Two-sided two-cosided Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras.

DOI10.1007/S10485-006-9045-4zbMath1160.16019OpenAlexW2085729529MaRDI QIDQ863171

Blass Torrecillas Jover, Daniel Bulacu

Publication date: 25 January 2007

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

Full work available at URL: https://doi.org/10.1007/s10485-006-9045-4

zbMATH Keywords

quasi-Hopf algebrascategories of Yetter-Drinfeld modulesbicomodule algebrasbimodule coalgebrascategories of Hopf modulescategory isomorphisms

Mathematics Subject Classification ID

Module categories in associative algebras (16D90)

Related Items (4)

Quasi-quantum groups obtained from tensor braided Hopf algebras ⋮ Galois and cleft monoidal cowreaths. Applications ⋮ Unnamed Item ⋮ Hom-Tensor Relations for Two-Sided Hopf Modules Over Quasi-Hopf Algebras

Cites Work

• Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications.
• Quantum double for quasi-Hopf algebras
• The categories of Yetter-Drinfel'd modules, Doi-Hopf modules and two-sided two-cosided Hopf modules
• Doubles of quasi-quantum groups
• Hopf modules and Yetter-Drinfel'd modules
• Integrals for (dual) quasi-Hopf algebras. Applications
• Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras.
• Relative Hopf modules for (dual) quasi-Hopf algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Hopf modules and the double of a quasi-Hopf algebra
• Quasi-hopf algebra actions and smash products
• Yetter-Drinfeld Categories for Quasi-Hopf Algebras
• Doi–Hopf Modules and Yetter–Drinfeld Modules for Quasi-Hopf Algebras
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