{
  "id": "1301.4088",
  "version": "v2",
  "published": "2013-01-17T13:13:33.000Z",
  "updated": "2013-02-05T12:02:02.000Z",
  "title": "On representation-finite algebras and beyond",
  "authors": [
    "Klaus Bongartz"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a survey on the theory of representation-finite and certain minimal representation-infinite algebras.The main goals are the existence of multiplicative bases and of coverings with good properties. Both are attained via ray-categories. As applications we include a proof of a sharper version of the second Brauer-Thrall conjecture and of the fact that there are no gaps in the lengths of the indecomposable modules over an algebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-05T12:02:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G60",
      "16G20"
    ],
    "keywords": [
      "representation-finite algebras",
      "minimal representation-infinite algebras",
      "second brauer-thrall conjecture",
      "main goals",
      "sharper version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4088B"
    }
  }
}