{
  "id": "2009.10154",
  "version": "v1",
  "published": "2020-09-21T19:53:01.000Z",
  "updated": "2020-09-21T19:53:01.000Z",
  "title": "The Rumin complex on nilpotent Lie groups",
  "authors": [
    "Francesca Tripaldi"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper an alternative definition of the Rumin complex $(E_0^\\bullet,d_c)$ is presented, one that relies on a different concept of weights of forms. In this way, the Rumin complex can be constructed on any nilpotent Lie group equipped with a Carnot-Carath\\'eodory metric. Moreover, this construction allows for the direct application of previous non-vanishing results of $\\ell^{q,p}$ cohomology to all nilpotent Lie groups that admit a positive grading.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-21T19:53:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E25",
      "57R19",
      "58A15"
    ],
    "keywords": [
      "nilpotent lie group",
      "rumin complex",
      "carnot-caratheodory metric",
      "direct application",
      "alternative definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}