{
  "id": "1606.09532",
  "version": "v1",
  "published": "2016-06-30T15:11:02.000Z",
  "updated": "2016-06-30T15:11:02.000Z",
  "title": "An application of TQFT to modular representation theory",
  "authors": [
    "Patrick M. Gilmer",
    "Gregor Masbaum"
  ],
  "comment": "20 pages, 3 figures",
  "categories": [
    "math.RT",
    "math.GT",
    "math.QA"
  ],
  "abstract": "For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest weights.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-30T15:11:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular representation theory",
      "application",
      "symplectic group sp",
      "highest weight modules",
      "topological quantum field theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}