The Category Types of Extensions of a Tambara-Yamagami Category
In this paper, we study the group extension of a Tambara-Yamagami category which has Frobenius-Perron dimension $2pq,$ where $p,q$ are prime numbers. We prove that there are two possible category types when $p\ne q,$ and five possible category types when $p=q.$
Authors
- Kai Wang null
- Jingcheng Dong
Publication Details
- Journal
- Journal of Mathematical Study
- Published
- 2024-12-13
- DOI
- https://doi.org/10.4208/jms.v57n4.24.02
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00