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SPHERICAL ACTIONS ON ISOTROPIC FLAG VARIETIES AND RELATED BRANCHING RULES
Transformation Groups ( IF 0.7 ) Pub Date : 2020-07-13 , DOI: 10.1007/s00031-020-09593-1 ROMAN AVDEEV , ALEXEY PETUKHOV
中文翻译:
各向同性标志变量和相关分枝规则的球面作用
更新日期:2020-07-13
Transformation Groups ( IF 0.7 ) Pub Date : 2020-07-13 , DOI: 10.1007/s00031-020-09593-1 ROMAN AVDEEV , ALEXEY PETUKHOV
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。