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Lie Algebroids in the Loday-Pirashvili Category

Published 18 Dec 2014 in math.QA and math.RA | (1412.5981v3)

Abstract: 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.

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