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Aug 28, 2019 at 8:56 comment added Mare Oh,right. This is the same proof that I know as for $i=1$ but I forgot about it. It also works for general local cocommutative (finite dimensional) Hopf algebras. Also commutative seems to be not needed.
Aug 28, 2019 at 8:16 history answered Jeremy Rickard CC BY-SA 4.0