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On the Brauer-Picard groups of fusion categories

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 نشر من قبل Dmitri Nikshych
 تاريخ النشر 2016
  مجال البحث
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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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