Crossed products for weak Hopf algebras with coalgebra splitting.

DOI10.1016/j.jalgebra.2004.08.001zbMath1073.16027OpenAlexW1966563346MaRDI QIDQ1887484

J. N. Alonso Álvarez, Ramón González Rodríguez

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.001

zbMATH Keywords

weak Hopf algebrascrossed products

Mathematics Subject Classification ID

Related Items (14)

Maschke-Type Theorem, Duality Theorem, and the Global Dimension for Weak Crossed Products ⋮ Weak Galois and Weak Cocleft Coextensions ⋮ (Co)homology of crossed products by weak Hopf algebras ⋮ On weak crossed products of weak Hopf algebras. ⋮ Yetter-Drinfeld modules and projections of weak Hopf algebras. ⋮ Weak Hopf algebras and weak Yang-Baxter operators. ⋮ 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. ⋮ Preunits and weak crossed products ⋮ Crossed Products for Weak Hopf Algebras ⋮ 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 with projection and weak smash bialgebra structures.
• Invariants of knots and 3-manifolds from quantum groupoids
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Crossed Products and Inner Actions of Hopf Algebras
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace

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