Rigidity, counting and equidistribution of quaternionic Cartan chains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917048368496640 |
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| author | Parkkonen, Jouni Paulin, Frédéric |
| author_facet | Parkkonen, Jouni Paulin, Frédéric |
| contents | We prove an analog of Cartan's theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_05130 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Rigidity, counting and equidistribution of quaternionic Cartan chains Parkkonen, Jouni Paulin, Frédéric Number Theory Differential Geometry Group Theory 11N45 (Primary) 11E39, 11F06, 11N45, 20G20, 53C17, 53C55 (Secondary) We prove an analog of Cartan's theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group. |
| title | Rigidity, counting and equidistribution of quaternionic Cartan chains |
| topic | Number Theory Differential Geometry Group Theory 11N45 (Primary) 11E39, 11F06, 11N45, 20G20, 53C17, 53C55 (Secondary) |
| url | https://arxiv.org/abs/2002.05130 |