A decomposition of the Brauer-Picard group of the representation category of a finite group

DOI10.1016/j.jalgebra.2017.05.041zbMath1393.18004arXiv1506.07832OpenAlexW2962792380MaRDI QIDQ1682044

Jan Priel, Simon Lentner

Publication date: 28 November 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07832

zbMATH Keywords

finite groupDrinfeld centerbraided autoequivalenceBrauer-Picard groupfinite dimensional Hopf algebrafinite tensor category

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35) Brauer groups (algebraic aspects) (16K50) Hopf algebras and their applications (16T05)

Related Items (7)

't Hooft anomalies of discrete gauge theories and non-abelian group cohomology ⋮ Homomorphisms and rigid isomorphisms of twisted group doubles ⋮ On the Brauer-Picard groups of fusion categories ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ On monoidal autoequivalences of the category of Yetter-Drinfeld modules over a group: the lazy case ⋮ On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \) ⋮ On Hopf algebras with triangular decomposition

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