Lie Algebroids in the Loday-Pirashvili Category

preprint2015arXivOpen access

Abstract

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

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