Constructing New BraidedT-Categories Over Regular Multiplier Hopf Algebras

DOI10.1080/00927872.2010.514876zbMath1237.16031OpenAlexW1977947206MaRDI QIDQ3103896

Tao Yang, Shuan-Hong Wang

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.514876

zbMATH Keywords

crossed productsYetter-Drinfeld modulesbraided categoriesregular multiplier Hopf algebras

Mathematics Subject Classification ID

Related Items (17)

The construction of braided \(T\)-categories via Yetter-Drinfeld-Long bimodules ⋮ Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras ⋮ New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras ⋮ Pivotal weak Turaev \(\pi \)-coalgebras ⋮ Another construction of the braided T-category ⋮ A lot of quasitriangular group-cograded multiplier Hopf algebras. ⋮ 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 ⋮ Heisenberg double as braided commutative Yetter-Drinfel'd module algebra over Drinfel'd double in multiplier Hopf algebra case ⋮ A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS ⋮ A Class of Coquasitriangular Hopf Group Algebras ⋮ New braided \(T\)-categories over weak crossed Hopf group coalgebras ⋮ On BraidedT-Categories over Multiplier Hopf Algebras ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras ⋮ A new approach to the constructions of braided T-categories ⋮ Yetter–Drinfel’d modules over weak Hopf quasigroups

Cites Work

• Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category.
• An algebraic framework for group duality
• Braided compact closed categories with applications to low dimensional topology
• Yetter-Drinfeld modules for crossed structures.
• Quasitriangular (\(G\)-cograded) multiplier Hopf algebras.
• Multiplier Hopf algebras in categories and the biproduct construction.
• The Drinfel'd double for group-cograded multiplier Hopf algebras.
• Relations between homology and homotopy groups of spaces
• Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts
• Multiplier Hopf Algebras
• Turaev group coalgebras and twisted Drinfeld double

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