秩四枢轴融合范畴的Grothendieck环
Classifying Grothendieck rings of pivotal fusion categories of rank four
- Nanjing University of Information Science and Technology（南京信息工程大学）
- Beijing Institute of Mathematical Sciences and Applications（北京数学与应用科学研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文对复数域上秩四枢轴融合范畴的Grothendieck环进行了完整分类，确定恰好十五个且均可酉范畴化，并利用新障碍与穷举方法给出维数上界3600。
AI中文摘要：
我们分类了复数域上秩四枢轴融合范畴的Grothendieck环。恰好有十五个，每个都允许酉范畴化。中心归纳和Frobenius-Schur指标给出了统一的Frobenius-Perron维数上界3600。有限分类结合了新的算术与扭转障碍、穷举普查和精确排除证书。
英文摘要：
We classify the Classifying Grothendieck rings of pivotal fusion categories of rank four over the complex field. There are exactly fifteen, each admitting a unitary categorification. Central induction and Frobenius-Schur indicators give a uniform Frobenius-Perron dimension bound of 3600. The finite classification combines new arithmetic and twist obstructions with an exhaustive census and exact exclusion certificates.
