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arXiv · 1603.04318

On the Brauer-Picard groups of fusion categories

Ian Marshall·Dmitri Nikshych
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Abstract

We develop methods of computation of the Brauer-Picard groups of fusion categories and apply them to compute such groups for several classes of fusion categories of prime power dimension: representation categories of elementary abelian groups with twisted associativity constraint, extra special p-groups, and the Kac-Paljutkin Hopf algebra. We conclude that many finite groups of Lie type occur as composition factors of the Brauer-Picard groups of pointed fusion categories.

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Ian Marshall, Dmitri Nikshych. 2016-03-14. On the Brauer-Picard groups of fusion categories. https://arxiv.org/abs/1603.04318

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