## Quadratic Poisson brackets compatible with an algebra structure

*Balinsky, A. A.*;

*Burman, Yu.*;

Related identifiers: doi: 10.1088/0305-4470/27/18/008 - Subject: High Energy Physics - Theory | Mathematics - Quantum Algebraarxiv: Mathematics::Quantum Algebra | Mathematics::Symplectic Geometry | Nonlinear Sciences::Exactly Solvable and Integrable Systems

Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of c... View more

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