| The Dirac Structures and Poisson Reductions on Groupoids |
| Received:April 11, 2001 |
| Key Words:
Poisson groupoid Poisson action Lie bialgebroid Poisson homoge-neous.
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| Abstract: |
| In this paper, we discuss the Dirac structures in Lie bialgebroids and on groupoids. We use the conception of characteristic pairs of Dirac structures to give the new characterization about invariant Dirac structures on actions and pull back Dirac structures. We use the properties of Dirac structures to discuss Poisson homogeneous spaces and Poisson reduction. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2003.04.020 |
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