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On Lie Bialgebroid Crossed Modules

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 نشر من قبل Yu Qiao
 تاريخ النشر 2019
  مجال البحث فيزياء
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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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