Corpus ID: 237572320

Fusion categories containing a fusion subcategory with maximal rank

@inproceedings{Dong2021FusionCC,
  title={Fusion categories containing a fusion subcategory with maximal rank},
  author={Jingcheng Dong and Gang Chen and Zhihua Wang},
  year={2021}
}
  • Jingcheng Dong, Gang Chen, Zhihua Wang
  • Published 18 September 2021
  • Mathematics
In this paper, we study fusion categories which contain a proper fusion subcategory with maximal rank. They can be viewed as generalizations of near-group fusion categories. We first prove that they admit spherical structure. We then classify those which are nondegenerate or symmetric. Finally, we classify such fusion categories of rank 4. 

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