The based rings of two-sided cells in an affine weyl group of type $\tilde B_3$, I

Yannan Qiu, Nanhua Xi

Published 2021-07-19Version 1

For type $\tilde B_3$ we show that Lusztig's conjecture on the structure of the based ring of two-sided cell corresponding to the unipotent class in $Sp_6(\mathbb C)$ with 3 equal Jordan blocks needs modified.