Coxeter orbits and Brauer trees III
type: Dataset
description: This article is the final one of a series of articles on certain blocks of modular representations of finite groups of Lie type and the associated geometry. We prove the conjecture of Broué on derived equivalences induced by the complex of cohomology of Deligne-Lusztig varieties in the case of Coxeter elements whenever the defining characteristic is good. We also prove a conjecture of Hiß, Lübeck and Malle on the Brauer trees of the corresponding blocks. As a consequence, we determine the Brauer trees (in particular, the decomposition matrix) of the principal $\ell$-block of $E_7(q)$ when $\ell \mid \Phi_{18}(q)$ and $E_8(q)$ when $\ell \mid \Phi_{18}(q)$ or $\ell \mid \Phi_{30}(q)$.
landing page: https://hal.science/hal-00686064
keyword: brauer-trees
keyword: broues-conjecture
keyword: deligne-lusztig-varieties
keyword: derived-categories
keyword: finite-reductive-groups
keyword: infoeu-reposemanticspreprint
keyword: mathmath-rtmathematics-mathrepresentation-theory-mathrt
keyword: preprints-working-papers-
issued: 2026-05-22T10:53:12.364767
modified: 2026-05-22T10:53:12.364772
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Coxeter orbits and Brauer trees III
type: Distribution
format: HTML
access URL: https://hal.science/hal-00686064
issued: 2026-05-22T10:53:12.380381
modified: 2026-05-22T10:53:12.347077