{
  "id": "1804.02563",
  "version": "v2",
  "published": "2018-04-07T14:21:41.000Z",
  "updated": "2018-12-16T15:34:01.000Z",
  "title": "Highest weight modules for affine Lie superalgebras",
  "authors": [
    "Lucas Calixto",
    "Vyacheslav Futorny"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "We describe Borel and parabolic subalgebras of affine Lie superalgebras and study the Verma type modules associated to such subalgebras. We give necessary and sufficient conditions under which these modules are simple.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-12-16T15:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "17B65",
      "17B10"
    ],
    "keywords": [
      "affine lie superalgebras",
      "highest weight modules",
      "verma type modules",
      "parabolic subalgebras",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}