Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld
Madeleine Jotz
53D1722E1570H45Poisson Lie groupsDirac manifoldsLie algebras
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.
Indiana University Mathematics Journal
2011
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10.1512/iumj.2011.60.4421
10.1512/iumj.2011.60.4421
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Indiana Univ. Math. J. 60 (2011) 319 - 366
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