TY - JOUR AU - Xi, Nanhua AB - For type B˜3\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\tilde B}_3}$$\end{document}, we show that Lusztig’s conjecture on the structure of the based ring of the two-sided cell corresponding to the unipotent class in Sp6(ℂ) with 3 equal Jordan blocks needs modification. TI - The based rings of two-sided cells in an affine Weyl group of type B˜3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\tilde B}_3}$$\end{document}, I JF - Science China Mathematics DO - 10.1007/s11425-021-1945-7 DA - 2023-02-01 UR - https://www.deepdyve.com/lp/springer-journals/the-based-rings-of-two-sided-cells-in-an-affine-weyl-group-of-type-b-3-Rq03eP7Pja SP - 221 EP - 236 VL - 66 IS - 2 DP - DeepDyve ER -