Jotz, Madeleine
Dirac Lie Groups, Dirac Homogeneous Spaces and the Theorem of Drinfeld
Indiana University Mathematics Journal
Indiana University Mathematics Journal
Indiana University Mathematics Journal
Indiana University Mathematics Journal
60
Poisson Lie groups
Dirac manifolds
Lie algebras
Dressing Transformations
Poisson Groupoids
Reduction
Systems
2011
2011
The notions of Poisson Lie group and Poisson homogeneous space are extended to the Dirac category. The theorem of Drinfeld on the one-to-one correspondence between Poisson homogeneous spaces of a Poisson Lie group and a special class of Lagrangian subalgebras of the Lie bialgebra associated to the Poisson Lie group is proved to hold in this more general setting.
0022-2518
Indiana University Mathematics Journal
Journal Articles
000303134000015