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Feb 18, 2014 at 13:27 vote accept Oliver Straser
Feb 18, 2014 at 12:30 answer added ACL timeline score: 13
Feb 18, 2014 at 11:45 comment added Sasha Anan'in You can replace "reductive" by "linear". Then a more elementary (than S. Carnahan's) answer could consist in taking $\text{GL}$ in place of $G$ closed in $\text{GL}$ and in seeing the fact directly, without "dumb calculations".
Feb 18, 2014 at 10:56 comment added S. Carnahan Your notation is unfortunate. I suspect you mean the Weil restriction $\operatorname{Res}^{J^\ell}_{J^1} G_{J^\ell}$ instead of the group $G(J^\ell)$ of $J^\ell$-rational points. Algebraicity follows from the facts that $J^1 \to J^\ell$ is finite and flat, and $G$ is affine of finite type.
Feb 18, 2014 at 10:44 history asked Oliver Straser CC BY-SA 3.0