Spherical actions on isotropic flag varieties and related branching rules

Autor:	Avdeev, Roman, Petukhov, Alexey
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory 14M15 14M27 20G05
Zdroj:	Transformation Groups, vol. 26 (2021), no. 3, 719-774
Druh dokumentu:	Working Paper
DOI:	10.1007/s00031-020-09593-1
Popis:	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 $X$. Comment: v4: 51 pages, updated references and a few minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.00936 Zobrazit plný text záznamu View this record from Arxiv