{
  "id": "1703.06214",
  "version": "v1",
  "published": "2017-03-17T23:09:18.000Z",
  "updated": "2017-03-17T23:09:18.000Z",
  "title": "Free 2-step nilpotent Lie algebras and indecomposable modules",
  "authors": [
    "Leandro Cagliero",
    "Luis Gutierrez",
    "Fernando Szechtman"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Given an algebraically closed field $F$ of characteristic 0 and an $F$-vector space $V$, let $L(V)=V\\oplus\\Lambda^2(V)$ denote the free 2-step nilpotent Lie algebra associated to $V$. In this paper, we classify all uniserial representations of the solvable Lie algebra $\\mathfrak g=\\langle x\\rangle\\ltimes L(V)$, where $x$ acts on $V$ via an arbitrary invertible Jordan block.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-17T23:09:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nilpotent lie algebra",
      "indecomposable modules",
      "arbitrary invertible jordan block",
      "vector space",
      "uniserial representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}