Mathematics > Algebraic Geometry
[Submitted on 3 Dec 2018 (v1), last revised 29 Jun 2020 (this version, v4)]
Title:Spherical actions on isotropic flag varieties and related branching rules
View PDFAbstract: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 $X$.
Submission history
From: Roman Avdeev [view email][v1] Mon, 3 Dec 2018 18:04:18 UTC (41 KB)
[v2] Mon, 18 Feb 2019 14:52:20 UTC (43 KB)
[v3] Fri, 8 Nov 2019 15:50:21 UTC (45 KB)
[v4] Mon, 29 Jun 2020 16:12:10 UTC (45 KB)
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