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A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial

4 votes

Coherent cohomology of G/U, G = reductive group, B = TU Borel subgroup

Chris Brav's answer gives a nice description of the cohomology in the $D$-module context. Just to expand a bit on that, I'd like to give a direct description, and also say a word about positive charac …
Chuck Hague's user avatar
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2 votes

homogenous bundles

Section I.5 ("Quotients and associated sheaves") of Jantzen's Representations of Algebraic Groups is (at least in my mind) a standard resource for this question. (Here is a Google books link). He cons …
Chuck Hague's user avatar
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