Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups.

DOI10.1007/s00220-008-0441-5zbMath1139.16028arXiv0705.0665OpenAlexW3102665939MaRDI QIDQ926260

Deepak Naidu, Dmitri Nikshych

Publication date: 27 May 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0665

zbMATH Keywords

fusion categoriestwisted quantum doubles of finite groupsbraided tensor categoriesLagrangian subcategories of representation categories

Mathematics Subject Classification ID

Related Items (19)

Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Weakly group-theoretical and solvable fusion categories ⋮ Homomorphisms and rigid isomorphisms of twisted group doubles ⋮ Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories ⋮ Finite-dimensional Nichols algebras over the Suzuki algebras. I: Simple Yetter-Drinfeld modules of \(A_{N\,2n}^{\mu\lambda}\) ⋮ Unnamed Item ⋮ Minimal example of non-isocategorical groups that are categorically Morita equivalent ⋮ Kernels of representations of Drinfeld doubles of finite groups. ⋮ Quasitriangular structures of the double of a finite group ⋮ On the Brauer-Picard groups of fusion categories ⋮ On finite symmetries and their gauging in two dimensions ⋮ Tensor functors between Morita duals of fusion categories ⋮ Modular invariants for group-theoretical modular data. I ⋮ On braided fusion categories. I ⋮ The quantum double model with boundary: condensations and symmetries ⋮ On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories ⋮ Galois orbits of TQFTs: symmetries and unitarity ⋮ Anyon condensation: coherent states, symmetry enriched topological phases, Goldstone theorem, and dynamical rearrangement of symmetry ⋮ Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

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