On quasi-Poisson homogeneous spaces of quasi-Poisson Lie groups

2003/03/24 by Eugene Karolinsky, Karolinsky, Eugene, Kolya Muzykin +1
Mathematics · Medicine · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Quantum Algebra (math.QA) #math.DG #math.QA

paper · pdf · doi:10.48550/arxiv.math/0303298

13 pages, LaTeX

arxiv created 2003/03/24 · openalex publication_date 2003/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a quasi-Poisson version of the Drinfeld's correspondence between Poisson homogeneous spaces and Lagrangian subalgebras.

Citations

• Quasi-Poisson Manifolds

Related

• Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld
• Poisson homogeneous spaces of Poisson 2-groups
• A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
• A note on Poisson homogeneous spaces
• The Classification of Dirac Homogeneous Spaces