On the integration of Poisson homogeneous spaces

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.

22 pages, minor changes

References in corpus (2)

• Integrability and reduction of Poisson group actions
• The momentum map in Poisson geometry

Cited by in corpus (7)

• The quantization of the symplectic groupoid of the standard Podles sphere
• Quantization of Poisson manifolds from the integrability of the modular function
• Dirac geometry and integration of Poisson homogeneous spaces
• On a Poisson-Lie deformation of the BC(n) Sutherland system
• Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups
• Integrable many-body systems of Calogero-Ruijsenaars type
• Nonstandard Quantum Complex Projective Line