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.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- July 1998
- DOI:
- 10.1016/S0393-0440(97)00063-6
- arXiv:
- arXiv:math/9801028
- Bibcode:
- 1998JGP....26..340A
- Keywords:
-
- Mathematics - Differential Geometry;
- 22E30;
- 58F05;
- 70H99
- E-Print:
- AmSTeX, 37 pages