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arXiv · 1910.12225

On Lie Bialgebroid Crossed Modules

Honglei Lang·Yu Qiao·Yanbin Yin
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Abstract

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 $(K,P,Q)$ is established, where $K$ is a co-quadratic Lie algebroid and $(P,Q)$ is a pair of transverse Dirac structures in $K$.

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Honglei Lang, Yu Qiao, Yanbin Yin. 2019-10-27. On Lie Bialgebroid Crossed Modules. https://arxiv.org/abs/1910.12225

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