等价融合子类

IF 0.4 3区数学 Q4 MATHEMATICS

Transformation Groups 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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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.