Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra

DOI10.4171/JNCG/439zbMath1494.16008arXiv1903.01226OpenAlexW2919990101WikidataQ115212120 ScholiaQ115212120MaRDI QIDQ2073918

Samuel A. Lopes, Andrea L. Solotar

Publication date: 8 February 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01226

zbMATH Keywords

Hochschild cohomologyWeyl algebraWitt algebraGerstenhaber bracketOre extension

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ordinary and skew polynomial rings and semigroup rings (16S36) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (3)

Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products ⋮ Identities for a parametric Weyl algebra over a ring ⋮ Identities for subspaces of a parametric Weyl algebra

Cites Work

• The Lie structure on the Hochschild cohomology of a modular group algebra.
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• On the deformation of rings and algebras
• Filtered Algebras and Representations of Lie Algebras
• Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology
• A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms

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