# Dual Lie bialgebra structures of Poisson types

@article{Song2015DualLB, title={Dual Lie bialgebra structures of Poisson types}, author={Guang'ai Song and Yucai Su}, journal={Science China Mathematics}, year={2015}, volume={58}, pages={1151-1162} }

Let $\mathcal{A} = \mathbb{F}[x,y]$ be the polynomial algebra on two variables x, y over an algebraically closed field $\mathbb{F}$ of characteristic zero. Under the Poisson bracket, $\mathcal{A}$ is equipped with a natural Lie algebra structure. It is proven that the maximal good subspace of $\mathcal{A}*$ induced from the multiplication of the associative commutative algebra $\mathcal{A}$ coincides with the maximal good subspace of $\mathcal{A}*$ induced from the Poisson bracket of the… CONTINUE READING

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