Lie Algebroids in the Loday-Pirashvili Category

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.

References in corpus (5)

• Leibniz algebroids, twistings and exceptional generalized geometry
• Deformations of 3-algebras
• Modular Classes of Loday Algebroids
• Courant Algebroids. A Short History
• Racks, Leibniz algebras and Yetter-Drinfel'd modules

Cited by in corpus (1)

• Algebraic exponentiation for Lie algebras