论辫子型与带型幺正融合范畴
量子代数
2024-12-10 v3
摘要
我们证明幺正融合范畴上的每一个辫子结构自动是幺正的，并且每个幺正辫子融合范畴允许唯一的幺正带结构。
引用
@article{arxiv.1209.2022,
title = {On braided and ribbon unitary fusion categories},
author = {César Galindo},
journal= {arXiv preprint arXiv:1209.2022},
year = {2024}
}
备注
In this version, Proposition 3.1, which discussed the equality of the unitary center and the ordinary center, has been removed. While these centers are equivalent as braided fusion categories, the unitary center is generally a non-replete subcategory. The proof of Theorem 3.2 has been revised to avoid reliance on this proposition