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Working paper

Spherical actions on isotropic flag varieties and related branching rules

arxiv.org. math. Cornell University, 2018. No. 1812.00936.
Roman Avdeev, Petukhov A.
Let G be a symplectic or special orthogonal group, let H be a connected reductive subgroup of G, and let X be a flag variety of G. We classify all triples (G,H,X) such that the natural action of H on X is spherical. For each of these triples, we determine the restrictions to H of all irreducible representations of G realized in spaces of sections of homogeneous line bundles on X.