Sur les caractères des groupes réductifs finis : applications aux groupes spéciaux linéaires et unitaires
arXiv:math/0504078
Abstract
In the first chapters, this paper contains a survey on the theory of ordinary characters of finite reductive groups with non-connected centre. The last chapters are devoted to the proof of Lusztig's conjecture on characteristic functions of character sheaves for all finite reductive groups of type A, split or not.
97 pages, in french