English

On the integration of Poisson homogeneous spaces

Symplectic Geometry 2010-04-23 v2

Abstract

We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating Poisson Lie groups, that is suitable even for the non complete case.

Keywords

Cite

@article{arxiv.0711.0361,
  title  = {On the integration of Poisson homogeneous spaces},
  author = {F. Bonechi and N. Ciccoli and N. Staffolani and M. Tarlini},
  journal= {arXiv preprint arXiv:0711.0361},
  year   = {2010}
}

Comments

22 pages, minor changes