{
  "id": "1801.07898",
  "version": "v1",
  "published": "2018-01-24T08:09:27.000Z",
  "updated": "2018-01-24T08:09:27.000Z",
  "title": "Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type",
  "authors": [
    "Arkadiusz Męcel",
    "Jan Okniński"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only if A is of finite representation type provided that all simple A-modules have dimension at least 6.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-24T08:09:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16P10",
      "16D99",
      "16G60",
      "20M99"
    ],
    "keywords": [
      "finite representation type",
      "conjugacy classes",
      "left ideals",
      "finite dimensional algebra",
      "simple a-modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}