On Lie algebroids and Poisson algebras

Dennise García-Beltrán*, José A. Vallejo, Yuriǐ Vorobjev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Article number006
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - 10 Feb 2012


  • Algebraic connections
  • Lie-Rinehart algebras
  • Poisson brackets
  • Transitive Lie algebroids


Dive into the research topics of 'On Lie algebroids and Poisson algebras'. Together they form a unique fingerprint.

Cite this