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arXiv · 2004.08735

Structure, examples and classification for generalized near-group fusion categories

Jingcheng Dong·Hua Sun
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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.

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Jingcheng Dong, Hua Sun. 2020-04-19. Structure, examples and classification for generalized near-group fusion categories. https://doi.org/10.1016/j.jalgebra.2020.10.013

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