Lie Algebroids in the Loday-Pirashvili Category

[摘要] We describe Lie-Rinehart algebras in the tensor category $\mathcal{LM}$ of linear maps in the sense of Loday and Pirashvili and construct a functor from Lie-Rinehart algebras in $\mathcal{LM}$ to Leibniz algebroids.

[关键词] Lie algebroid;Leibniz algebra;Courant algebroid;Leibniz algebroid