{
  "id": "2201.12808",
  "version": "v1",
  "published": "2022-01-30T13:09:53.000Z",
  "updated": "2022-01-30T13:09:53.000Z",
  "title": "A few remarks on symmetries of the Duflo-Serganova functor",
  "authors": [
    "Alexander Sherman"
  ],
  "comment": "23 pages; comments welcome!",
  "categories": [
    "math.RT"
  ],
  "abstract": "We discuss several points regarding symmetries of the Duflo-Serganova functor. In particular we give new constructions of Lie superalgebras, Lie supergroups, and associative superalgebras which act on the Duflo-Serganova functor. We connect our work to a computation of Heidersdorf and Weissauer which computed $DS_x$ for a maximal rank $x$ on Kac-modules for $GL(n|n)$, and extend the ideas and results to $P(n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-30T13:09:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "duflo-serganova functor",
      "maximal rank",
      "lie superalgebras",
      "lie supergroups",
      "points regarding symmetries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}