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arXiv · 0711.0361

On the integration of Poisson homogeneous spaces

F. Bonechi·N. Ciccoli·N. Staffolani·M. Tarlini
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Abstract

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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F. Bonechi, N. Ciccoli, N. Staffolani, M. Tarlini. 2008-09-09. On the integration of Poisson homogeneous spaces. https://doi.org/10.1016/j.geomphys.2008.07.001

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