The inclusion order on Borel orbits in the height-2 nilpotent locus of an almost simple group matches the Bruhat order on affine Weyl group involutions attached to strongly orthogonal root sets.
Brion, On orbit closures of spherical subgroups in flag varieties , Comment
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Nilpotent orbits of height 2 and involutions in the affine Weyl group
The inclusion order on Borel orbits in the height-2 nilpotent locus of an almost simple group matches the Bruhat order on affine Weyl group involutions attached to strongly orthogonal root sets.