DIRAC STRUCTURES AND POISSON HOMOGENEOUS SPACES

Authors
LIU ZJ WEINSTEIN A XU P
Citation
Zj. Liu et al., DIRAC STRUCTURES AND POISSON HOMOGENEOUS SPACES, Communications in Mathematical Physics, 192(1), 1998, pp. 121-144
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
192
Issue
1
Year of publication
1998
Pages
121 - 144
Database
ISI
SICI code
0010-3616(1998)192:1<121:DSAPHS>2.0.ZU;2-P
Abstract
Poisson homogeneous spaces for Poisson groupoids are classified in ter ms of Dirac structures for the corresponding Lie bialgebroids. Applica tions 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.