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On Grothedieck rings of rank $4$ self-dual fusion categories (2505.19153v2)
Published 25 May 2025 in math.QA
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.