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Nov 27, 2019 at 6:59 comment added Venkataramana If $G$ is abelian, then there is a splitting, since the $G$ action is trivial. As you say, since $char (k)=0$, there is a splitting if $G$ is reductive.
Nov 5, 2019 at 17:45 history asked freeRmodule CC BY-SA 4.0