Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500435 | Differential Geometry and its Applications | 2005 | 22 Pages |
Abstract
We prove that, for any transitive Lie bialgebroid (A, Aâ), the differential associated to the Lie algebroid structure on Aâ has the form dâ=[Î,â
]A+Ω, where Î is a section of â§2A and Ω is a Lie algebroid 1-cocycle for the adjoint representation of A. Globally, for any transitive Poisson groupoid (Î,Î ), the Poisson structure has the form Î =ÎââÎâ+Î F, where Î F is a bivector field on Î associated to a Lie groupoid 1-cocycle.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Z. Chen, Z.-J. Liu,