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

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.

preprint2013arXivOpen access
Dmitri NikshychBrianna Riepel
math.CTmath.QA
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Dmitri NikshychBrianna Riepel

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