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arxiv: 1011.5478 · v2 · pith:SO367X7Inew · submitted 2010-11-24 · 🧮 math.RT · math.GR

Coxeter orbits and Brauer trees II

classification 🧮 math.RT math.GR
keywords coxeterassociatedassumptionsbrauercohomologydeligne-lusztigdiscusselements
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The purpose of this paper is to discuss the validity of the assumptions (W) and (S) stated in a previous work, about the torsion in the modular l-adic cohomology of Deligne-Lusztig varieties associated to Coxeter elements. We prove that both (W) and (S) hold except for groups of type E_7 or E_8.

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