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Quadratic Poisson brackets compatible with an algebra structure

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Publication:4869909
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DOI10.1088/0305-4470/27/18/008zbMath0844.58024arXivhep-th/9407041OpenAlexW2092720122MaRDI QIDQ4869909

Yu. M. Burman, Alexander A. Balinsky

Publication date: 8 May 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9407041


zbMATH Keywords

vector spacequadratic Poisson bracketsbilinear multiplication


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items

Quadratic Poisson structures and Nambu mechanics ⋮ Hamilton Operators and Related Integrable Differential Algebraic Novikov–Leibniz Type Structures ⋮ Quadratic Poisson brackets and the Drinfeld theory for associative algebras ⋮ Non-associative structures of commutative algebras related with quadratic Poisson brackets ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems



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