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On the Cohomology of Deligne-Lusztig Varieties
Cohomology of Deligne-Lusztig Varieties Representation Theory Group Theory
2011/8/31
Abstract: 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. ...
We show that for any compact connected group G the second cohomology group defined by unitary invariant 2-cocycles on \hat G is canonically isomorphic to H^2(\widehat{Z(G)};T). This implies that the ...