{
  "id": "1112.2199",
  "version": "v2",
  "published": "2011-12-09T20:13:03.000Z",
  "updated": "2012-11-30T11:48:16.000Z",
  "title": "Group actions and coverings of Brauer graph algebras",
  "authors": [
    "Edward L Green",
    "Sibylle Schroll",
    "Nicole Snashall"
  ],
  "comment": "26 pages Correction to statement of Theorem 6.7; a tower of coverings has been introduced",
  "categories": [
    "math.RT"
  ],
  "abstract": "We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the topmost covering has multiplicity function identically one, no loops, and no multiple edges. Furthermore, we classify the coverings of Brauer graph algebras that are again Brauer graph algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-30T11:48:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E18",
      "16G20",
      "14E20",
      "16W50",
      "58E40"
    ],
    "keywords": [
      "brauer graph algebras",
      "group actions",
      "multiple edges",
      "multiplicity function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.2199G"
    }
  }
}