Braided ℤ_{𝕢}-extensions of pointed fusion categories-Reference-Cited by-同舟云学术

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Braided ℤ_{𝕢}-extensions of pointed fusion categories

Published:2016-09-15 Issue:3 Volume:145 Page:995-1001
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dong Jingcheng

Abstract

We classify braided Z q \mathbb {Z}_q -extensions of pointed fusion categories, where q q is a prime number. As an application, we classify modular categories of Frobenius-Perron dimension q 3 q^3 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2017-145-03/S0002-9939-2016-13275-9/S0002-9939-2016-13275-9.pdf

Reference10 articles.

1. V. Drinfeld, S. Gelaki, D. Nikshych, V. Ostrik, Group-theoretical properties of nilpotent modular categories, preprint arXiv:0704.0195.

2. On braided fusion categories. I;Drinfeld, Vladimir;Selecta Math. (N.S.),2010

3. On fusion categories;Etingof, Pavel;Ann. of Math. (2),2005

4. Weakly group-theoretical and solvable fusion categories;Etingof, Pavel;Adv. Math.,2011

5. Nilpotent fusion categories;Gelaki, Shlomo;Adv. Math.,2008

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Braided Extensions of a Pointed Fusion Category with Prime Dimension;Algebra Colloquium;2020-05-07

2. On the Classification of Almost Square-Free Modular Categories;Algebras and Representation Theory;2017-11-16

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