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arXiv · 2505.19153

On Grothedieck rings of rank $4$ self-dual fusion categories

Jingcheng Dong
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Abstract

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.

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Jingcheng Dong. 2025-05-25. On Grothedieck rings of rank $4$ self-dual fusion categories. https://arxiv.org/abs/2505.19153

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