Hochschild cohomology and homology of quantum complete intersections.

DOI10.2140/ant.2010.4.821zbMath1247.16005OpenAlexW2039811918MaRDI QIDQ625345

Steffen Oppermann

Publication date: 16 February 2011

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2010.4.821

zbMATH Keywords

growth ratesHochschild cohomologypolynomial algebrasHochschild homologyquantum complete intersections

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Quadratic and Koszul algebras (16S37)

Related Items (13)

The first Hochschild cohomology as a Lie algebra ⋮ Singular equivalences and Auslander-Reiten conjecture ⋮ Modules of constant Jordan type over quantum complete intersections ⋮ Hochschild cohomology of some quantum complete intersections ⋮ On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\) ⋮ Hochschild homology and split pairs. ⋮ On support varieties and tensor products for finite dimensional algebras ⋮ The Avrunin-Scott theorem for quantum complete intersections. ⋮ Cohomology of some local selfinjective algebras ⋮ Low dimensional modules over quantum complete intersections in two variables ⋮ Small modules over quantum complete intersections in two variables ⋮ Support varieties over skew complete intersections via derived braided Hochschild cohomology ⋮ Noncommutative complete intersections

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