{
  "id": "1101.2181",
  "version": "v2",
  "published": "2011-01-11T19:11:39.000Z",
  "updated": "2012-02-09T17:37:12.000Z",
  "title": "Classification of 5-Dimensional MD-Algebras Having Non-Commutative Derived Ideals",
  "authors": [
    "Le Anh Vu",
    "Ha Van Hieu",
    "Tran Thi Hieu Nghia"
  ],
  "comment": "9 pages, no figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "The paper presents a subclass of the class of MD5-algebras and MD5-groups, i.e. five dimensional solvable Lie algebras and Lie groups such that their orbits in the co-adjoint representation (K-orbits) are orbits of zero or maximal dimension. The main result of the paper is the classification up to an isomorphism of all MD5-algebras with the non-commutative derived ideal. With this result, we have the complete classification of 5-dimensional solvable Lie algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-09T17:37:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E45",
      "22E45",
      "46E25",
      "20C20",
      "F.2.2"
    ],
    "keywords": [
      "non-commutative derived ideal",
      "md-algebras",
      "dimensional solvable lie algebras",
      "md5-algebras",
      "complete classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}