On Lie Algebroids and Poisson Algebras
Differential Geometry
2012-02-13 v2 Mathematical Physics
math.MP
Abstract
We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections.
Cite
@article{arxiv.1106.1512,
title = {On Lie Algebroids and Poisson Algebras},
author = {Dennise García-Beltrán and José A. Vallejo and Yurii Vorobjev},
journal= {arXiv preprint arXiv:1106.1512},
year = {2012}
}