On the Brauer-Picard groups of fusion categories

DOI10.1007/s00209-017-1907-yzbMath1404.18018arXiv1603.04318OpenAlexW2964071113MaRDI QIDQ1745296

Xianqiang Yang

Publication date: 17 April 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04318

zbMATH Keywords

group-theoretical fusion categoryBrauer-Picard groupcategory of representationsfinite group of Lie typeKac-Paljutkin Hopf algebrafusion \(p\)-categoryintegral fusion categoryinvertible bimodule categorypointed fusion category

Mathematics Subject Classification ID

Finite abelian groups (20K01) Abelian categories, Grothendieck categories (18E10) Torsion groups, primary groups and generalized primary groups (20K10) Modular Lie (super)algebras (17B50) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (7)

On the equivalence of module categories over a group-theoretical fusion category ⋮ The Brauer–Picard groups of fusion categories coming from the ADE subfactors ⋮ Homomorphisms and rigid isomorphisms of twisted group doubles ⋮ The relative Deligne tensor product over pointed braided fusion categories ⋮ Lie theory for fusion categories: A research primer ⋮ Equivalences of graded fusion categories ⋮ Classifying braidings on fusion categories

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