Mathematics – Symplectic Geometry
Scientific paper
2009-06-12
Comptes Rendus Academie des Sciences Paris, Ser. I 346 (2008)
Mathematics
Symplectic Geometry
Published in Comptes Rendus Mathematique
Scientific paper
10.1016/j.crma.2008.10.003
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.
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