Dirac Lie Groups, Dirac Homogeneous Spaces and the Theorem of Drinfeld

Jotz, Madeleine2012-06-252012-06-252012-06-252011https://infoscience.epfl.ch/handle/20.500.14299/82349WOS:000303134000015The 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.Poisson Lie groupsDirac manifoldsLie algebrasDressing TransformationsPoisson GroupoidsReductionSystemsDirac Lie Groups, Dirac Homogeneous Spaces and the Theorem of Drinfeldtext::journal::journal article::research article