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arXiv · 1707.03381

Classification of Pointed Fusion Categories of dimension 8 up to weak Morita Equivalence

Alvaro Muñoz·Bernardo Uribe
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Abstract

In this paper we give a complete classification of pointed fusion categories over $\mathbb{C}$ of global dimension 8. We first classify the equivalence classes of pointed fusion categories of dimension 8, and then we proceed to determine which of these equivalence classes have equivalent categories of modules. This classificaction permits to classify the equivalence classes of braded tensor equivalences of twisted Drinfeld doubles of finite groups of order 8.

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Alvaro Muñoz, Bernardo Uribe. 2017-07-11. Classification of Pointed Fusion Categories of dimension 8 up to weak Morita Equivalence. https://doi.org/10.1080/00927872.2018.1427243

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