On the integration of Poisson homogeneous spaces

Mathematics – Symplectic Geometry

Scientific paper

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22 pages, minor changes

Scientific paper

10.1016/j.geomphys.2008.07.001

We study a reduction procedure for describing the symplectic groupoid of a
Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We
perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating
Poisson Lie groups, that is suitable even for the non complete case.

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