{
  "id": "1308.3632",
  "version": "v2",
  "published": "2013-08-16T13:56:22.000Z",
  "updated": "2015-01-15T06:48:30.000Z",
  "title": "On Kirillov's lemma for nilpotent Lie algebras",
  "authors": [
    "Ingrid Beltita",
    "Daniel Beltita"
  ],
  "comment": "15 pages",
  "journal": "Journal of Algebra 427 (2015), 85-103",
  "categories": [
    "math.RT"
  ],
  "abstract": "We establish a sharpening of Kirillov's lemma on nilpotent Lie algebras with 1-dimensional center and use it to study the structure of 3-step nilpotent Lie algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-16T13:56:22.000Z",
      "comment": "14 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-15T06:48:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B30",
      "22E25",
      "22E27"
    ],
    "keywords": [
      "nilpotent lie algebras",
      "kirillovs lemma"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3632B"
    }
  }
}