{
  "id": "math-ph/0201023",
  "version": "v4",
  "published": "2002-01-10T10:31:35.000Z",
  "updated": "2003-09-02T08:43:08.000Z",
  "title": "Operator Representations on Quantum Spaces",
  "authors": [
    "Claudia Bauer",
    "Hartmut Wachter"
  ],
  "comment": "34 pages, Latex, major modifications to improve clarity, corrected typos",
  "journal": "Eur.Phys.J. C31 (2003) 261-275",
  "doi": "10.1140/epjc/s2003-01324-0",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this article we present explicit formulae for q-differentiation on quantum spaces which could be of particular importance in physics, i.e., q-deformed Minkowski space and q-deformed Euclidean space in three or four dimensions. The calculations are based on the covariant differential calculus of these quantum spaces. Furthermore, our formulae can be regarded as a generalization of Jackson's q-derivative to three and four dimensions.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-09-02T08:43:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum spaces",
      "operator representations",
      "covariant differential calculus",
      "explicit formulae",
      "dimensions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 581827
    }
  }
}