{
  "id": "1509.01441",
  "version": "v1",
  "published": "2015-09-04T13:38:29.000Z",
  "updated": "2015-09-04T13:38:29.000Z",
  "title": "Simple transitive $2$-representations of Soergel bimodules in type $B_2$",
  "authors": [
    "Jakob Zimmermann"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that every simple transitive $2$-representation of the fiat $2$-category of Soergel bimodules (over the coinvariant algebra) in type $B_2$ is equivalent to a cell $2$-representation. We also describe some general properties of the $2$-category of Soergel bimodules for arbitrary finite Dihedral groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-04T13:38:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "soergel bimodules",
      "simple transitive",
      "representation",
      "arbitrary finite dihedral groups",
      "general properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150901441Z"
    }
  }
}