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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Braided $\mathbb {Z}_q$-extensions of pointed fusion categories
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by Jingcheng Dong PDF
Proc. Amer. Math. Soc. 145 (2017), 995-1001 Request permission

Abstract:

We classify braided $\mathbb {Z}_q$-extensions of pointed fusion categories, where $q$ is a prime number. As an application, we classify modular categories of Frobenius-Perron dimension $q^3$.
References
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Additional Information
  • Jingcheng Dong
  • Affiliation: College of Engineering, Nanjing Agricultural University, Nanjing 210031, People’s Republic of China
  • MR Author ID: 710817
  • Email: dongjc@njau.edu.cn
  • Received by editor(s): August 14, 2015
  • Received by editor(s) in revised form: May 4, 2016
  • Published electronically: September 15, 2016
  • Communicated by: Kailash Misra
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 995-1001
  • MSC (2010): Primary 18D10; Secondary 16T05
  • DOI: https://doi.org/10.1090/proc/13275
  • MathSciNet review: 3589299