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Quadratic brackets from symplectic forms

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arxiv hep-th/9307026 v1 pith:M5KLHRYJ submitted 1993-07-05 hep-th

classification hep-th
keywords quadraticactionsalgebrasappearbelievedbracetsbracketschiral
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We give a physicist oriented survey of Poisson-Lie symmetries of classical systems. We consider finite dimensional geometric actions and the chiral WZNW model as examples for the general construction. An essential point is that quadratic Poisson bracets appear for group--like variables. It is believed that after quantization they lead to quadratic exchange algebras.

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