Cibils–Rosso's Theorem for Quantum Groupoids

DOI10.1081/AGB-120037154zbMath1071.16040MaRDI QIDQ3158309

Shuan-Hong Wang

Publication date: 24 January 2005

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

zbMATH Keywords

Hopf algebrascategories of comodulesquantum groupoidsentwining structurescoringsCibils-Rosso theoremweak Doi-Hopf bimodules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Graded rings and modules (associative rings and algebras) (16W50) Bimodules in associative algebras (16D20)

Related Items (5)

On Braided Lie Structures of Algebras in the Categories of Weak Hopf Bimodules ⋮ Differential Calculi on Quantum Groupoids ⋮ Twisting theory for weak Hopf algebras. ⋮ The Duality Theorem for Weak Hopf Algebra (Co) Actions ⋮ Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras

Cites Work

• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
• Unifying Hopf modules
• On modules associated to coalgebra Galois extensions
• Hopf bimodules are modules
• Coalgebra bundles
• Doi-Koppinen modules for quantum groupoids.
• Variations on the smash product with applications to group-graded rings
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• A correspondence between Hopf ideals and sub-Hopf algebras
• Modules graded by G-sets
• DOI-KOPPINEN HOPF BIMODULES ARE MODULES
• Doi-hopf modules over weak hopf algebras
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• HOPF BIMODULES ARE MODULES OVER A DIAGONAL CROSSED PRODUCT ALGEBRA
• Weak corings

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