{
  "id": "0901.2590",
  "version": "v3",
  "published": "2009-01-16T22:38:24.000Z",
  "updated": "2009-12-21T00:11:45.000Z",
  "title": "Exceptional sequences and clusters",
  "authors": [
    "Kiyoshi Igusa",
    "Ralf Schiffler"
  ],
  "comment": "19 pages, 2 figures. Appendix written with Hugh Thomas added in v2. Typos fixed and exposition improved in v3",
  "journal": "Jounal of Algebra 323 (2010) 2183-2202",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We show that exceptional sequences for hereditary algebras are characterized by the fact that the product of the corresponding reflections is the inverse Coxeter element in the Weyl group. We use this result to give a new combinatorial characterization of clusters tilting sets in the cluster category in the case where the hereditary algebra is of finite type.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-12-21T00:11:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "20F55"
    ],
    "keywords": [
      "exceptional sequences",
      "hereditary algebra",
      "inverse coxeter element",
      "weyl group",
      "combinatorial characterization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}