Poisson structures on double Lie groups
微分几何
2009-10-31 v1
摘要
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gau{\ss}-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.
引用
@article{arxiv.math/9801028,
title = {Poisson structures on double Lie groups},
author = {D. Alekseevsky and J. Grabowski and G. Marmo and P. W. Michor},
journal= {arXiv preprint arXiv:math/9801028},
year = {2009}
}
备注
AmSTeX, 37 pages