{
  "id": "1004.2381",
  "version": "v1",
  "published": "2010-04-14T12:24:03.000Z",
  "updated": "2010-04-14T12:24:03.000Z",
  "title": "Gel'fand-Zetlin Basis and Clebsch-Gordan Coefficients for Covariant Representations of the Lie superalgebra gl(m|n)",
  "authors": [
    "N. I. Stoilova",
    "J. Van der Jeugt"
  ],
  "comment": "16 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Lie superalgebra gl(m|n). Explicit expressions for the generators of the Lie superalgebra acting on this basis are determined. Furthermore, Clebsch-Gordan coefficients corresponding to the tensor product of any covariant tensor representation of gl(m|n) with the natural representation V ([1,0,...,0]) of gl(m|n) with highest weight (1,0,. . . ,0) are computed. Both results are steps for the explicit construction of the parastatistics Fock space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-14T12:24:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.20.Sv",
      "02.10.Ud"
    ],
    "keywords": [
      "lie superalgebra",
      "clebsch-gordan coefficients",
      "gelfand-zetlin basis",
      "covariant representations",
      "parastatistics fock space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3478297",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "Sep",
      "volume": 51,
      "number": 9,
      "pages": 3523
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51i3523S"
    }
  }
}