{
  "id": "math-ph/9905002",
  "version": "v1",
  "published": "1999-05-04T00:53:29.000Z",
  "updated": "1999-05-04T00:53:29.000Z",
  "title": "Quasi-Spin Graded-Fermion Formalism and $gl(m|n)\\downarrow osp(m|n)$ Branching Rules",
  "authors": [
    "Mark D. Gould",
    "Yao-Zhong Zhang"
  ],
  "comment": "19 pages, Latex file",
  "journal": "J. Math. Phys. 40 (1999) 5371-5386",
  "doi": "10.1063/1.533075",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RT"
  ],
  "abstract": "The graded-fermion algebra and quasi-spin formalism are introduced and applied to obtain the $gl(m|n)\\downarrow osp(m|n)$ branching rules for the \"two-column\" tensor irreducible representations of gl(m|n), for the case $m\\leq n (n > 2)$. In the case m < n, all such irreducible representations of gl(m|n) are shown to be completely reducible as representations of osp(m|n). This is also shown to be true for the case m=n except for the \"spin-singlet\" representations which contain an indecomposable representation of osp(m|n) with composition length 3. These branching rules are given in fully explicit form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-04T00:53:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "02.10.Sp"
    ],
    "keywords": [
      "quasi-spin graded-fermion formalism",
      "branching rules",
      "graded-fermion algebra",
      "tensor irreducible representations",
      "quasi-spin formalism"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 1999,
      "month": "Nov",
      "volume": 40,
      "number": 11,
      "pages": 5371
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999JMP....40.5371G"
    }
  }
}