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.
On the integration of Poisson homogeneous spaces
CICCOLI, Nicola;
2008
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.File in questo prodotto:
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