{
  "id": "math/0303020",
  "version": "v1",
  "published": "2003-03-03T14:33:51.000Z",
  "updated": "2003-03-03T14:33:51.000Z",
  "title": "Universal representations of Lie algebras by coderivations",
  "authors": [
    "Emanuela Petracci"
  ],
  "comment": "23 pages, LaTeX",
  "journal": "Bull. Sci. math. 127 (2003), pp 439-465",
  "categories": [
    "math.RT"
  ],
  "abstract": "A class of representations of a Lie superalgebra (over a commutative superring) in its symmetric algebra is studied. As an application we get a direct and natural proof of a strong form of the Poincare'-Birkhoff-Witt theorem, extending this theorem to a class of nilpotent Lie superalgebras. Other applications are presented. Our results are new already for Lie algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-03T14:33:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S30",
      "16G30",
      "17B35",
      "17B65"
    ],
    "keywords": [
      "lie algebras",
      "universal representations",
      "coderivations",
      "nilpotent lie superalgebras",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3020P"
    }
  }
}