A Poisson structure on compact symmetric spaces
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Representation Theory
Abstract
We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold.
Cite
@article{arxiv.math/0208051,
title = {A Poisson structure on compact symmetric spaces},
author = {Philip Foth and Jiang-Hua Lu},
journal= {arXiv preprint arXiv:math/0208051},
year = {2007}
}
Comments
11 pages, exposition streamlined