Apartment classes of integral symplectic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866908729014747136 |
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| author | Brück, Benjamin Sroka, Robin J. |
| author_facet | Brück, Benjamin Sroka, Robin J. |
| contents | In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of $\operatorname{Sp_{2n}}(\mathbb{Q})$ is a cyclic $\operatorname{Sp_{2n}}(\mathbb{Z})$-module, generated by integral apartment classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17697 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Apartment classes of integral symplectic groups Brück, Benjamin Sroka, Robin J. Algebraic Topology Group Theory Number Theory 11F75, 20E42, 55U10 In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of $\operatorname{Sp_{2n}}(\mathbb{Q})$ is a cyclic $\operatorname{Sp_{2n}}(\mathbb{Z})$-module, generated by integral apartment classes. |
| title | Apartment classes of integral symplectic groups |
| topic | Algebraic Topology Group Theory Number Theory 11F75, 20E42, 55U10 |
| url | https://arxiv.org/abs/2305.17697 |