Dirac structures and Poisson homogeneous spaces
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Poisson homogeneous spaces for Poisson groupoids are classfied in terms of Dirac structures for the corresponding Lie bialgebroids. Applications include Drinfel'd's classification in the case of Poisson groups and a description of leaf spaces of foliations as homogeneous spaces of pair groupoids.
Cite
@article{arxiv.dg-ga/9611001,
title = {Dirac structures and Poisson homogeneous spaces},
author = {Z. J. Liu and A. Weinstein and P. Xu},
journal= {arXiv preprint arXiv:dg-ga/9611001},
year = {2008}
}
Comments
LaTex, 28 pages