Speaker: Marie Roth (Kaiserslautern)
Title: Unitriangularity of Decomposition Matrices for Exceptional Simple Adjoint Groups of Lie Type
Abstract:
In their article (2020), Brunat-Dudas-Taylor showed with some conditions on the prime \(\ell\) that the decomposition matrices of the unipotent blocks for a group of Lie type are unitriangular. In this talk, I will present work in progress to show how we can remove conditions on the prime \(\ell\) in the case of exceptional groups of Lie type.