated": "2012-04-03T14:11:32.000Z",
  "title": "Classification of Simple Lie Algebras on a Lattice",
  "authors": [
    "Kenji Iohara",
    "Olivier Mathieu"
  ],
  "doi": "10.1112/plms/pds042",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $\\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\\Lambda$ is a Lie algebra ${\\cal L}=\\oplus_{\\lambda\\in\\Lambda}\\,{\\cal L}_{\\lambda}$ such that $\\dim\\,{\\cal L}_\\lambda=1$ for all $\\lambda$. In this article, we classify all simple graded Lie algebras on a lattice.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-03T14:11:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple lie algebras",
      "classification",
      "simple graded lie algebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2082I"
    }
  }
}