{
  "id": "1608.07896",
  "version": "v1",
  "published": "2016-08-29T02:45:43.000Z",
  "updated": "2016-08-29T02:45:43.000Z",
  "title": "Some conjectures on modular representations of affine $\\mathfrak{sl}_2$ and Virasoro algebra",
  "authors": [
    "Weiqiang Wang"
  ],
  "comment": "7 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine $\\mathfrak{sl}_2$ and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine $\\mathfrak{sl}_2$ is valid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T02:45:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modular representations",
      "conjecture",
      "minimal series modules",
      "goddard-kent-olive coset construction",
      "prime characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}