Structure, examples and classification for generalized near-group fusion categories
Quantum Algebra
2022-05-19 v1
Abstract
We describe the structure of a generalized near-group fusion category and present an example of this class of fusion categories which arises from the extension of a Fibonacci category. We then classify slightly degenerate generalized near-group fusion categories. We also prove a structure result for braided generalized Tambara-Yamagami fusion categories.
Keywords
Cite
@article{arxiv.2004.08735,
title = {Structure, examples and classification for generalized near-group fusion categories},
author = {Jingcheng Dong and Hua Sun},
journal= {arXiv preprint arXiv:2004.08735},
year = {2022}
}
Comments
21 pages. This paper is a refinement of arxiv:1808.04100 and arxiv:1903.08793