Generalized (anti) Yetter-Drinfeld modules as components of a braided \(T\)-category.

DOI10.1007/s11856-007-0016-8zbMath1128.16026arXivmath/0503413OpenAlexW2002622336MaRDI QIDQ995370

Mihai D. Staic, Florin Panaite

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503413

zbMATH Keywords

Yetter-Drinfeld modulesbraided categoriesHopf algebra automorphismsanti-Yetter-Drinfeld modules

Mathematics Subject Classification ID

Related Items (28)

The construction of braided \(T\)-categories via Yetter-Drinfeld-Long bimodules ⋮ Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras ⋮ Cyclic cohomology and Baaj-Skandalis duality ⋮ Constructing new braided T-categories over monoidal Hom-Hopf algebras ⋮ New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras ⋮ Weak T-coalgebra \(DT (H)\) and its representation category ⋮ The crossed structure of Hopf bimodules ⋮ Centres, trace functors, and cyclic cohomology ⋮ New Turaev braided group categories and group Schur-Weyl duality. ⋮ Another construction of the braided T-category ⋮ Drinfel’d construction for Hom–Hopf T-coalgebras ⋮ A braided T-category over weak monoidal Hom-Hopf algebras ⋮ The antipode of a quasitriangular quasi-Turaev group coalgebra is bijective ⋮ Quasi-elementary \(H\)-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules. ⋮ Gauge transformations for quasitriangular quasi-Turaev group coalgebras ⋮ New Turaev Braided Group Categories Over Entwining Structures ⋮ Hopf modules and noncommutative differential geometry ⋮ Turaev bicategories and generalized Yetter-Drinfel'd modules in 2-categories ⋮ Comodules and Corings ⋮ Constructing new braided \(T\)-categories over weak Hopf algebras. ⋮ A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS ⋮ A Class of Coquasitriangular Hopf Group Algebras ⋮ Constructing New BraidedT-Categories Over Regular Multiplier Hopf Algebras ⋮ On BraidedT-Categories over Multiplier Hopf Algebras ⋮ 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 ⋮ TWISTED DRINFELD DOUBLES AND REPRESENTATIONS OF A HOPF ALGEBRA

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