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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

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Orbit of a parahoric subgroup on a flag variety

Let $G$ a reductive group over a nonarchimedean local field $F$. Let $P_0$ be a minimal parabolic subgroup of $G$ and $A$ a maximal split torus contained in $P_0$. The normalizer $N_G(A)(F)$ acts on t …
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