article

Title: Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld

Authors: Madeleine Jotz

Issue: Volume 60 (2011), Issue 1, 319-366

Abstract:

$The notions of \emph{Poisson Lie group} and \emph{Poisson homogeneous space} are extended to the Dirac category. The theorem of Drinfeld on the one-to-one correspondence between Poisson homogeneous spaces of a Poisson Lie group and a special class of Lagrangian subalgebras of the Lie bialgebra associated to the Poisson Lie group is proved to hold in this more general setting.$