Doi–Hopf Modules and Yetter–Drinfeld Modules for Quasi-Hopf Algebras

DOI10.1080/00927870600794123zbMath1104.16028arXivmath/0407510OpenAlexW2017050199MaRDI QIDQ5491375

Stefaan Caenepeel, Blass Torrecillas Jover, Daniel Bulacu

Publication date: 11 October 2006

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

Full work available at URL: https://arxiv.org/abs/math/0407510

zbMATH Keywords

categories of modulesYetter-Drinfeld modulesquasi-Hopf algebrasDoi-Hopf modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90)

Related Items (7)

Two-sided two-cosided Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras. ⋮ Frobenius Monoidal Algebras and Related Topics ⋮ Quasi-quantum groups obtained from the Tannaka-Krein reconstruction theorem ⋮ The Antipode of a Braided Dual Quasi-Hopf Algebra is Bijective ⋮ Quantum Cocommutative Coalgebras in $^{H}_{H}\mathcal{YD}$ and the Solutions of the Quasi-Yang-Baxter Equation ⋮ Frobenius and separable functors for the category of entwined modules over cowreaths. II: applications ⋮ Galois and cleft monoidal cowreaths. Applications

Cites Work

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• Quantum double for quasi-Hopf algebras
• Equivalence theorems and Hopf-Galois extensions
• Crossed modules and Doi-Hopf modules
• Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras.
• Relative Hopf modules for (dual) quasi-Hopf algebras
• Co-Frobenius Hopf algebras: Integrals, Doi-Koppinen modules and injective objects
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Variations on the smash product with applications to group-graded rings
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Hopf modules and the double of a quasi-Hopf algebra
• Yetter-Drinfeld Categories for Quasi-Hopf Algebras

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