English

Poisson homogeneous spaces of Poisson 2-groups

Mathematical Physics 2025-03-10 v1 math.MP

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.

Keywords

Cite

@article{arxiv.2503.05080,
  title  = {Poisson homogeneous spaces of Poisson 2-groups},
  author = {Honglei Lang and Zhangju Liu},
  journal= {arXiv preprint arXiv:2503.05080},
  year   = {2025}
}