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Jun 10, 2013 at 16:10 comment added Jim Humphreys Thanks for the detail. I'll look further into both Demazure-Gabriel and Jantzen (who based his foundations on D-G but then emphasized prime characteristic). The connected case struck me as fairly elementary, modulo Lie algebra theory in characteristic 0, but dealing with a finite component group seems to require a different level of prerequisites. (By the way, I assumed the field to be algebraically closed, to avoid getting into questions about splitting fields, etc. I'm not sure what the most natural set-up is.)
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Jun 10, 2013 at 1:23 history answered user28172 CC BY-SA 3.0