On Lie Algebroids and Poisson Algebras

Symmetry Integrability and Geometry-Methods and Applications

article

Dennise García-Beltrán¹  José A. Vallejo¹  Yuriĭ Vorobjev² 

[1] Universidad Autónoma de San Luis Potosí;Universidad de Sonora

关键词: transitive Lie algebroids;    Lie–Rinehart algebras;    Poisson brackets;    algebraic connections;   

DOI  :  10.3842/SIGMA.2012.006

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown