The based rings of two-sided cells in an affine weyl group of type B₃, I

2021/07/19 by Qiu, Yannan, Xi, Nanhua
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2107.08983

Abstract

For type B₃ we show that Lusztig's conjecture on the structure of the based ring of two-sided cell corresponding to the unipotent class in Sp₆(\mathbb C) with 3 equal Jordan blocks needs modified.

Related

• 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, II
• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, III
• 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