The based rings of two-sided cells in an affine Weyl group of type B₃, II

2022/02/01 by Yannan Qiu, Qiu, Yannan, Nanhua Xi +1
Mathematics · Engineering · #Advanced Algebra and Geometry #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2202.00302

Abstract

We compute the based rings of two-sided cells corresponding to the unipotent classes in Sp₆(\mathbb C) with Jordan blocks (33), (411), (222) respectively. The results for the first two two-sided cells also verify Lusztig's conjecture on the structure of the based rings of two-sided cells of an affine Weyl group. The result for the last two-sided cell partially suggests a modification of Lusztig's conjecture on the structure of the based rings of two-sided cells of an affine Weyl group.

Related

• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, III
• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, IV
• The based rings of two-sided cells in an affine weyl group of type B₃, I
• The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type A_n-1
• The based ring the lowest generalized two-sided cell of an extended affine Weyl group