{
  "id": "1804.09603",
  "version": "v1",
  "published": "2018-04-25T14:45:11.000Z",
  "updated": "2018-04-25T14:45:11.000Z",
  "title": "A product on double cosets of $B_\\infty$",
  "authors": [
    "Pablo G. Pagotto"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "For some infinite-dimensional groups $G$ and suitable subgroups $K$ there exists a monoid structure on the set $K\\backslash G /K$ of double cosets of $G$ with respect to $K$. In this paper we show that the group $B_\\infty$, of the finite braids on infinitely many strands, admits such a structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-25T14:45:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "double cosets",
      "finite braids",
      "infinite-dimensional groups",
      "monoid structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}