Abstract
Poisson homogeneous spaces for Poisson groupoids are classified in terms of Dirac structures for the corresponding Lie bialgebroids. Applications include Drinfel'd's classification in the case of Poisson groups and a description of leaf spaces of foliations as homogeneous spaces of pair groupoids.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 121-144 |
| Number of pages | 24 |
| Journal | Communications In Mathematical Physics |
| Volume | 192 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1998 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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