Weak Galois and Weak Cocleft Coextensions

DOI10.1142/S1005386707000235zbMath1132.18003OpenAlexW2014569935MaRDI QIDQ5297771

J. N. Alonso Álvarez, J. M. Fernández Vilaboa, Ana Belen Rodríguez Raposo, Ramón González Rodríguez

Publication date: 13 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1402/S1005386707000235.html

zbMATH Keywords

weak Hopf algebraweak entwining structureweak coclef coextensionweak Galois coextension

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

• On modules associated to coalgebra Galois extensions
• Weak Hopf algebras with projection and weak smash bialgebra structures.
• Weak \(C\)-cleft extensions, weak entwining structures and weak Hopf algebras.
• Invariants of knots and 3-manifolds from quantum groupoids
• Crossed products for weak Hopf algebras with coalgebra splitting.
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Weak \(C\)-cleft extensions and weak Galois extensions.
• Coalgebra extensions and algebra coextensions of galois type
• Crossed coproducts and cleft coextensions
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace

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