Weak Hopf algebras with projection and weak smash bialgebra structures.

DOI10.1016/j.jalgebra.2003.05.003zbMath1042.16020OpenAlexW2076736564MaRDI QIDQ1414686

J. M. Fernández Vilaboa, J. N. Alonso Álvarez, Emilio Villanueva Nóvoa, Ramón González Rodríguez, M. Purificación López López

Publication date: 4 December 2003

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.05.003

zbMATH Keywords

weak Hopf algebrasweak smash bialgebra structuresweak Yetter-Drinfeld modules

Mathematics Subject Classification ID

Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (19)

Crossed products for weak Hopf algebras with coalgebra splitting. ⋮ Weak Galois and Weak Cocleft Coextensions ⋮ A characterization of weak Hopf (co) quasigroups ⋮ Algebraic structures in comodule categories over weak bialgebras ⋮ (Co)homology of crossed products by weak Hopf algebras ⋮ Radford (m, n)-biproduct and (m+n)-Yetter-Drinfeld category ⋮ Radford's biproducts for Hopf group-coalgebras and its quasitriangular structures. ⋮ Yetter-Drinfeld modules and projections of weak Hopf algebras. ⋮ Weak Hopf algebras and weak Yang-Baxter operators. ⋮ Radford's biproducts and Yetter-Drinfeld modules for monoidal Hom-Hopf algebras ⋮ A Maschke type theorem for weak Hopf algebras. ⋮ Projections of weak braided Hopf algebras. ⋮ Weak \(C\)-cleft extensions, weak entwining structures and weak Hopf algebras. ⋮ Weak \(C\)-cleft extensions and weak Galois extensions. ⋮ Crossed products in weak contexts. ⋮ Cleft extensions of weak Hopf algebras ⋮ Preunits and weak crossed products ⋮ The quantum double of a factorizable weak Hopf algebra ⋮ Comparison of two notions of weak crossed product

Cites Work

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• The structure of Hopf algebras with a projection
• Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
• Cross products by braided groups and bosonization
• Crossed modules and quantum groups in braided categories
• The factorization problem and the smash biproduct of algebras and coalgebras
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Cleft extensions in braided categories
• Doi-hopf modules over weak hopf algebras
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace

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