On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra.

DOI10.1016/J.JPAA.2013.10.006zbMath1290.16010arXiv1208.0346OpenAlexW2963434700MaRDI QIDQ392511

Murray Gerstenhaber, Anthony Giaquinto

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0346

zbMATH Keywords

Weyl algebrasdeformationscohomologies

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (3)

On the Hom-associative Weyl algebras ⋮ Deformations associated with rigid algebras. ⋮ Derivations of a parametric family of subalgebras of the Weyl algebra.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deformations associated with rigid algebras.
• Hochschild and cyclic homology of the quantum multiparametric torus
• A Hodge-type decomposition for commutative algebra cohomology
• Bialgebra actions, twists, and universal deformation formulas
• On the deformation of rings and algebras. IV
• On the deformation of rings and algebras
• Obstructions to deformations of d.g. modules
• Hochschild cohomology of group extensions of quantum symmetric algebras
• Filtered Algebras and Representations of Lie Algebras
• Differential Forms On Regular Affine Algebras
• Sur les algèbres de Weyl
• On the principles of elementary quantum mechanics
• On the Euler Characteristic of a Lie Algebra

This page was built for publication: On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra.