Symmetric Pairs in Yetter–Drinfeld Categories over Weak Hopf Algebras

DOI10.1080/00927872.2014.948630zbMath1327.16020OpenAlexW1586814535MaRDI QIDQ3448312

Xiaofan Zhao, Guo-Hua Liu, Shuan-Hong Wang

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.948630

zbMATH Keywords

weak Hopf algebrassymmetric pairsYetter-Drinfeld categories\(u\)-condition

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (3)

Symmetries and theu-condition in weak monoidal Hom–Yetter–Drinfeld categories ⋮ Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories ⋮ Pseudotriangular weak Hopf algebras

Cites Work

• Unnamed Item
• Determinants and symmetries in `Yetter-Drinfeld' categories
• Face algebras and unitarity of SU\((N)_L\)-TQFT
• Coribbon Hopf (face) algebras generated by lattice models
• Symmetric Yetter-Drinfeld categories are trivial
• Invariants of knots and 3-manifolds from quantum groupoids
• New Turaev braided group categories and group Schur-Weyl duality.
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Yetter-Drinfeld modules and projections of weak Hopf algebras.

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