Mathematical Theory and Applications ›› 2021, Vol. 41 ›› Issue (4): 83-.

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Extension of a p2-­dimensional Fusion Category with Applications

Chen Yashu1,2 ,  Dong Jingcheng1,∗
  

  1. 1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing
    210044, China;
    2. Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055,
    China
  • Online:2021-12-30 Published:2021-12-24

Abstract:

This paper studies the extension of a p2-dimensional fusion category, obtains all possible category types, and applies it to the classification of semisimple Hopf algebras. In addition, this paper also studies the cases when the grading group is Zq and S3.

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