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May 23, 2011 at 15:33 comment added Philipp Hartwig Thanks a lot, this is a very neat argument. So we get the result whenever 2 is invertible on G. I'd still be very interested in an argument that also works in characteristic 2 though.
May 22, 2011 at 5:55 comment added naf Thanks; I realized this later. It's annoying though that the argument doesn't work in characteristic 2.
May 21, 2011 at 18:37 comment added Keerthi Madapusi The fact that you quote should be true for invariant forms on any commutative group scheme. After all, multiplication by $n$ is just composition of $n$-fold multiplication with the $n^{\text{th}}$ diagonal map. You just have to pick an $n$ that's invertible, and your argument should go through.
May 21, 2011 at 17:21 history answered naf CC BY-SA 3.0