Braided ${\mathbb{Z}}_q$-extensions of pointed fusion categories

Abstract

We classify braided ${\mathbb{Z}}_q$-extensions of pointed fusion categories, where $q$ is a prime number. As an application, we classify modular categories of Frobenius-Perron dimension $q^3$.

7 pages

References in corpus (2)

• Group-theoretical properties of nilpotent modular categories
• Generalized Tambara-Yamagami categories