Fusion rules of equivariantizations of fusion categories

DOI10.1063/1.4774293zbMath1284.18014arXiv1206.6625OpenAlexW3098228945MaRDI QIDQ5396249

Sonia Natale, Sebastian Burciu

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1206.6625

Mathematics Subject Classification ID

Related Items (23)

Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category ⋮ The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ On Müger's centralizer in braided equivariantized fusion categories ⋮ Modular categories of dimension $p^3m$ with $m$ square-free ⋮ Irrational braided generalized near-groups ⋮ K-theoretic classification of inductive limit actions of fusion categories on AF-algebras ⋮ G‐crossed braided zesting ⋮ The core of a weakly group-theoretical braided fusion category ⋮ Simple objects in equivariantized module categories ⋮ Dimension as a quantum statistic and the classification of metaplectic categories ⋮ On monoidal group actions on tensor categories and their Green functors ⋮ On the classification of almost square-free modular categories ⋮ Group actions on 2-categories ⋮ On fusion rules and solvability of a fusion category ⋮ On weakly group-theoretical non-degenerate braided fusion categories ⋮ On gauging symmetry of modular categories ⋮ Fusion rules for Z/2Z permutation gauging ⋮ Rank-finiteness for modular categories ⋮ On normal tensor functors and coset decompositions for fusion categories ⋮ Existence of Tannakian Subcategories and its Applications ⋮ Computing fusion rules for spherical \(G\)-extensions of fusion categories ⋮ On the Grothendieck rings of equivariant fusion categories ⋮ Classification of rank 5 premodular categories

Cites Work

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• Another realization of the category of modules over the small quantum group
• Exact Sequences of Tensor Categories
• Fusion Subcategories of Representation Categories of Twisted Quantum Doubles of Finite Groups
• Invariants and semi-direct products for finite group actions on tensor categories

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