Посилання: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.
Підтримка:JAV and DGB express their gratitude to the members of the Department of Mathematics of the University of Sonora (where part of this work was done), particularly to R. Flores-Espinoza and G. D´avila-Rasc´on, for their warm hospitality. JAV also thanks the National Council of Science and Technology in Mexico (CONACyT), for the research grant JB2-CB-78791.
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.