{
  "id": "2312.00002",
  "version": "v1",
  "published": "2023-07-22T01:28:13.000Z",
  "updated": "2023-07-22T01:28:13.000Z",
  "title": "The Discontinuity Group of a Locally Bounded Homomorphism of a Lie Group into a Lie Group Is Commutative",
  "authors": [
    "A. I. Shtern"
  ],
  "comment": "4 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the discontinuity group of every locally bounded homomorphism of a Lie group into a Lie group is not only compact and connected, which is known, but is also commutative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-22T01:28:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E15"
    ],
    "keywords": [
      "lie group",
      "locally bounded homomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}