Lie Algebroids in the Loday-Pirashvili Category

Symmetry Integrability and Geometry-Methods and Applications

article

Ana Rovi¹ 

[1] School of Mathematics and Statistics, University of Glasgow, University Gardens

关键词: Lie algebroid;    Leibniz algebra;    Courant algebroid;    Leibniz algebroid;   

DOI  :  10.3842/SIGMA.2015.079

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown