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

By D. Nikshych, Brianna Riepel. 2013

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8594e9ebaf6782fd1782b344f60da2ea35c69d5d