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Poisson double structures

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 نشر من قبل Matias L. del Hoyo
 تاريخ النشر 2021
  مجال البحث
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We introduce Poisson double algebroids, and the equivalent concept of double Lie bialgebroid, which arise as second-order infinitesimal counterparts of Poisson double groupoids. We develop their underlying Lie theory, showing how these objects are related by differentiation and integration. We use these results to revisit Lie 2-bialgebras by means of Poisson double structures.



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