{
  "id": "2505.02459",
  "version": "v1",
  "published": "2025-05-05T08:43:39.000Z",
  "updated": "2025-05-05T08:43:39.000Z",
  "title": "The Based Rings of Two-sided cells in an Affine Weyl group of type $\\tilde B_3$, IV",
  "authors": [
    "Yannan Qiu"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We compute the based ring of two-sided cell corresponding to the unipotent class in $Sp_6(\\mathbb C)$ with Jordan blocks (21111). The results also verify Lusztig's conjecture on the structure of the based rings of the two-sided cells of an affine Weyl group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-05T08:43:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine weyl group",
      "two-sided cell",
      "unipotent class",
      "verify lusztigs conjecture",
      "jordan blocks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}