Hopf-Galois structures on ambiskew polynomial rings

DOI10.4171/JNCG/441zbMath1495.16026arXiv1910.14363MaRDI QIDQ2073919

Agustín García Iglesias, Julien Bichon

Publication date: 8 February 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14363

zbMATH Keywords

Hopf algebrasambiskew ringsHopf-Galois algebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

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• Lifting via cocycle deformation.
• Biinvertible actions of Hopf algebras
• Fibre functors of finite dimensional comodules
• Quantum torsors
• Down-up algebras and ambiskew polynomial rings
• Liftings of Nichols algebras of diagonal type II: All liftings are cocycle deformations
• A simple localization of the quantized Weyl algebra
• Ambiskew Hopf algebras.
• Simple ambiskew polynomial rings.
• Hopf structures on ambiskew polynomial rings.
• Crossed products for pointed hopf algebras
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• Braided bialgebras and quadratic blalgebras
• Hopf bigalois extensions

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