{
  "id": "math/9810109",
  "version": "v1",
  "published": "1998-10-17T09:50:21.000Z",
  "updated": "1998-10-17T09:50:21.000Z",
  "title": "Irreducible representations of solvable Lie superalgebras",
  "authors": [
    "Alexander Sergeev"
  ],
  "comment": "7 p., LaTeX",
  "categories": [
    "math.RT"
  ],
  "abstract": "The description of irreducible finite dimensional representations of finite dimensional solvable Lie superalgebras over complex numbers given by V.~Kac is refined. In reality these representations are not just induced from a polarization but twisted, as infinite dimensional representations of solvable Lie algebras. Various cases of irreducibility (general and of type Q) are classified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-17T09:50:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17A70",
      "17B30"
    ],
    "keywords": [
      "irreducible representations",
      "finite dimensional solvable lie superalgebras",
      "irreducible finite dimensional representations",
      "infinite dimensional representations",
      "complex numbers"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10109S"
    }
  }
}