Poisson structures on double Lie groups
D. Alekseevsky, J. Grabowski, G. Marmo, P. W. Michor
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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