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.

中文翻译：

---

各向同性标志变量和相关分枝规则的球面作用

令G为辛或特殊正交群，令H为G的连通还原子群，令X为G的标志变体。我们对所有三元组（G，H，X）进行分类，以使H对X的自然作用为球形。对于这些三元组中的每一个，我们确定在X上同质线束的截面空间中实现的G的所有不可约表示对H的限制。