Skew group algebras of Calabi-Yau algebras.

DOI10.1016/j.jalgebra.2011.05.027zbMath1248.16010OpenAlexW1970085832MaRDI QIDQ661880

Quan Shui Wu, Can Zhu

Publication date: 11 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.027

zbMATH Keywords

Hochschild cohomologyHochschild homologyKoszul algebrasskew group algebrasCalabi-Yau algebrasA-infinity algebrashomological determinants

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Twisted and skew group rings, crossed products (16S35) Quadratic and Koszul algebras (16S37)

Related Items

A note on the discriminant of reflection Hopf algebras ⋮ Cleft extensions of Koszul twisted Calabi-Yau algebras ⋮ Crossed products of Calabi-Yau algebras by finite groups ⋮ Corrigendum to: ``\(m\)-Koszul Artin-Schelter regular algebras ⋮ Skew Calabi-Yau algebras and homological identities. ⋮ \(m\)-Koszul Artin-Schelter regular algebras ⋮ On the representation dimension of smash products ⋮ Superpotentials and quiver algebras for semisimple Hopf actions ⋮ Nakayama automorphisms of double Ore extensions of Koszul regular algebras ⋮ Simplicity of Skew Group Rings of Abelian Groups ⋮ THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS ⋮ The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras ⋮ The Calabi-Yau property of smash products. ⋮ Smash products of Calabi-Yau algebras by Hopf algebras ⋮ Batalin-Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi-Yau algebras ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas ⋮ New Artin-Schelter regular and Calabi-Yau algebras via normal extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
• The \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-Yaus
• Superpotentials and higher order derivations.
• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• \(A\)-infinity structure on Ext-algebras.
• Graded algebras of global dimension 3
• Noncommutative homology of some three-dimensional quantum spaces
• Noncommutative projective schemes
• On the trace of graded automorphisms
• Gourmet's guide to Gorensteinness
• Hochschild duality, localization, and smash products.
• Certain invariant subrings are Gorenstein. I
• Hochschild cohomology on Hopf Galois extensions
• Calabi-Yau algebras and superpotentials
• Graded Calabi Yau algebras of dimension 3.
• Koszul and Gorenstein properties for homogeneous algebras.
• Higher Koszul algebras and \(A\)-infinity algebras.
• Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
• Observations on group rings
• Koszul Duality Patterns in Representation Theory
• Introduction to \(A\)-infinity algebras and modules
• On the structure of open-closed topological field theory in two dimensions