Open Condensed Subgroups and Mackey's Formula
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909430646308864 |
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| author | Tang, Jiacheng |
| author_facet | Tang, Jiacheng |
| contents | We define what it means for a condensed group action to be open (following Scholze) and show that for open subgroups, many elementary results about abstract modules hold for condensed modules, such as the existence of Mackey's Formula for condensed groups. We also indicate how these results can be "solidified" to obtain their solid versions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Open Condensed Subgroups and Mackey's Formula Tang, Jiacheng Category Theory 18B25 We define what it means for a condensed group action to be open (following Scholze) and show that for open subgroups, many elementary results about abstract modules hold for condensed modules, such as the existence of Mackey's Formula for condensed groups. We also indicate how these results can be "solidified" to obtain their solid versions. |
| title | Open Condensed Subgroups and Mackey's Formula |
| topic | Category Theory 18B25 |
| url | https://arxiv.org/abs/2412.11968 |