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arXiv · 1309.5026

Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories

Dmitri Nikshych·Brianna Riepel
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Abstract

We analyze the action of the Brauer-Picard group of a pointed fusion category on the set of Lagrangian subcategories of its center. Using this action we compute the Brauer-Picard groups of pointed fusion categories associated to several classical finite groups. As an application, we construct new examples of weakly group-theoretical fusion categories.

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Dmitri Nikshych, Brianna Riepel. 2013-09-19. Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories. https://arxiv.org/abs/1309.5026

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