Hopf-Galois extensions and twisted Hopf algebroids

DOI10.1016/j.jalgebra.2023.11.025arXiv2205.11494OpenAlexW4389070971MaRDI QIDQ6187327

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Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2205.11494

zbMATH Keywords

quantum groupHopf algebroidquantum principal bundleHopf-Galois extensionbicrossproductsmash productbialgebroidcocycle cross product

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Cites Work

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• Noncommutative principal bundles through twist deformation
• Biinvertible actions of Hopf algebras
• Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
• Quantum group gauge theory on quantum spaces
• Bicrossproduct structure of the quantum Weyl group
• Braided groups and quantum Fourier transform
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
• Gauge groups and bialgebroids
• More examples of bicrossproduct and double cross product Hopf algebras
• Translation map in quantum principal bundles
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras.
• Hopf Algebroids
• Equivalent crossed products for a hopf algebra
• Hopf bigalois extensions
• Quantum Riemannian Geometry

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