Poisson and Hochschild cohomology and the semiclassical limit

DOI10.4171/JNCG/204zbMath1353.16009arXiv1304.6003OpenAlexW2963109938MaRDI QIDQ893791

Matthew Towers

Publication date: 20 November 2015

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

Full work available at URL: https://arxiv.org/abs/1304.6003

zbMATH Keywords

Hochschild cohomologydeformationKoszul algebrasemiclassical limitPoisson cohomologyPoisson algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Poisson algebras (17B63) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quadratic and Koszul algebras (16S37)

Related Items (5)

Homological unimodularity and Calabi-Yau condition for Poisson algebras ⋮ A note on the duality between Poisson homology and cohomology ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Realization of Poisson enveloping algebra ⋮ Structure and isomorphisms of quantum generalized Heisenberg algebras

Cites Work

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• Finite Hochschild cohomology without finite global dimension.
• Cyclic homology of enveloping algebras
• Hochschild and cyclic homology of quantum groups
• Noncommutative homology of some three-dimensional quantum spaces
• Formal Poisson cohomology of quadratic Poisson structures
• Twisted Poincaré duality for some quadratic Poisson algebras
• The first Hochschild cohomology group of quantum matrices and the quantum special linear group.
• Twisted Hochschild homology of quantum hyperplanes
• Resolutions over Koszul algebras.
• Poisson cohomology and quantization.
• MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS
• Semiclassical limits of quantized coordinate rings
• Koszul Resolutions

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