{
  "id": "math/0609375",
  "version": "v1",
  "published": "2006-09-14T00:58:37.000Z",
  "updated": "2006-09-14T00:58:37.000Z",
  "title": "Fundamental Groups of Commuting Elements in Lie Groups",
  "authors": [
    "Enrique Torres-Giese",
    "Denis Sjerve"
  ],
  "doi": "10.1112/blms/bdm094",
  "categories": [
    "math.AT"
  ],
  "abstract": "We compute the fundamental group of the spaces of ordered commuting $n$-tuples of elements in the Lie groups SU(2), U(2) and SO(3). For SO(3) the computation of the mod-2 cohomology of the components of these spaces is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-14T00:58:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fundamental group",
      "commuting elements",
      "lie groups su",
      "computation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9375T"
    }
  }
}