Fusion categories in terms of graphs and relations.

DOI10.4171/QT/24zbMath1266.16035arXiv0912.0342MaRDI QIDQ654916

Hendryk Pfeiffer

Publication date: 23 December 2011

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0342

zbMATH Keywords

weak Hopf algebrastensor powerstensor productsSchur-Weyl dualitybraided monoidal categoriesmodular categoriespath algebras of quiversbraidingsfusion categoriesweak bialgebrascategories of finite-dimensional comodulesTannaka-Kreĭn reconstruction

Mathematics Subject Classification ID

Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items

Algebraic properties of face algebras, Weak bialgebras of fractions.

Cites Work

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• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Face algebras and unitarity of SU\((N)_L\)-TQFT
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
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• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace