Frobenius-Perron Dimensions of Conjugacy Classes and an Ito-Michler-Type Result in Modular Fusion Categories
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929576040464384 |
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| author | Burciu, S. |
| author_facet | Burciu, S. |
| contents | The influence of certain arithmetic conditions on the sizes of conjugacy classes of a finite group on the group structure has been extensively studied in recent years. In this paper, we explore analogous properties for fusion categories. In particular, we establish an Ito-Michler-type result for modular fusion categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frobenius-Perron Dimensions of Conjugacy Classes and an Ito-Michler-Type Result in Modular Fusion Categories Burciu, S. Quantum Algebra Category Theory Representation Theory The influence of certain arithmetic conditions on the sizes of conjugacy classes of a finite group on the group structure has been extensively studied in recent years. In this paper, we explore analogous properties for fusion categories. In particular, we establish an Ito-Michler-type result for modular fusion categories. |
| title | Frobenius-Perron Dimensions of Conjugacy Classes and an Ito-Michler-Type Result in Modular Fusion Categories |
| topic | Quantum Algebra Category Theory Representation Theory |
| url | https://arxiv.org/abs/2410.05709 |