{
  "id": "1709.03618",
  "version": "v1",
  "published": "2017-09-11T23:02:33.000Z",
  "updated": "2017-09-11T23:02:33.000Z",
  "title": "Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$",
  "authors": [
    "Lutz Hille",
    "David Ploog"
  ],
  "comment": "20 pages, 2 full page figures, many small figures",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of $k[x]/(x^t)$. We categorify the left and right symmetric group actions on these exceptional sequences to two braid group actions: of spherical twists along simple modules, and of right mutations. In particular, every such exceptional sequence is obtained by spherical twists from a standard sequence, and likewise for right mutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-11T23:02:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16D90",
      "16G20",
      "16S38",
      "18E30"
    ],
    "keywords": [
      "auslander algebra",
      "spherical modules",
      "right symmetric group actions",
      "right mutations",
      "spherical twists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}