Matsuki duality for loop groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917429021507584 |
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| author | Chen, Tsao-Hsien Yi, Lingfei |
| author_facet | Chen, Tsao-Hsien Yi, Lingfei |
| contents | We establish versions of Matsuki duality for loop groups. The main result is a bijection between symmetric loop group orbits and real polynomial loop group orbits on the affine Grassmannians or affine flag varieties. Along the way we obtain orbit parametrizations and make connections with vector bundles on real and twistor-$\mathbb P^1$ and Kottwitz sets . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15712 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Matsuki duality for loop groups Chen, Tsao-Hsien Yi, Lingfei Representation Theory Algebraic Geometry Number Theory We establish versions of Matsuki duality for loop groups. The main result is a bijection between symmetric loop group orbits and real polynomial loop group orbits on the affine Grassmannians or affine flag varieties. Along the way we obtain orbit parametrizations and make connections with vector bundles on real and twistor-$\mathbb P^1$ and Kottwitz sets . |
| title | Matsuki duality for loop groups |
| topic | Representation Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2604.15712 |