{
  "id": "0909.3134",
  "version": "v2",
  "published": "2009-09-17T00:36:55.000Z",
  "updated": "2010-01-22T13:18:41.000Z",
  "title": "Character Formulae for Ortho-symplectic Lie Superalgebras $\\mathfrak{osp}(n|2)$",
  "authors": [
    "Li Luo"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "The character formula of any finite dimensional irreducible module $L_\\lambda$ for Lie superalgebra $\\mathfrak{osp}(n|2)$ is computed. As a by-product, the decomposition of tensor module $L_\\lambda\\otimes \\mathbb{C}^{n|2}$, where $\\mathbb{C}^{n|2}$ is the natural representation, is obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-22T13:18:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B20"
    ],
    "keywords": [
      "ortho-symplectic lie superalgebras",
      "character formula",
      "finite dimensional irreducible module",
      "natural representation",
      "tensor module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3134L"
    }
  }
}