{ "id": "2209.07222", "version": "v1", "published": "2022-09-15T11:30:03.000Z", "updated": "2022-09-15T11:30:03.000Z", "title": "The Based Rings of Two-sided cells in an Affine Weyl group of type $\\tilde B_3$, III", "authors": [ "Yannan Qiu" ], "categories": [ "math.RT" ], "abstract": "We compute the based rings of two-sided cells corresponding to the unipotent class in $Sp_6(\\mathbb C)$ with Jordan blocks (2211). 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": "2022-09-15T11:30:03.000Z" } ], "analyses": { "keywords": [ "affine weyl group", "two-sided cells", "unipotent class", "verify lusztigs conjecture", "jordan blocks" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }