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Lie-Nijenhuis bialgebroids

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 نشر من قبل Thiago Drummond
 تاريخ النشر 2020
  مجال البحث
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 تأليف Thiago Drummond




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We introduce Lie-Nijenhuis bialgebroids as Lie bialgebroids endowed with an additional derivation-like object. They give a complete infinitesimal description of Poisson-Nijenhuis groupoids, and key examples include Poisson-Nijenhuis manifolds, holomorphic Lie bialgebroids and flat Lie bialgebra bundles. To achieve our goal we develop a theory of generalized derivations and their duality, extending the well-established theory of derivations on vector bundles.



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