|
|||||
|
|
Poisson structures on double Lie groups |
|
| Authors: | 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. |
| Keywords: | Poisson structures Double Lie groups Lie bialgebras Manin decomposition Gauss decomposition R-matrices |
| 本文献已被 ScienceDirect 等数据库收录！ | |