COHOMOLOGY OF DELIGNE-LUSZTIG VARIETIES FOR UNIPOTENT BLOCKS OF GLn(q)
نویسنده
چکیده
We study the cohomology of parabolic Deligne-Lusztig varieties associated to unipotent blocks of GLn(q). We show that the geometric version of Broué’s conjecture over Q , together with Craven’s formula, holds for any unipotent block whenever it holds for the principal Φ1-block.
منابع مشابه
Cohomology 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...
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