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A reductive group is an algebraic group $G$ over an algebraically closed field such that the unipotent radical of $G$ is trivial
0
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Character which defines canonical bundle on flag variety
The confusing part here is that there is a subtlety when one passes from characters to line bundles. Let $\lambda$ be a dominant character of T. Consider the line bundle L given by $G \times_B \mathbb …
6
votes
1
answer
291
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Real forms of complex reductive groups
I have a collection of related (to me) questions, which stem from the fact that I feel like I have a bunch of pieces, but not a full clear picture. I'm curious about forms of reductive groups in gener …
3
votes
0
answers
329
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Tits Reductive Groups over Local Fields Example 1.15 (Quasi-split special unitary groups in ...
I hope this question about Tits's paper "Reductive groups over local fields" in Algebraic groups and discontinuous subgroups ends up having an easy answer, but I'm a little stuck on the morass of nota …