Equivalence of the categories of modules over Lie algebroids

@inproceedings{Hirota2013EquivalenceOT,
  title={Equivalence of the categories of modules over Lie algebroids},
  author={Yuji Hirota},
  year={2013}
}
AbstractWe study geometric representation theory of Lie algebroids. A new equivalence relationfor integrable Lie algebroids is introduced and investigated. It is shown that two equivalentLie algebroids have equivalent categories of infinitesimal actions of Lie algebroids. As anapplication, it is also shown that the Hamiltonian categories for gauge equivalent Dirac struc-tures are equivalent as categories. Mathematics Subject Classification (2000). 53D17Keywords. Poisson manifolds, Lie groupoids… CONTINUE READING
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