Braided Zesting and Its Applications
Braided Zesting and Its Applications
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DOI：
10.1007/s00220-021-04002-4
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发表时间：
2020-05
影响因子：
2.4
通讯作者：
Colleen Delaney;César Galindo;J. Plavnik;E. Rowell;Qing Zhang
中科院分区：
文献类型：
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作者：
Colleen Delaney;César Galindo;J. Plavnik;E. Rowell;Qing Zhang
我们给出了由给定范畴构造新的辫子融合范畴的严格发展。这种方法过去已经被用来提供新的融合规则代数、模数据和超模范畴的最小模扩张的分类。在这里，我们提供了一个完整的障碍物理论和参数化方法来构造，并用几个例子说明了它的实用性。
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modular extensions of super-modular categories. Here we provide a complete obstruction theory and parameterization approach to the construction and illustrate its utility with several examples.