On the Heisenberg invariance and the elliptic Poisson tensors

DOI10.1007/s11005-010-0433-1zbMath1276.17011arXiv1001.4422OpenAlexW1973921782MaRDI QIDQ539065

Vladimir Rubtsov, Serge Roméo Tagne Pelap, Giovanni Ortenzi

Publication date: 27 May 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4422

zbMATH Keywords

Heisenberg groupPoisson algebrasSklyanin elliptic algebrasunimodular class

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items

Homological properties of certain generalized Jacobian Poisson structures in dimension 3, Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras, Integer solutions of integral inequalities and \(H\)-invariant Jacobian Poisson structures, On the Heisenberg invariance and the elliptic Poisson tensors, Feigin and Odesskii's elliptic algebras

Cites Work

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• On the Hochschild homology of elliptic Sklyanin algebras.
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• The 4-dimensional Sklyanin algebra
• Noncommutative homology of some three-dimensional quantum spaces
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