Lattices in $\R^n\rtimes\SL_2(\R)$
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_ | 1866910537307127808 |
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| author | Radhika, M. M. Singh, Sandip |
| author_facet | Radhika, M. M. Singh, Sandip |
| contents | We determine the existence of cocompact lattices in groups of the form $\V\rtimes\SL_2(\R)$, where $\V$ is a finite dimensional real representation of $\SL_2(\R)$. It turns out that the answer depends on the parity of $\dim(\V)$ when the representation is irreducible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10269 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lattices in $\R^n\rtimes\SL_2(\R)$ Radhika, M. M. Singh, Sandip Group Theory We determine the existence of cocompact lattices in groups of the form $\V\rtimes\SL_2(\R)$, where $\V$ is a finite dimensional real representation of $\SL_2(\R)$. It turns out that the answer depends on the parity of $\dim(\V)$ when the representation is irreducible. |
| title | Lattices in $\R^n\rtimes\SL_2(\R)$ |
| topic | Group Theory |
| url | https://arxiv.org/abs/2304.10269 |