{
  "id": "1712.05299",
  "version": "v1",
  "published": "2017-12-14T15:47:45.000Z",
  "updated": "2017-12-14T15:47:45.000Z",
  "title": "Extensions between Verma modules for dihedral groups",
  "authors": [
    "Gurbir Dhillon",
    "Visu Makam"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Computing the extensions between Verma modules is in general a very difficult problem. Using Soergel bimodules, one can construct a graded version of the principal block of Category $\\mathcal{O}$ for any finite coxeter group. In this setting, we compute the extensions between Verma modules for dihedral groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-14T15:47:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "verma modules",
      "dihedral groups",
      "extensions",
      "finite coxeter group",
      "principal block"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}