{
  "id": "1201.4723",
  "version": "v2",
  "published": "2012-01-23T14:16:03.000Z",
  "updated": "2013-12-05T10:57:37.000Z",
  "title": "On the classification of easy quantum groups",
  "authors": [
    "Moritz Weber"
  ],
  "comment": "39 pages; appeared in Advances in Mathematics, Vol. 245, pages 500-533, 2013",
  "categories": [
    "math.OA",
    "math.QA"
  ],
  "abstract": "In 2009, Banica and Speicher began to study the compact quantum subgroups of the free orthogonal quantum group containing the symmetric group S_n. They focused on those whose intertwiner spaces are induced by some partitions. These so-called easy quantum groups have a deep connection to combinatorics. We continue their work on classifying these objects introducing some new examples of easy quantum groups. In particular, we show that the six easy groups O_n, S_n, H_n, B_n, S_n' and B_n' split into seven cases on the side of free easy quantum groups. Also, we give a complete classification in the half-liberated case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-05T10:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L65",
      "46L54",
      "17B37",
      "16T30",
      "05E10",
      "20G42"
    ],
    "keywords": [
      "compact quantum subgroups",
      "free orthogonal quantum group containing",
      "symmetric group",
      "complete classification",
      "seven cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4723W"
    }
  }
}