Quantization of quadratic Poisson brackets on a polynomial algebra of three variables

DOI10.1016/S0022-4049(97)00079-0zbMath0934.16025arXivq-alg/9504002MaRDI QIDQ1295556

Leonid G. Makar-Limanov, Joseph Donin

Publication date: 6 February 2000

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

Full work available at URL: https://arxiv.org/abs/q-alg/9504002

zbMATH Keywords

graded algebrasPoisson algebrasSklyanin algebras

Mathematics Subject Classification ID

Related Items (6)

Quadratic deformations of Lie-Poisson structures ⋮ The classification of 3-dimensional Noetherian cubic Calabi-Yau algebras ⋮ The Zariski cancellation problem for Poisson algebras ⋮ Plane polynomial automorphisms of fixed multidegree ⋮ REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS ⋮ Centralizers in free Poisson algebras

Cites Work

• Graded algebras of global dimension 3
• On quadratic Poisson structures
• The diamond lemma for ring theory
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