{
  "id": "1602.08392",
  "version": "v1",
  "published": "2016-02-26T16:52:46.000Z",
  "updated": "2016-02-26T16:52:46.000Z",
  "title": "Invariants of pairs in SL(4,C) and SU(3,1)",
  "authors": [
    "Krishnendu Gongopadhyay",
    "Sean Lawton"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG",
    "math.DG",
    "math.RT"
  ],
  "abstract": "We describe a minimal global coordinate system of order 30 on the SL(4,C)-character variety of a rank 2 free group. Using symmetry within this system, we obtain a smaller collection of 22 coordinates subject to 5 further real relations that determine conjugation classes of generic pairs of matrices in SU(3,1).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-26T16:52:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "20H10",
      "20C15",
      "14L30",
      "20E05",
      "30F40",
      "15B57",
      "51M10"
    ],
    "keywords": [
      "invariants",
      "minimal global coordinate system",
      "determine conjugation classes",
      "free group",
      "smaller collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160208392G"
    }
  }
}