Poisson structures on double Lie groups

JOURNAL OF GEOMETRY AND PHYSICS

卷:26

Article

Alekseevsky, D ; Grabowski, J ; Marmo, G ; Michor, PW

关键词: Poisson structures;    double Lie groups;    Lie bialgebras;    Manin decomposition;    Gauss decomposition;    R-matrices;   

DOI  :  10.1016/S0393-0440(97)00063-6

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free