On some integral properties of dimensions in Isaacs fusion categories
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908443062829056 |
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| author | Burciu, S. |
| author_facet | Burciu, S. |
| contents | For a fusion category, we prove some new integral properties concerning the dimension of a simple object that generates a Isaacs fusion subcategory. A stronger divisibility result is proven for any modular fusion category. This divisibility result implies the converse direction of a Ito-Michler type result for modular fusion categories, recently established by the author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On some integral properties of dimensions in Isaacs fusion categories Burciu, S. Quantum Algebra Category Theory Representation Theory For a fusion category, we prove some new integral properties concerning the dimension of a simple object that generates a Isaacs fusion subcategory. A stronger divisibility result is proven for any modular fusion category. This divisibility result implies the converse direction of a Ito-Michler type result for modular fusion categories, recently established by the author. |
| title | On some integral properties of dimensions in Isaacs fusion categories |
| topic | Quantum Algebra Category Theory Representation Theory |
| url | https://arxiv.org/abs/2507.07329 |