{
  "id": "2204.08141",
  "version": "v1",
  "published": "2022-04-18T03:07:18.000Z",
  "updated": "2022-04-18T03:07:18.000Z",
  "title": "On Riedtmann's Lie algebra of the gentle one-cycle algebra $Λ(n-1,1,1)$",
  "authors": [
    "Hui Chen",
    "Dong Yang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "An extended version of Riedtmann's Lie algebra of the gentle one-cycle algebra $\\Lambda(n-1,1,1)$ is computed and is shown to be like the Borel subalgebra of an Lie algebra of type $\\mathbf{BC}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-18T03:07:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "17B37"
    ],
    "keywords": [
      "gentle one-cycle algebra",
      "riedtmanns lie algebra",
      "borel subalgebra",
      "extended version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}