%0 Journal Article
%T Multiplicative Dirac structures on Lie groups
%A Cristian Ortiz
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.crma.2008.10.003
%X 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.
%U http://arxiv.org/abs/0906.2373v1