Constructing New BraidedT-Categories Over Regular Multiplier Hopf Algebras
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Publication:3103896
DOI10.1080/00927872.2010.514876zbMath1237.16031OpenAlexW1977947206MaRDI QIDQ3103896
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
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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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