منابع مشابه
Coxeter orbits and Brauer trees
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(Fq) 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 ...
متن کاملCoxeter orbits and Brauer trees II
The purpose of this paper is to discuss the validity of the assumptions (W) and (S) stated in [12], about the torsion in the modular l-adic cohomology of Deligne-Lusztig varieties associated with Coxeter elements. We prove that both (W) and (S) hold except for groups of type E7 or E8.
متن کاملCohomology of Deligne–Lusztig Varieties, Broué’s Conjecture, and Brauer Trees
In this paper, we present a conjecture on the degree of unipotent characters in the cohomology of particular Deligne–Lusztig varieties for groups of Lie type, and derive consequences of it. These degrees are a crucial piece of data in the geometric version of Broué’s abelian defect group conjecture, and can be used to verify this geometric conjecture in new cases. The geometric version of Broué...
متن کاملCompleting the Brauer Trees for the Sporadic Simple Lyons Group
In this paper we complete the Brauer trees for the sporadic simple Lyons group Ly in characteristics 37 and 67. The results are obtained using tools from computational representation theory, in particular a new condensation technique, and with the assistance of the computer algebra systems MeatAxe and GAP.
متن کاملBrauer Trees for the Schur Cover of the Symmetric Group
We determine the Brauer trees of the faithful blocks of weight 1 of the Schur covers of the symmetric group and the alternating group in odd
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1990
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90228-a