Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld
Differential Geometry
2011-05-10 v3
Abstract
The notions of \emph{Poisson Lie group} and \emph{Poisson homogeneous space} are extended to the Dirac category. The theorem of Drinfeld (\cite{Drinfeld93}) 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.
Keywords
Cite
@article{arxiv.0910.1538,
title = {Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld},
author = {Madeleine Jotz},
journal= {arXiv preprint arXiv:0910.1538},
year = {2011}
}