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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.09177 |
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| _version_ | 1866915239939801088 |
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| author | Nishiyama, Kyo Tauchi, Taito |
| author_facet | Nishiyama, Kyo Tauchi, Taito |
| contents | Let $G$ be the indefinite unitary group $U(p,p)$, $H\simeq GL_{p}(\mathbb{C})$ its symmetric subgroup, $P_{S}$ the Siegel parabolic subgroup of $G$, and $B_{H}$ a Borel subgroup of $H$. In this article, we give a classification of the orbit decomposition $H\backslash (H/B_{H}\times G/P_{S})$ of the real double flag variety by using the Galois cohomology in the case where $p=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real double flag variety for the symmetric pair $(U(p,p),GL_{p}(\mathbb{C}))$ and Galois cohomology Nishiyama, Kyo Tauchi, Taito Representation Theory Primary 14M15, Secondary 05E14, 11E72, 22E46 Let $G$ be the indefinite unitary group $U(p,p)$, $H\simeq GL_{p}(\mathbb{C})$ its symmetric subgroup, $P_{S}$ the Siegel parabolic subgroup of $G$, and $B_{H}$ a Borel subgroup of $H$. In this article, we give a classification of the orbit decomposition $H\backslash (H/B_{H}\times G/P_{S})$ of the real double flag variety by using the Galois cohomology in the case where $p=2$. |
| title | Real double flag variety for the symmetric pair $(U(p,p),GL_{p}(\mathbb{C}))$ and Galois cohomology |
| topic | Representation Theory Primary 14M15, Secondary 05E14, 11E72, 22E46 |
| url | https://arxiv.org/abs/2504.09177 |