等价融合子类

Pub Date : 2024-02-06 DOI:10.1007/s00031-023-09838-9

César Galindo, Corey Jones

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引用次数: 0

摘要

我们为所有融合子范畴的等价化提供了一个参数化的融合范畴上的群作用。作为应用，我们对 Kac-Paljutkin 型半简单霍普夫数组的霍普夫子代数进行了分类，并恢复了有限群的扭曲量子双表示范畴的融合子范畴的奈杜-尼克什奇-维瑟斯彭分类。

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Equivariant Fusion Subcategories

We provide a parameterization of all fusion subcategories of the equivariantization by a group action on a fusion category. As applications, we classify the Hopf subalgebras of a family of semisimple Hopf algebras of Kac-Paljutkin type and recover Naidu-Nikshych-Witherspoon classification of the fusion subcategories of the representation category of a twisted quantum double of a finite group.

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