On the Hochschild (Co)Homology of Quantum Exterior Algebras

DOI10.1080/00927870701509271zbMath1141.16011arXiv0708.3912OpenAlexW2594341160MaRDI QIDQ5432596

Petter Andreas Bergh

Publication date: 17 December 2007

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

Full work available at URL: https://arxiv.org/abs/0708.3912

zbMATH Keywords

Hochschild cohomologyHochschild homologyArtin algebrastwisted bimodulesdeformations of exterior algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (8)

On the Hochschild homology of smash biproducts ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ Quantum complex projective spaces from Toeplitz cubes ⋮ Twisted support varieties. ⋮ Hochschild cohomology of some quantum complete intersections ⋮ Cohomology of twisted tensor products. ⋮ Asymmetry of Ext-groups ⋮ Poisson (co)homology of truncated polynomial algebras in two variables

Cites Work

• Boundedness and periodicity of modules over QF rings
• Nonvanishing cohomology and classes of Gorenstein rings
• LOCAL LIMITATIONS OF THE Ext FUNCTOR DO NOT EXIST

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