Coxeter orbits and Brauer trees - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2010

Coxeter orbits and Brauer trees

Olivier Dudas
  • Function : Author
  • PersonId : 883084

Abstract

We study the cohomology with modular coefficients of Deligne-Lusztig varieties associated to Coxeter elements. Under some torsion-free assumption on the cohomology we derive several results on the principal l-block of a finite reductive group G(F_q) when the order of q modulo l is assumed to be the Coxeter number. These results include the determination of the planar embedded Brauer tree of the block (as conjectured by Hiss, Lübeck and Malle) and the derived equivalence predicted by the geometric version of Broué's conjecture.
Fichier principal
Vignette du fichier
coxorbits.pdf (383.25 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00538577 , version 1 (22-11-2010)
hal-00538577 , version 2 (13-01-2012)

Identifiers

Cite

Olivier Dudas. Coxeter orbits and Brauer trees. 2010. ⟨hal-00538577v1⟩
216 View
117 Download

Altmetric

Share

Gmail Facebook X LinkedIn More