Note on the Hochschild cohomology of Hopf-Galois extension

DOI10.1007/s10474-017-0765-8zbMath1399.16086OpenAlexW2763990339MaRDI QIDQ1705207

Zhong-wei Wang

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0765-8

zbMATH Keywords

Hochschild cohomologyHopf-Galois extensionsmash productCalabi-Yau algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Hopf algebras and their applications (16T05)

Cites Work

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• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• Cohomology of quantum groups at roots of unity
• Hopf-Galois extensions and an exact sequence for \(H\)-Picard groups.
• Morita equivalences induced by bimodules over Hopf-Galois extensions.
• The quantum group of a nondegenerate bilinear form.
• On the cohomology groups of an associative algebra
• On the differentials in the Lyndon-Hochschild-Serre spectral sequence
• Auslander-gorenstein rings
• Hochschild homology of Hopf algebras and free Yetter–Drinfeld resolutions of the counit

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