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Equivalence of the categories of modules over Lie algebroids

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 نشر من قبل Yuji Hirota
 تاريخ النشر 2013
  مجال البحث
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 تأليف Yuji Hirota




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We study geometric representation theory of Lie algebroids. A new equivalence relation for integrable Lie algebroids is introduced and investigated. It is shown that two equivalent Lie algebroids have equivalent categories of infinitesimal actions of Lie algebroids. As an application, it is also shown that the Hamiltonian categories for gauge equivalent Dirac structures are equivalent as categories.



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