{
  "id": "math-ph/9807036",
  "version": "v1",
  "published": "1998-07-31T17:41:32.000Z",
  "updated": "1998-07-31T17:41:32.000Z",
  "title": "On Quantum Deformations of D=4 Conformal Algebra",
  "authors": [
    "A. Frydryszak",
    "J. Lukierski",
    "P. Minnaert",
    "M. Mozrzymas"
  ],
  "comment": "Plain LaTeX 2.09. No figures. 8 pages. To appear in the proceedings of the 7th Colloquium on Quantum Groups and Integrable Systems (Prague, June 18-20, 1998)",
  "doi": "10.1023/A:1021688702414",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Three classes of classical r-matrices for sl(4,C) algebra are constructed in quasi-Frobenius algebra approach. They satisfy CYBE and are spanned respectively on 8,10,12 generators. The o(4,2) reality condition can be imposed only on the eight dimensional r matrices with dimension-full deformation parameters. Contrary to the Poincare algebra case, it appears that all deformations with a mass-like deformation parameter (kappa- deformations) are described by classical r-matrices satisfying CYBE.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-31T17:41:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum deformations",
      "conformal algebra",
      "quasi-frobenius algebra approach",
      "dimension-full deformation parameters",
      "poincare algebra case"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Czechoslovak Journal of Physics",
      "year": 1998,
      "month": "Nov",
      "volume": 48,
      "number": 11,
      "pages": 1337
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998CzJPh..48.1337F"
    }
  }
}