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arXiv · 1106.1512

On Lie Algebroids and Poisson Algebras

Dennise García-Beltrán·José A. Vallejo·Yurii Vorobjev
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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.

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BibTeXRIS

Dennise García-Beltrán, José A. Vallejo, Yurii Vorobjev. 2012-02-10. On Lie Algebroids and Poisson Algebras. https://doi.org/10.3842/sigma.2012.006

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