The Category Types of Extensions of a Tambara-Yamagami Category

Authors

  • Kai Wang
  • Jingcheng Dong

DOI:

https://doi.org/10.4208/jms.v57n4.24.02

Keywords:

Fusion category, extension, Tambara-Yamagami category, category type.

Abstract

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 $p=q.$

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Published

2024-12-13

Issue

Vol. 57 No. 4 (2024)

Section

Articles