Poisson structures on double Lie groups

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

References in corpus (1)

• Completely integrable systems: a generalization

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