Quadratic Poisson brackets and the Drinfeld theory for associative algebras

DOI10.1007/BF00398299zbMath0857.16034arXivq-alg/9503019OpenAlexW3103946220MaRDI QIDQ1922526

Alexander A. Balinsky, Yu. M. Burman

Publication date: 31 October 1996

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

Full work available at URL: https://arxiv.org/abs/q-alg/9503019

zbMATH Keywords

Jacobi identityYang-Baxter equationPoisson bracketsLie algebrassimple Lie groupsalgebras of symmetric elementsPoisson Lie structures

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometric quantization (53D50)

Related Items

Poisson geometry, Non-associative structures of commutative algebras related with quadratic Poisson brackets, Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators, Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems, Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves, Normal forms of Poisson structures with zero 1-jet at a point

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