On the gauge equivalence of twisted quantum doubles of elementary Abelian and extra-special 2-groups.

DOI10.1016/j.jalgebra.2006.10.022zbMath1171.16021arXivmath/0603191OpenAlexW2086094760MaRDI QIDQ2370249

Geoffrey Mason, Siu-Hung Ng, Christopher D. Goff

Publication date: 22 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0603191

zbMATH Keywords

group cohomologyquasi-Hopf algebrasFrobenius-Schur indicatorsbraided tensor categoriesFrobenius-Schur exponentstwisted quantum doublesbraided tensor equivalences

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Modular categories are not determined by their modular data, Classification of Pointed Fusion Categories of dimension 8 up to weak Morita equivalence, Examples of non-$FSZ$ $p$-groups for primes greater than three, Homomorphisms and rigid isomorphisms of twisted group doubles, Automorphisms of the doubles of purely non-abelian finite groups, Fermionic modular categories and the 16-fold way, Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups., Quasitriangular structures of the double of a finite group, A higher Frobenius-Schur indicator formula for group-theoretical fusion categories, On the Brauer-Picard groups of fusion categories, Categorical Morita Equivalence for Group-Theoretical Categories, Congruence subgroups and generalized Frobenius-Schur indicators, Classifying braidings on fusion categories, Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

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