{
  "id": "1611.02017",
  "version": "v1",
  "published": "2016-11-07T12:25:44.000Z",
  "updated": "2016-11-07T12:25:44.000Z",
  "title": "Representation embeddings and the second Brauer-Thrall conjecture",
  "authors": [
    "Klaus Bongartz"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that over an algebraically closed field there is a representation embedding from the category of classical Kronecker-modules without the simple injective into the category of finite-dimensional modules over any representation-infinite finite-dimensional algebra. We also sharpen some known results on representation embeddings, we simplify some proofs and we construct a simultaneous orthogonal embedding for an infinite family of module categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-07T12:25:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second brauer-thrall conjecture",
      "representation embedding",
      "representation-infinite finite-dimensional algebra",
      "module categories",
      "finite-dimensional modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}