Dirac structures and Poisson homogeneous spaces

Zhang Ju Liu; Alan Weinstein; Ping Xu

doi:10.1007/s002200050293

Dirac structures and Poisson homogeneous spaces

Zhang Ju Liu
, Alan Weinstein
, Ping Xu

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

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	https://doi.org/10.1007/s002200050293
State	Published - 1998

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s002200050293

Cite this

@article{5888b7b7234144e5b92fa1d4a26f7ba5,

title = "Dirac structures and Poisson homogeneous spaces",

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.",

author = "Liu, \{Zhang Ju\} and Alan Weinstein and Ping Xu",

year = "1998",

doi = "10.1007/s002200050293",

language = "English (US)",

volume = "192",

pages = "121--144",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Dirac structures and Poisson homogeneous spaces

AU - Liu, Zhang Ju

AU - Weinstein, Alan

AU - Xu, Ping

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0032021284

UR - https://www.scopus.com/pages/publications/0032021284#tab=citedBy

U2 - 10.1007/s002200050293

DO - 10.1007/s002200050293

M3 - Article

AN - SCOPUS:0032021284

SN - 0010-3616

VL - 192

SP - 121

EP - 144

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

ER -

Dirac structures and Poisson homogeneous spaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this