Constructing new braided \(T\)-categories over weak Hopf algebras.

DOI10.1007/S10485-008-9175-YzbMath1207.16036OpenAlexW2078630494MaRDI QIDQ988087

Ling Liu, Shuan-Hong Wang

Publication date: 26 August 2010

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-008-9175-y

zbMATH Keywords

weak Hopf algebrasYetter-Drinfeld modulesbraided categoriesquasitriangular weak coalgebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (11)

The construction of braided \(T\)-categories via Yetter-Drinfeld-Long bimodules ⋮ Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras ⋮ Constructing new braided T-categories over monoidal Hom-Hopf algebras ⋮ New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras ⋮ New Turaev braided group categories and group Schur-Weyl duality. ⋮ Drinfel’d construction for Hom–Hopf T-coalgebras ⋮ The antipode of a quasitriangular quasi-Turaev group coalgebra is bijective ⋮ Gauge transformations for quasitriangular quasi-Turaev group coalgebras ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras ⋮ Endomorphism algebras over weak (α, β)-Yetter–Drinfeld modules ⋮ A new approach to the constructions of braided T-categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category.
• Braided tensor categories
• Hopf group-coalgebras
• Braided compact closed categories with applications to low dimensional topology
• Invariants of knots and 3-manifolds from quantum groupoids
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• Yetter-Drinfeld modules for crossed structures.
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• New Braided Crossed Categories and Drinfel'd Quantum Double for Weak Hopf Group Coalgebras
• The Brauer group of Yetter-Drinfel’d module algebras
• Doi-hopf modules over weak hopf algebras
• HOPF–CYCLIC HOMOLOGY AND RELATIVE CYCLIC HOMOLOGY OF HOPF–GALOIS EXTENSIONS
• A Categorical Approach to Turaev's Hopf Group-Coalgebras
• Quantum invariants of knots and 3-manifolds

This page was built for publication: Constructing new braided \(T\)-categories over weak Hopf algebras.