{
  "id": "2210.13888",
  "version": "v1",
  "published": "2022-10-25T10:16:38.000Z",
  "updated": "2022-10-25T10:16:38.000Z",
  "title": "The scheme of characters in SL 2",
  "authors": [
    "Michael Heusener",
    "Joan Porti"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The aim of this article is to study the SL(2,C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group $\\Gamma$, we give equations defining the coordinate ring of the scheme of SL(2,C)-characters of $\\Gamma$ (finitely many equations when $\\Gamma$ is finitely presented). We also study the scheme of abelian and nonsimple representations and characters. Finally we apply our results to study the SL(2,C)-character scheme of the Borromean rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-25T10:16:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characters",
      "finitely generated group",
      "nonsimple representations",
      "borromean rings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}