On Grothedieck rings of rank $4$ self-dual fusion categories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910972453584896 |
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| author | Dong, Jingcheng |
| author_facet | Dong, Jingcheng |
| contents | Let $\C$ be a self-dual fusion category of rank $4$ which has a nontrivial proper fusion subcategory. We identify three new families of Grothendieck rings for $\C$: one of them is completely determined, the other two are parameterized by several non-negative integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Grothedieck rings of rank $4$ self-dual fusion categories Dong, Jingcheng Quantum Algebra 18D10 Let $\C$ be a self-dual fusion category of rank $4$ which has a nontrivial proper fusion subcategory. We identify three new families of Grothendieck rings for $\C$: one of them is completely determined, the other two are parameterized by several non-negative integers. |
| title | On Grothedieck rings of rank $4$ self-dual fusion categories |
| topic | Quantum Algebra 18D10 |
| url | https://arxiv.org/abs/2505.19153 |