Irreducible \(\mathbb{Z}_{+}\)-modules of near-group fusion ring \(K(\mathbb{Z}_{3}, 3)\)

DOI10.1007/s11464-018-0709-9zbMath1396.16041OpenAlexW2809056040MaRDI QIDQ1787153

Chengtao Yuan, Ruju Zhao, Li Bin Li

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0709-9

zbMATH Keywords

fusion ringirreducible \(\mathbb{Z}_{+}\)-modulenear group ring

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Near-rings (16Y30) Structure, classification theorems for modules and ideals in commutative rings (13C05) Frobenius induction, Burnside and representation rings (19A22)

Cites Work

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• Pseudo-unitary non-self-dual fusion categories of rank 4
• Cyclotomic integers, fusion categories, and subfactors
• Tensor categories with fusion rules of self-duality for finite abelian groups
• Module categories, weak Hopf algebras and modular invariants
• Near-group categories
• Near-group fusion categories and their doubles
• On fusion categories.
• A Cuntz algebra approach to the classification of near-group categories
• Tensor Categories

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