Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256086 | Journal of Geometry and Physics | 2016 | 23 Pages |
Abstract
A Poisson structure on a homogeneous space of a Poisson groupoid is homogeneous if the action of the Lie groupoid on the homogeneous space is compatible with the Poisson structures. According to a result of Liu, Weinstein and Xu, Poisson homogeneous spaces of a Poisson groupoid are in correspondence with suitable Dirac structures in the Courant algebroid defined by the Lie bialgebroid of the Poisson groupoid. We show that this correspondence result fits into a more natural context: the one of Dirac groupoids, which are objects generalizing Poisson groupoids and multiplicative closed 2-forms on groupoids.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Madeleine Jotz Lean,