{
  "id": "1201.3411",
  "version": "v1",
  "published": "2012-01-17T01:57:02.000Z",
  "updated": "2012-01-17T01:57:02.000Z",
  "title": "Integral forms in vertex operator algebras which are invariant under finite groups",
  "authors": [
    "Robert L. Griess Jr",
    "Chongying Dong"
  ],
  "comment": "Submitted",
  "categories": [
    "math.RT",
    "math.GR",
    "math.RA"
  ],
  "abstract": "For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA which is invariant under the Monster, and examples in other lattice type VOAs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-17T01:57:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vertex operator algebras",
      "finite group",
      "positive definite integral form invariant",
      "lattice type voas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.3411G"
    }
  }
}