Multiplicative Dirac structures on Lie groups
Symplectic Geometry
2009-06-15 v1
Abstract
We study multiplicative Dirac structures on Lie groups. We show that the characteristic foliation of a multiplicative Dirac structure is given by the cosets of a normal Lie subgroup and, whenever this subgroup is closed, the leaf space inherits the structure of a Poisson-Lie group. We also describe multiplicative Dirac structures on Lie groups infinitesimally.
Cite
@article{arxiv.0906.2373,
title = {Multiplicative Dirac structures on Lie groups},
author = {Cristian Ortiz},
journal= {arXiv preprint arXiv:0906.2373},
year = {2009}
}
Comments
Published in Comptes Rendus Mathematique