On integral fusion categories with low-dimensional simple objects
Quantum Algebra
2016-05-31 v1
Abstract
Let be an algebraically closedfield of characteristic zero. In this paper we consider an integral fusion category over 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.
Keywords
Cite
@article{arxiv.1308.5386,
title = {On integral fusion categories with low-dimensional simple objects},
author = {Jingcheng Dong and Li Dai},
journal= {arXiv preprint arXiv:1308.5386},
year = {2016}
}
Comments
6 pages, t6o appear in Communications in Algebra