{
  "id": "1106.1512",
  "version": "v2",
  "published": "2011-06-08T07:23:59.000Z",
  "updated": "2012-02-10T06:36:20.000Z",
  "title": "On Lie Algebroids and Poisson Algebras",
  "authors": [
    "Dennise García-Beltrán",
    "José A. Vallejo",
    "Yurii Vorobjev"
  ],
  "journal": "SIGMA 8 (2012), 006, 14 pages",
  "doi": "10.3842/SIGMA.2012.006",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-10T06:36:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D17",
      "17B63"
    ],
    "keywords": [
      "poisson algebras",
      "cotangent lie algebroids",
      "lie connections",
      "poisson manifolds",
      "transitive lie algebroids"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2012,
      "month": "Feb",
      "volume": 8,
      "pages": "006"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012SIGMA...8..006G"
    }
  }
}