{
  "id": "1912.06115",
  "version": "v1",
  "published": "2019-12-12T18:29:06.000Z",
  "updated": "2019-12-12T18:29:06.000Z",
  "title": "Quantum Borcherds-Bozec algebras and their integrable representations",
  "authors": [
    "Seok-Jin Kang",
    "Young-Rock Kim"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We investigate the fundamental properties of quantum Borcherds-Bozec algebras and their representations. Among others, we prove that the quantum Borcherds-Bozec algebras have a triangular decomposition and the category of integrable representations is semi-simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-12T18:29:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum borcherds-bozec algebras",
      "integrable representations",
      "fundamental properties",
      "triangular decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}