Two dimensional integral representations via branches of the Bruhat-Tits tree
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909798135496704 |
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| author | Aguiló-Vidal, Bruno Arenas-Carmona, Luis Saavedra-Lagos, Matías |
| author_facet | Aguiló-Vidal, Bruno Arenas-Carmona, Luis Saavedra-Lagos, Matías |
| contents | We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05661 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two dimensional integral representations via branches of the Bruhat-Tits tree Aguiló-Vidal, Bruno Arenas-Carmona, Luis Saavedra-Lagos, Matías Number Theory 20C10 (Primary) 11R33, 11R56 (Secondary) We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families. |
| title | Two dimensional integral representations via branches of the Bruhat-Tits tree |
| topic | Number Theory 20C10 (Primary) 11R33, 11R56 (Secondary) |
| url | https://arxiv.org/abs/2506.05661 |