Poisson homogeneous spaces of Poisson 2-groups

Drinfeld classified Poisson homogeneous spaces of a Poisson Lie group in terms of Dirac structures of the Lie bialgebra. In this paper, we study homogeneous spaces of a 2-group and develop Drinfeld theorem in the Poisson 2-group context.

Publication Details

Journal
ArXiv.org
Published
2025-03-06
Primary Topic
Advanced Differential Geometry Research
Type
article
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article

Poisson homogeneous spaces of Poisson 2-groups

ArXiv.org
Advanced Differential Geometry Research
article

Poisson homogeneous spaces of Poisson 2-groups

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Abstract

Drinfeld classified Poisson homogeneous spaces of a Poisson Lie group in terms of Dirac structures of the Lie bialgebra. In this paper, we study homogeneous spaces of a 2-group and develop Drinfeld theorem in the Poisson 2-group context.

ArXiv.org
Openalex Percentile: Top 57%
Advanced Differential Geometry Research
Open Access PDFOpenAlex
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Poisson homogeneous spaces of Poisson 2-groups · ArXiv.org (2025) | TGRS Research Map | TGRS