On the equivalence of module categories over a group-theoretical fusion category

DOI10.3842/SIGMA.2017.042zbMath1437.18011arXiv1608.04435MaRDI QIDQ2360310

Sonia Natale

Publication date: 3 July 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04435

zbMATH Keywords

module categoryfusion categorygroup-theoretical fusion category

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (11)

Multifusion categories and finite semisimple 2-categories ⋮ Boundary and domain wall theories of 2d generalized quantum double model ⋮ Compact semisimple 2-categories ⋮ The relative Deligne tensor product over pointed braided fusion categories ⋮ The 2-Deligne tensor product ⋮ Algebraic structures in group-theoretical fusion categories ⋮ Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension \(p^{3}\) and \(pq^{2}\) ⋮ Cocycle deformations and Galois objects of semisimple Hopf algebras of dimension 16 ⋮ Equivalence classes of exact module categories over graded tensor categories ⋮ Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension pqr ⋮ Braid group representations from braiding gapped boundaries of Dijkgraaf-Witten theories

Cites Work

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• Crossed pointed categories and their equivariantizations
• Non-group-theoretical semisimple Hopf algebras from group actions on fusion categories.
• On group theoretical Hopf algebras and exact factorizations of finite groups.
• Hopf bimodules, coquasibialgebras, and an exact sequence of Kac
• On the Brauer-Picard groups of fusion categories
• Semisimple Hopf algebras of dimension \(6\), \(8\)
• Tensor Categories

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