English

Lie Algebroids in the Loday-Pirashvili Category

Quantum Algebra 2015-10-05 v3 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1412.5981,
  title  = {Lie Algebroids in the Loday-Pirashvili Category},
  author = {Ana Rovi},
  journal= {arXiv preprint arXiv:1412.5981},
  year   = {2015}
}