Reconstructing braided subcategories of SU(N)
Reconstructing braided subcategories of SU(N)
复制标题
重建 SU(N) 的编织子类别
DOI：
10.1016/j.jalgebra.2023.08.005
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发表时间：
2023
影响因子：
0.9
通讯作者：
Rowell, Eric C.
中科院分区：
文献类型：
--
作者：
Feng, Zhaobidan;Ming, Shuang;Rowell, Eric C.
Ocneanu刚性意味着有许多（编织）融合范畴与一组给定的融合规则。虽然没有方法确定所有这些类别直到等价，但有几种情况可以确定。例如，Kazhdan和Wenzl用与SU（N）k同构的融合规则描述了所有融合类别。在本文中，我们将他们的结果推广到辫状融合范畴，并对SU（N）k的某些子范畴得到了类似的结果。
Ocneanu rigidity implies that there are finitely many (braided) fusion categories with a given set of fusion rules. While there is no method for determining all such categories up to equivalence, there are a few cases for which one can. For example, Kazhdan and Wenzl described all fusion categories with fusion rules isomorphic to those of S U (N) k. In this paper we extend their results to a statement about braided fusion categories, and obtain similar results for certain subcategories of S U (N) k.