Quadratic brackets from symplectic forms

Details Quadratic brackets from symplectic forms Quadratic brackets from symplectic forms

1993-07-05

arxiv.org/abs/hep-th/9307026v1

Nucl.Phys. B421 (1994) 413-428

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1016/0550-3213(94)90334-4

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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