Structure, examples and classification for generalized near-group fusion categories
arXiv:2004.08735 · doi:10.1016/j.jalgebra.2020.10.013
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.
21 pages. This paper is a refinement of arxiv:1808.04100 and arxiv:1903.08793