{
  "id": "1908.10496",
  "version": "v1",
  "published": "2019-08-27T23:40:42.000Z",
  "updated": "2019-08-27T23:40:42.000Z",
  "title": "Local rigidity of parabolic algebraic actions",
  "authors": [
    "Zhenqi Jenny Wang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1908.09181",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show $C^\\infty$ local rigidity for a broad class of abelian unipotent algebraic actions on homogeneous spaces of semisimple Lie groups. The method of proof is a combination of KAM type iteration scheme and representation theory. This is the first time in literature (strong) local rigidity for parabolic actions is addressed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-27T23:40:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local rigidity",
      "parabolic algebraic actions",
      "abelian unipotent algebraic actions",
      "kam type iteration scheme",
      "semisimple lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}