The Category Types of Extensions of a Tambara-Yamagami Category

Abstract

In this paper, we study the group extension of a Tambara-Yamagami cate-gory which has Frobenius-Perron dimension 2pq, where p,q are prime numbers. We prove that there are two possible category types when p≠q, and five possible category types when p = q.

Keywords

Fusion category / extension / Tambara-Yamagami category / category type