{
  "id": "1702.00084",
  "version": "v1",
  "published": "2017-01-31T23:08:40.000Z",
  "updated": "2017-01-31T23:08:40.000Z",
  "title": "Classification of uniserial modules of $\\langle x\\rangle \\ltimes V$",
  "authors": [
    "Paolo Casati",
    "Andrea Previtali",
    "Fernando Szechtman"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify all uniserial modules of the solvable Lie algebra $\\mathfrak{g}=\\langle x\\rangle \\ltimes V$, where $V$ is an abelian Lie algebra over an algebraically closed field of characteristic 0 and $x$ is an arbitrary automorphism of $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-31T23:08:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniserial modules",
      "classification",
      "abelian lie algebra",
      "solvable lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}