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Timeline for Torsors for finite group schemes

Current License: CC BY-SA 2.5

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Nov 20, 2010 at 13:52 comment added Jacob Lurie I don't know how to answer my question even in that case. Of course, when G is given as the kernel of Frobenius on a smooth group scheme, I can describe G-torsors in terms of the smooth group scheme, as mentioned in the answer below. But that's cheating: I want a description in terms of the Lie algebra. If it helps, it may be sufficient for my application to treat the "toy case" at the other extreme, where g is a free restricted Lie algebra (so G is not a finite group scheme, and some care should be taken with the meaning of "torsor", but I believe the question is still sensible).
Nov 20, 2010 at 7:35 answer added Torsten Ekedahl timeline score: 17
Nov 20, 2010 at 0:34 comment added BCnrd Jacob, in the "toy" case of commutative $G$ (perhaps even $\alpha_p$) is there an answer you have in mind, or at least desired features of such an answer?
Nov 19, 2010 at 20:58 history edited Jacob Lurie CC BY-SA 2.5
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Nov 19, 2010 at 20:46 history asked Jacob Lurie CC BY-SA 2.5