Abstract
We introduce and study the notion of slightly trivial extensions of a fusion category which can be viewed as the first level of complexity of extensions. We also provide two examples of slightly trivial extensions which arise from rank 3 fusion categories.
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Acknowledgements
The author would like to thank the referee for careful reading and insightful suggestions and comments. The author is partially supported by the startup foundation for introducing talent of NUIST (Grant No. 2018R039) and the Natural Science Foundation of China (Grant No. 11201231).
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Dong, J. Slightly trivial extensions of a fusion category. Arch. Math. 114, 19–24 (2020). https://doi.org/10.1007/s00013-019-01378-7
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DOI: https://doi.org/10.1007/s00013-019-01378-7