On Lie Algebroids and Poisson Algebras

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.

Cited by in corpus (4)

• Infinitesimal Poisson Algebras and Linearization of Hamiltonian Systems
• Poisson Structures on Trivial Extension Algebras
• On almost complex Lie algebroids
• On Lie superalgebroids of Poisson type