{
  "id": "1105.2670",
  "version": "v2",
  "published": "2011-05-13T09:45:03.000Z",
  "updated": "2019-03-16T09:30:14.000Z",
  "title": "Associative and Lie deformations of Poisson algebras",
  "authors": [
    "Elisabeth Remm"
  ],
  "comment": "20 pages",
  "journal": "Communications in Mathematics. 20 (2012), no.2, p117 to p136",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA"
  ],
  "abstract": "Considering a Poisson algebra as a non associative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this non associative algebra. This gives a natural interpretation of deformations which preserves the underlying associative structure and we study deformations which preserve the underlying Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-13T09:45:03.000Z",
      "comment": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-03-16T09:30:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B63",
      "16E40",
      "17B50"
    ],
    "keywords": [
      "poisson algebra",
      "lie deformations",
      "non associative algebra",
      "study deformations",
      "underlying lie algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2670R"
    }
  }
}