On Lie Algebroids and Poisson Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: García-Beltrán, D., Vallejo, J.A., Vorobjev, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148369
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Lie Algebroids and Poisson Algebras / D. García-Beltrán, J.A. Vallejo, Y. Vorobjev // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ.

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...