Symmetric pairs and branching laws
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866917572868308992 |
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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 |