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

51 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

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10.1007/s002200050293

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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",

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journal = "Communications In Mathematical Physics",

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publisher = "Springer New York",

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AU - Liu, Zhang Ju

AU - Weinstein, Alan

AU - Xu, Ping

PY - 1998

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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.

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U2 - 10.1007/s002200050293

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JF - Communications In Mathematical Physics

IS - 1

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Dirac structures and Poisson homogeneous spaces

Abstract

All Science Journal Classification (ASJC) codes

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