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Bibliographic Details
Main Author: Paradan, Paul-Emile
Format: Preprint
Published: 2018
Subjects:
Online Access:https://arxiv.org/abs/1806.07642
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author Paradan, Paul-Emile
author_facet Paradan, Paul-Emile
contents Let $G$ be a compact connected Lie group and let H be a subgroup fixed by an involution. A classical result assures that the action of the complex reductive group $H_C$ on the flag variety $F$ of $G$ admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair $(G,H)$ that is parametrized by $H_C\backslash F$.
format Preprint
id arxiv_https___arxiv_org_abs_1806_07642
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Symmetric pairs and branching laws
Paradan, Paul-Emile
Representation Theory
Differential Geometry
Let $G$ be a compact connected Lie group and let H be a subgroup fixed by an involution. A classical result assures that the action of the complex reductive group $H_C$ on the flag variety $F$ of $G$ admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair $(G,H)$ that is parametrized by $H_C\backslash F$.
title Symmetric pairs and branching laws
topic Representation Theory
Differential Geometry
url https://arxiv.org/abs/1806.07642