{
  "id": "1604.02164",
  "version": "v1",
  "published": "2016-04-07T20:13:27.000Z",
  "updated": "2016-04-07T20:13:27.000Z",
  "title": "Varieties of Characters",
  "authors": [
    "Sean Lawton",
    "Adam S. Sikora"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let G be a connected reductive affine algebraic group. In this short note we define the \"variety of G-characters\" of a finitely generated group F and show that the quotient of the G-character variety of F by the action of the trace preserving outer automorphisms of G normalizes the variety of G-characters when F is a free group, free abelian group, or a surface group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-07T20:13:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14L30",
      "20C15"
    ],
    "keywords": [
      "characters",
      "connected reductive affine algebraic group",
      "free abelian group",
      "trace preserving outer automorphisms",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160402164L"
    }
  }
}