Unitriangularity of decomposition matrices of the unipotent ${\ell}$-blocks for simple adjoint exceptional groups
Representation Theory
2024-02-28 v1
Abstract
In 2020, Brunat-Dudas-Taylor showed that the decomposition matrix of unipotent -blocks of a nite reductive group in good characteristic has unitriangular shape, under some conditions on the prime , in particular being good. We extend this result to bad by adapting their proof to include the -special classes dened by Chaneb.
Keywords
Cite
@article{arxiv.2402.17616,
title = {Unitriangularity of decomposition matrices of the unipotent ${\ell}$-blocks for simple adjoint exceptional groups},
author = {Marie Roth},
journal= {arXiv preprint arXiv:2402.17616},
year = {2024}
}