{
  "id": "1211.2857",
  "version": "v1",
  "published": "2012-11-13T00:30:33.000Z",
  "updated": "2012-11-13T00:30:33.000Z",
  "title": "Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)",
  "authors": [
    "Mark D. Gould",
    "Phillip S. Isaac",
    "Jason L. Werry"
  ],
  "comment": "43 pages",
  "journal": "J. Math. Phys. 54 (2013), 013505",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "We construct explicit formulae for the eigenvalues of certain invariants of the Lie superalgebra gl(m|n) using characteristic identities. We discuss how such eigenvalues are related to reduced Wigner coefficients and the reduced matrix elements of generators, and thus provide a first step to a new algebraic derivation of matrix element formulae for all generators of the algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T00:30:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.10.Ud",
      "03.65.Fd",
      "03.65.Ta",
      "02.20.Sv"
    ],
    "keywords": [
      "reduced matrix elements",
      "lie superalgebra",
      "invariants",
      "construct explicit formulae",
      "matrix element formulae"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "doi": "10.1063/1.4773573",
      "year": 2013,
      "month": "Jan",
      "volume": 54,
      "number": 1,
      "pages": 3505
    },
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1203229,
      "adsabs": "2013JMP....54a3505G"
    }
  }
}