Equivariant Fusion Subcategories
Open Access
- 6 February 2024
- journal article
- research article
- Published by Springer Nature in Transformation Groups
- Vol. 30 (1) , 267-282
Abstract
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.Keywords
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Funding Information
- NSF (DMS 1901082/2100531)
- Facultad de Ciencias, Universidad de los Andes (INV-2020-105-2074)
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