{
  "id": "1809.11113",
  "version": "v1",
  "published": "2018-09-28T16:02:23.000Z",
  "updated": "2018-09-28T16:02:23.000Z",
  "title": "2-representations of small quotients of Soergel bimodules in infinite types",
  "authors": [
    "Hankyung Ko",
    "Volodymyr Mazorchuk"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We determine for which Coxeter types the associated small quotient of the $2$-category of Soergel bimodules is finitary and, for such a small quotient, classify the simple transitive $2$-representations (sometimes under the additional assumption of gradability). We also describe the underlying categories of the simple transitive $2$-representations. For the small quotients of general Coxeter types, we give a description for the cell $2$-representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-28T16:02:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "soergel bimodules",
      "infinite types",
      "representations",
      "general coxeter types",
      "additional assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}