On Lie Algebroids and Poisson Algebras

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 connec...

Full description

Bibliographic Details
Main Authors: Yuriĭ Vorobjev, Dennise García-Beltrán, José A. Vallejo
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.006