{
  "id": "1908.09645",
  "version": "v1",
  "published": "2019-08-26T12:36:03.000Z",
  "updated": "2019-08-26T12:36:03.000Z",
  "title": "Algebras derived equivalent to Brauer graph algebras and derived invariants of Brauer graph algebras revisited",
  "authors": [
    "Mikhail Antipov",
    "Alexandra Zvonareva"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component of the group of outer automorphisms $Out^0(A)$ of a symmetric stably biserial algebra $A$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-26T12:36:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "18E30"
    ],
    "keywords": [
      "brauer graph algebras",
      "algebras derived equivalent",
      "derived invariants",
      "symmetric stably biserial algebra",
      "maximal torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}