On the integration of Poisson homogeneous spaces
classification
🧮 math.SG
keywords
poissongroupoidhomogeneousreductionsymplecticcasecoisotropiccomplete
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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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