Frobenius-Schur indicators for near-group and Haagerup-Izumi fusion categories

DOI10.2140/pjm.2019.303.337zbMath1442.18041arXiv1510.05696OpenAlexW1792507756MaRDI QIDQ2305454

Henry Tucker

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05696

zbMATH Keywords

Hopf algebrasFrobenius-Schur indicatorfusion rulestensor categoryHaagerup subfactormodular dataDrinfel'd center

Mathematics Subject Classification ID

Subfactors and their classification (46L37) Hopf algebras and their applications (16T05) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (3)

Categorification of integral group rings extended by one dimension ⋮ Algebraic realization of noncommutative near-group fusion categories ⋮ Higher Gauss sums of modular categories

Cites Work

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• Non-unitary fusion categories and their doubles via endomorphisms
• The exoticness and realisability of twisted Haagerup--Izumi modular data
• Frobenius-Schur indicators in Tambara-Yamagami categories
• Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras.
• Frobenius-Schur indicators and exponents of spherical categories.
• Indicators of Tambara-Yamagami categories and Gauss sums
• Tensor categories with fusion rules of self-duality for finite abelian groups
• The structure of sectors associated with Longo-Rehren inclusions. I: General theory
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• Near-group fusion categories and their doubles
• Quadratic forms on finite groups, and related topics
• On the groups \(H(\Pi,n)\). I
• On the groups \(H(\Pi,n)\). II
• ON THE TURAEV-VIRO-OCNEANU INVARIANT OF 3-MANIFOLDS DERIVED FROMTHE E6-SUBFACTOR
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• Tensor Categories
• Central invariants and higher indicators for semisimple quasi-Hopf algebras
• A Frobenius-Schur theorem for Hopf algebras

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