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Poisson structures on double Lie groups

D. Alekseevsky·J. Grabowski·G. Marmo·P. W. Michor
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Abstract

Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gives rise to several Poisson structures on the correponding double group, which is investigated in great detail.

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D. Alekseevsky, J. Grabowski, G. Marmo, P. W. Michor. 1998-01-07. Poisson structures on double Lie groups. https://doi.org/10.1016/s0393-0440(97)00063-6

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