Hopf algebra actions on differential graded algebras and applications.

zbMath1228.16011arXiv1007.4983MaRDI QIDQ2430156

Yinhuo Zhang, Ji-Wei He, Freddy M. J. van Oystaeyen

Publication date: 6 April 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4983

zbMATH Keywords

semisimple Hopf algebrasdifferential graded algebrasquasi-isomorphismssmash productsKoszul algebrasYoneda algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Differential graded algebras and applications (associative algebraic aspects) (16E45) Graded rings and modules (associative rings and algebras) (16W50) Smash products of general Hopf actions (16S40) Quadratic and Koszul algebras (16S37) Hopf algebras and their applications (16T05)

Related Items (11)

Connected cochain DG algebras of Calabi-Yau dimension 0 ⋮ Crossed products of Calabi-Yau algebras by finite groups ⋮ Local cohomology associated to the radical of a group action on a Noetherian algebra ⋮ Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras. ⋮ Hopf dense Galois extensions with applications ⋮ The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras ⋮ Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras ⋮ Smash products of Calabi-Yau algebras by Hopf algebras ⋮ Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras ⋮ Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions ⋮ Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

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