Cleft extensions in braided categories

DOI10.1080/00927870008827018zbMath0959.18005OpenAlexW1999303010MaRDI QIDQ4489711

J. N. Alonso Álvarez, J. M. Fernández Vilaboa

Publication date: 20 September 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827018

zbMATH Keywords

crossed productsbraided monoidal categorycleft extensions

Mathematics Subject Classification ID

Related Items (12)

Cohomological obstructions and weak crossed products over weak Hopf algebras ⋮ Twisting Hopf algebras from cocycle deformations ⋮ Weak Hopf algebras with projection and weak smash bialgebra structures. ⋮ Weak Hopf algebras and weak Yang-Baxter operators. ⋮ Weak \(C\)-cleft extensions, weak entwining structures and weak Hopf algebras. ⋮ Crossed products in weak contexts. ⋮ Unnamed Item ⋮ Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras ⋮ Two-cocycles and cleft extensions in left braided categories ⋮ Partially dualized Hopf algebras have equivalent Yetter-Drinfel'd modules. ⋮ Cat¹-Hopf Algebras and Crossed Modules ⋮ Theory of braided Hopf crossed products

Cites Work

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• The structure of Hopf algebras with a projection
• Cross product bialgebras. I
• Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
• Coideal subalgebras in finite Hopf algebras
• Braided tensor categories
• Extensions of Hopf algebras and their cohomological description
• Crossed modules and quantum groups in braided categories
• Hopf (bi-)modules and crossed modules in braided monoidal categories
• Braided groups
• Genaralization fo cleft comodule algabras
• Crossed coproducts and cleft coextensions

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