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Dec 22, 2022 at 12:06 vote accept Windi
Feb 26, 2021 at 13:45 answer added Mikhail Borovoi timeline score: 2
Feb 25, 2021 at 16:29 comment added Windi Thanks. For Question 1, I mean G(F). (I edited the question.) Also for Question 2, do you know any reference for it?
Feb 25, 2021 at 16:28 history edited Windi CC BY-SA 4.0
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Feb 25, 2021 at 10:06 comment added Mikhail Borovoi In Question 2 for a connected reductive group $G$ over an algebraically closed field $F$ of characteristic 0, the answer is Yes.
Feb 25, 2021 at 9:56 comment added Mikhail Borovoi In Question 1, if $F$ is a local field ($\Bbb R$, or $\Bbb C$, or a $p$-adic field), then the answer is Yes for any connected algebraic group $G$, not necessarily reductive or linear.
Feb 25, 2021 at 9:42 comment added Mikhail Borovoi In Question 1, do you mean the square map on $F$-points $G(F)\to G(F)$?
Feb 25, 2021 at 0:06 history edited YCor CC BY-SA 4.0
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Feb 25, 2021 at 0:04 history asked Windi CC BY-SA 4.0