Geodesic
On Quasi-Poisson Homogeneous Spaces of Quasi-Poisson Lie Groups<!-- Anfang Autor -->
Journal of Lie Theory, Tome 14 (2004) no. 2, pp. 543-554

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Drinfeld showed that if G is a Poisson Lie group with corresponding Lie bialgebra g, then the isomorphism classes of Poisson homogeneous G-spaces are essentially in a 1-1 correspondence with the G-orbits of Lagrangian subalgebras in g Å g*. The main goal of this paper is to generalize this result to the quasi-Poisson case. We also study the behavior of quasi-Poisson homogeneous spaces under twisting. Some examples of quasi-Poisson homogeneous spaces and corresponding Lagrangian subalgebras are also provided.
Classification : 22E30, 53D17, 17B37
Mots-clés : Lie bialgebra, (quasi-)Poisson Lie group, (quasi-)Poisson homogeneous space 
E. Karolinsky; K. Muzykin. On Quasi-Poisson Homogeneous Spaces of Quasi-Poisson Lie Groups

<!-- Anfang Autor -->. Journal of Lie Theory, Tome 14 (2004) no. 2, pp. 543-554. http://geodesic.mathdoc.fr/item/JOLT_2004_14_2_a11/
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     author = {E. Karolinsky and K. Muzykin},
     title = {On {Quasi-Poisson} {Homogeneous} {Spaces} of {Quasi-Poisson} {Lie} {Groups

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     journal = {Journal of Lie Theory},
     pages = {543--554},
     year = {2004},
     volume = {14},
     number = {2},
     zbl = {1057.22010},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2004_14_2_a11/}
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