On Lie bialgebroid crossed modules

@article{Lang2019OnLB,
  title={On Lie bialgebroid crossed modules},
  author={Honglei Lang and Yu Qiao and Yanbin Yin},
  journal={International Journal of Mathematics},
  year={2019}
}
We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence between such Lie bialgebroid crossed modules and co-quadratic Manin triples [Formula: see text] is established, where [Formula: see text] is a co-quadratic Lie algebroid and [Formula: see text] is a pair of transverse Dirac structures in [Formula: see text]. 
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