Invertible exterior powers
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915447212867584 |
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| author | Coulembier, Kevin |
| author_facet | Coulembier, Kevin |
| contents | We present a proof of the fact that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we prove two recent conjectures on dimensions in symmetric monoidal categories by Baez, Moeller and Trimble and further conjectures by Baez and Trimble. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invertible exterior powers Coulembier, Kevin Category Theory We present a proof of the fact that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we prove two recent conjectures on dimensions in symmetric monoidal categories by Baez, Moeller and Trimble and further conjectures by Baez and Trimble. |
| title | Invertible exterior powers |
| topic | Category Theory |
| url | https://arxiv.org/abs/2507.14803 |