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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.07667 |
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| _version_ | 1866909455489171456 |
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| author | Ardakov, Konstantin Schmidt, Tobias |
| author_facet | Ardakov, Konstantin Schmidt, Tobias |
| contents | We prove a general irreducibility result for geometrically induced coadmissible equivariant $\mathcal{D}$-modules on rigid analytic spaces. As an application, we geometrically reprove the irreducibility of certain locally analytic representations previously constructed by Orlik-Strauch. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07667 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces Ardakov, Konstantin Schmidt, Tobias Number Theory 14G22, 32C38 We prove a general irreducibility result for geometrically induced coadmissible equivariant $\mathcal{D}$-modules on rigid analytic spaces. As an application, we geometrically reprove the irreducibility of certain locally analytic representations previously constructed by Orlik-Strauch. |
| title | Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces |
| topic | Number Theory 14G22, 32C38 |
| url | https://arxiv.org/abs/2501.07667 |