2007/11/30 by Francesco Bonechi, F. Bonechi, N. Ciccoli +4 · 13 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Combinatorics #Computer science #Double groupoid #Geometry #Homogeneous #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Mathematical analysis #Mathematics #Poisson algebra #Poisson bracket #Poisson distribution #Poisson manifold #Pure mathematics #Quotient #Reduction (mathematics) #Space (punctuation) #Symplectic geometry #math.SG
paper · pdf · doi:10.1016/j.geomphys.2008.07.001
published in Journal of Geometry and Physics 58(11), 1519-1529 (Elsevier BV) · 22 pages, minor changes
openalex publication_date 2008/07/13 · arxiv created 2008/09/09 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.