{
  "id": "0810.0184",
  "version": "v4",
  "published": "2008-10-01T14:55:31.000Z",
  "updated": "2009-03-18T07:16:22.000Z",
  "title": "Hochschild Cohomology and Deformations of Clifford-Weyl Algebras",
  "authors": [
    "Ian M. Musson",
    "Georges Pinczon",
    "Rosane Ushirobira"
  ],
  "journal": "SIGMA 5 (2009), 028, 27 pages",
  "doi": "10.3842/SIGMA.2009.028",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.RA"
  ],
  "abstract": "We give a complete study of the Clifford-Weyl algebra ${\\mathcal C}(n,2k)$ from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that ${\\mathcal C}(n,2k)$ is rigid when $n$ is even or when $k \\neq 1$. We find all non-trivial deformations of ${\\mathcal C}(2n+1,2)$ and study their representations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-03-18T07:16:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B56",
      "17B10"
    ],
    "keywords": [
      "hochschild cohomology",
      "clifford-weyl algebra",
      "bose-fermi statistics",
      "complete study"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2009,
      "month": "Mar",
      "volume": 5,
      "pages": "028"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SIGMA...5..028M"
    }
  }
}