Hochschild homology and cohomology of generalized Weyl algebras: the quantum case.

DOI10.5802/aif.2780zbMath1294.16007arXiv1106.5289OpenAlexW3125756770MaRDI QIDQ381144

Quimey Vivas, Mariano Suárez-Alvarez, Andrea L. Solotar

Publication date: 15 November 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5289

zbMATH Keywords

Hochschild cohomologyHochschild homologyglobal dimensiongeneralized Weyl algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Homological dimension in associative algebras (16E10) Ring-theoretic aspects of quantum groups (16T20)

Related Items

Circle and line bundles over generalized Weyl algebras ⋮ Han's conjecture for bounded extensions ⋮ Homological smoothness and deformations of generalized Weyl algebras ⋮ On derivations of differential Ore extensions ⋮ On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables ⋮ Strongly stratifying ideals, Morita contexts and Hochschild homology ⋮ Batalin-Vilkovisky algebra structures on Hochschild cohomology of generalized Weyl algebras ⋮ Han's conjecture and Hochschild homology for null-square projective algebras ⋮ Split bounded extension algebras and Han's conjecture

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