On integral fusion categories with low-dimensional simple objects

Abstract

Let $k$ be an algebraically closedfield of characteristic zero. In this paper we consider an integral fusion category over $k$ in which the Frobenius-Perron dimensions of its simple objects are at most 3. We prove that such fusion category is of Frobenius type. In addition, we also prove that such fusion category is not simple.

6 pages, t6o appear in Communications in Algebra

References in corpus (1)

• Frobenius property for fusion categories of small integral dimension