{
  "id": "2405.07254",
  "version": "v1",
  "published": "2024-05-12T11:18:05.000Z",
  "updated": "2024-05-12T11:18:05.000Z",
  "title": "Equidimensional quiver representations and their $U$-invariants",
  "authors": [
    "A. N. Panov"
  ],
  "comment": "14 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "For an arbitrary equidimensional quiver representation, we proposed the method of construction of a system of free generators of the field of $U$-invariants. The construction of the section and system of generators depends on the choice of a map that assign to each vertex one of the arrows incident to it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-12T11:18:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A15",
      "15A72",
      "13A50"
    ],
    "keywords": [
      "invariants",
      "arbitrary equidimensional quiver representation",
      "arrows incident",
      "construction",
      "free generators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}