On Lie Algebroids and Poisson Algebras

Dennise García-Beltrán, José A. Vallejo, Yurii Vorobjev

Published 2011-06-08, updated 2012-02-10Version 2

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.