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Parabolically connected subgroups. (English. Russian original) Zbl 1246.20041
Sb. Math. 202, No. 8, 1169-1182 (2011); translation from Mat. Sb. 202, No. 8, 81-94 (2011).
All reductive spherical subgroups of the group $$\text{SL}(n)$$ are found for which the intersection with every parabolic subgroup of $$\text{SL}(n)$$ is connected. This condition guarantees that open equivariant embeddings of the corresponding homogeneous spaces into Moishezon spaces are algebraic.
##### MSC:
 20G20 Linear algebraic groups over the reals, the complexes, the quaternions 14L35 Classical groups (algebro-geometric aspects)
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