{
  "id": "1706.08387",
  "version": "v1",
  "published": "2017-06-26T14:12:02.000Z",
  "updated": "2017-06-26T14:12:02.000Z",
  "title": "On characters of irreducible highest weight modules of negative integer level over affine Lie algebras",
  "authors": [
    "Victor G. Kac",
    "Minoru Wakimoto"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove a character formula for the irreducible modules from the category $\\mathcal{O}$ over the simple affine vertex algebra of type $A_n$ and $C_n$ $(n \\geq 2)$ of level $k=-1$. We also give a conjectured character formula for types $D_4$, $E_6$, $E_7$, $E_8$ and levels $k=-1, \\cdots, -b$, where $b=2,3,4,6$ respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-26T14:12:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irreducible highest weight modules",
      "affine lie algebras",
      "negative integer level",
      "character formula",
      "simple affine vertex algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}