{
  "id": "1310.3480",
  "version": "v2",
  "published": "2013-10-13T13:25:09.000Z",
  "updated": "2014-06-13T11:54:36.000Z",
  "title": "Stratifications of algebras with two simple modules",
  "authors": [
    "Qunhua Liu",
    "Dong Yang"
  ],
  "comment": "16 pages. Typos corrected, some corollaries added in the end of section 3",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $A$ be a finite-dimensional algebra with two simple modules. It is shown that if the derived category of $A$ admits a stratification with simple factors being the base field $k$, then $A$ is derived equivalent to a quasi-hereditary algebra. As a consequence, if further $k$ is algebraically closed and $A$ has finite global dimension, then $A$ is either derived simple or derived equivalent to a quasi-hereditary algebra",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-13T11:54:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E35",
      "16E40",
      "16E45"
    ],
    "keywords": [
      "simple modules",
      "stratification",
      "quasi-hereditary algebra",
      "finite global dimension",
      "derived equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3480L"
    }
  }
}