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paper

Poisson structures on double Lie groups

arXiv:math/9801028 · doi:10.1016/S0393-0440(97)00063-6

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.

AmSTeX, 37 pages