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Results tagged with reductive-groups
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user 47722
A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial
3
votes
Split rank of inner forms
Whilst trying to understand the answer of Loren, I finally came up with an elementary explanation (no need for Steinberg’s result). Since it also gives another picture of the situation, I think it’s w …
- 1,017
5
votes
$G(k)/H(k)$ as a submanifold of $G/H(k)$
From the number of votes, it seems that the useful comment of Laurent Moret-Bailly has been under appreciated, so I thought it would be useful to explicitly record what the main theorem in the linked …