Group Entwining Structures and Group Coalgebra Galois Extensions

DOI10.1081/AGB-120039403zbMath1071.16041MaRDI QIDQ3158320

Shuan-Hong Wang

Publication date: 24 January 2005

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

zbMATH Keywords

Doi-Hopf group modulesgroup coalgebra Galois extensionsgroup entwining structures

Mathematics Subject Classification ID

Related Items (23)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ On corepresentations of multiplier Hopf algebras. ⋮ Group-cograded multiplier Hopf (\(*\)-)algebras. ⋮ Group corings. ⋮ Blattner–Cohen–Montgomery's Duality Theorem for (Weak) Group Smash Products ⋮ Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra. ⋮ Radford's biproducts for Hopf group-coalgebras and its quasitriangular structures. ⋮ Group Corings and (Invertible) Weak Group Entwining Structures ⋮ A Maschke type theorem for weak group entwined modules and applications. ⋮ ON COREPRESENTATION OF HOPF π-COALGEBRAS ⋮ Two Results on Brzeziński π-crossed Product ⋮ Separable functors for the category of Doi-Hopf \(\pi\)-modules. ⋮ Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras ⋮ GroupC-Rings and Weak Group Algebra Galois Coextensions ⋮ The quasitriangular structures for a class of group twisted product Hopf group coalgebras ⋮ On the Twisting and Drinfel'd Double for Multiplier Hopf Algebras ⋮ A Categorical Approach to Turaev's Hopf Group-Coalgebras ⋮ A class of braided monoidal categories via quasitriangular Hopf π-crossed coproduct algebras ⋮ Smash Products and π-H-Comodules of Linear Maps for HOPF π-Comodules ⋮ Morita Contexts and Partial Group Galois Extensions for Hopf Group Coalgebras ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras ⋮ Separable functors in group coring. ⋮ TWISTED DRINFELD DOUBLES AND REPRESENTATIONS OF A HOPF ALGEBRA

Cites Work

• Unnamed Item
• Frobenius and separable functors for generalized module categories and nonlinear equations
• Unifying Hopf modules
• On modules associated to coalgebra Galois extensions
• Coalgebra bundles
• Hopf group-coalgebras
• On the structure of relative hopf modules
• Coalgebra extensions and algebra coextensions of galois type

This page was built for publication: Group Entwining Structures and Group Coalgebra Galois Extensions