{
  "id": "2107.08983",
  "version": "v1",
  "published": "2021-07-19T15:57:17.000Z",
  "updated": "2021-07-19T15:57:17.000Z",
  "title": "The based rings of two-sided cells in an affine weyl group of type $\\tilde B_3$, I",
  "authors": [
    "Yannan Qiu",
    "Nanhua Xi"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "For type $\\tilde B_3$ we show that Lusztig's conjecture on the structure of the based ring of two-sided cell corresponding to the unipotent class in $Sp_6(\\mathbb C)$ with 3 equal Jordan blocks needs modified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T15:57:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine weyl group",
      "two-sided cell",
      "equal jordan blocks needs",
      "unipotent class",
      "lusztigs conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}